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A Crash Course in the Mathematics of Infinite Sets
A Crash Course in the Mathematics of Infinite SetsDiscussion
Discussion for A Crash Course in the Mathematics of Infinite Sets
Pooya Shahi
(Student)
A Crash Course in the Mathematics of Infinite Sets is simply written and easy to understand. It starts by clearing up needed definitions, such as cardinality, subsets, natural numbers, and integers. The definitions are clearly written.
Then it goes through a long list of 24 theorems, some of which are hard to understand without prior knowledge. Overall, this would be a good source to use if writing a paper of Infinite Sets.
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Willingboro SAT believe the phobia comes from the way they were introduced to the fundamentals of Mathematics in the very beginning. Math and all other exact science courses like Physics and Chemistry build up from the basic fundamentals to very complex algorithms. For example, the fundamental principle of e...
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Precalculus: Functions and Graphs, 12th Edition
Editorial Reviews
Clear explanations, an uncluttered and appealing layout, and examples and exercises featuring a variety of real-life applications have made this book. The book also provides calculator examples, including specific keystrokes that show how to use various graphing calculators to solve problems more quickly. Perhaps most important–this book effectively prepares readers for further courses in mathematics
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Summary
At first glance, mathematics and music seem to be from separate worlds—one from science, one from art. But in fact, the connections between the two go back thousands of years, such as Pythagoras's ideas about how to quantify changes of pitch for musical tones (musical intervals). Mathematics and Music: Composition, Perception, and Performance explores the many links between mathematics and different genres of music, deepening students' understanding of music through mathematics.
In an accessible way, the text teaches the basics of reading music and explains how various patterns in music can be described with mathematics. The authors extensively use the powerful time-frequency method of spectrograms to analyze the sounds created in musical performance. Numerous examples of music notation assist students in understanding basic musical scores. The text also provides mathematical explanations for musical scales, harmony, and rhythm and includes a concise introduction to digital audio synthesis.
Along with helping students master some fundamental mathematics, this book gives them a deeper appreciation of music by showing how music is informed by both its mathematical and aesthetic structures.
Web Resource On the book's CRC Press web page, students can access videos of many of the spectrograms discussed in the text as well as musical scores playable with the free music software MuseScore. An online bibliography offers many links to free downloadable articles on math and music. The web page also provides links to other websites related to math and music, including all the sites mentioned in the book.
A Geometry of Harmony Riemann's Chromatic Inversions A Network of Triadic Chords Embedding Pitch Classes within the Tonnetz Other Chordal Transformations
Audio Synthesis in Music Creating New Music from Spectrograms Phase Vocoding Time Stretching and Time Shrinking MIDI Synthesis A Exercise Solutions B Music Software C Amplitude and Frequency Results D Glossary E Permissions Bibliography Index
Author Bio(s)
Editorial Reviews
"Although this book is structured like a textbook (with exercises and extra material at the textbook website), it is much more. … And there is some fascinating music trivia scattered throughout, like the fact that Mozart never used the iii to IV chord progression, the fact that the Beatles' Eleanor Rigby is a multi-modal composition, and the interesting remix story of the Beatles' Strawberry Fields Forever. If you have at least a moderate background in both music and mathematics, there is some great fun here." —Donald L. Vestal, MAA Reviews, January 2014
"This book strikes an interesting balance between theoretical development and practical, concrete material. A companion website contains audio, video and score files for many of the examples; supplementary reading; and many external links." —David Warren Bulger, Mathematical Reviews, November 2013
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Calculus II Rapid Learning Series is the second of the three-course calculus sequence (I, II & III), designed typically for math, science and engineering majors or anyone who is required to take three semesters of calculus courses in college. This sequence of three courses cover the single variable and multivariable calculus. If you are required to take only one semester of calculus course, go for our College Calculus - RL411. If you are required to take three semesters of calculus courses, you should take our Calculus I, Calculus II and Calculus III, each represents one-semester of contents sequentially.
With the understanding of the fact that for many students calculus is a difficult subject, we adapt a more gentle and visual approach to calculus concepts. This ensures the learning of calculus is easy and fun, by watching the YouTube like videos and playing interactive drills.
Starting with your basic understanding of functions and graphs, we introduce the concept of limits visually and build the foundation of calculus. For the core units of derivative and integral, we illustrate each concept graphically and demonstrate how to solve each type of calculus problems step by step. We then help to build your critical skills in problem solving, graphing calculators and calculus exam with visualization and examples.
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Interpolation and Regression are fundamental and important calculations in mathematics. Mr. Newton and Mr. Gauss were engaged in-depth with numerical solutions for these problems. Today, there are improved algorithms, that can solve such tasks. InterReg allows you to do such complex calculations just with some point-and-click. So this program is not only for mathematics and engineers. Free for students and schools
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This web site is in support of Comp 600 module on Approximation by Trigonometric
Polynomials taught by Dr. Don Short.
The purpose of this module is to ensure that students in the Computational Sciences
Program have a working knowledge of Calculus and Linear Algebra and that each student can
perform computer calculations with appropriate computer generated visualizations. In
addition, the subject matter of signal processing and discrete Fourier Transforms is
fundamental to the solution of many scientific problems. This module will follow the
material given in the document, "Approximation by Trigonometric Polynomials".
You can download a Portable Document Format version of Approximation by Trigonometric Polynomials
[419 KB], which contains 28 pages of text and figures including the MATLAB code used to
generate all of the examples. If you do not have Acrobat Reader to
get a free copy just click and follow the instructions.
This module will begin with lectures following the document "Approximation by
Trigonometric Polynomials". Students will complete a problem set based on this
material. All demonstrations of techniques will use the MATLAB computational and
visualization environment. Each student will analyze a data set from their own
particular area of study for periodic behavior and present the findings to the class.
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Synopses & Reviews
Publisher Comments:
REAs Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Boolean Algebra includes set theory, sentential calculus, fundamental ideas of Boolean algebras, lattices, rings and Boolean algebras, the structure of a Boolean algebra, and Boolean algebra in communication systems.
Synopsis:Synopsis:
Topics include set theory, sentential calculus, fundamental ideas of Boolean algebras, lattices, rings and Boolean algebras, the structure of a Boolean algebra, and Boolean algebra in communication systems."Synopsis"
by Libri,
Topics include set theory, sentential calculus, fundamental ideas of Boolean algebras, lattices, rings and Boolean algebras, the structure of a Boolean algebra, and Boolean algebra in communication
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Introduction to the History of Mathematics
9780030295584
ISBN:
0030295580
Edition: 6 Pub Date: 1990 Publisher: Thomson Learning
Summary: This classic best-seller by a well-known author introduces mathematics history to math and math education majors. Suggested essay topics and problem studies challenge students. CULTURAL CONNECTIONS sections explain the time and culture in which mathematics developed and evolved. Portraits of mathematicians and material on women in mathematics are of special interest.
Eves, Howard W. is the author of Introduc...tion to the History of Mathematics, published 1990 under ISBN 9780030295584 and 0030295580. Three hundred sixty five Introduction to the History of Mathematics textbooks are available for sale on ValoreBooks.com, one hundred fifteen used from the cheapest price of $19.18, or buy new starting at $256.95.[read more]
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This is a part of the interactive online tutorial for Geometry learning with the help of audio visual lessons. It has been created to help you learn the concept, perception with explanations and includes solution to practice questions from the topic of 'Factoring binomials and polynomials'. The mini-lessons here include: Getting started, Factoring an expression of exponents with the same base, Factoring a quadratic into binomials, Factoring a quadratic using the perfect square method, Factoring a 3rd degree polynomial.Last Updated:Nov-27-2008
Subject(s):
Mathematics
Mathematics > Algebra
Educational Level(s):
Grades 9-10 / Ages 14-16
Grades 11-12 / Ages 16-18
Instructional Component Type(s):
Curriculum: Lesson Plan clicking
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Featured Research
from universities, journals, and other organizations
The aftermath of calculator use in college classrooms
Date:
November 12, 2012
Source:
University of Pittsburgh
Summary:
Math instructors promoting calculator usage in college classrooms may want to rethink their teaching strategies, experts say. They have proposed the need for further research regarding calculators' role in the classroom after conducting a limited study with undergraduate engineering students.
Share This
Math instructors promoting calculator usage in college classrooms may want to rethink their teaching strategies, says Samuel King, postdoctoral student in the University of Pittsburgh's Learning Research & Development Center. King has proposed the need for further research regarding calculators' role in the classroom after conducting a limited study with undergraduate engineering students published in the British Journal of Educational Technology.
Related Articles
"We really can't assume that calculators are helping students," said King. "The goal is to understand the core concepts during the lecture. What we found is that use of calculators isn't necessarily helping in that regard."
Together with Carol Robinson, coauthor and director of the Mathematics Education Centre at Loughborough University in England, King examined whether the inherent characteristics of the mathematics questions presented to students facilitated a deep or surface approach to learning. Using a limited sample size, they interviewed 10 second-year undergraduate students enrolled in a competitive engineering program. The students were given a number of mathematical questions related to sine waves -- a mathematical function that describes a smooth repetitive oscillation -- and were allowed to use calculators to answer them. More than half of the students adopted the option of using the calculators to solve the problem.
"Instead of being able to accurately represent or visualize a sine wave, these students adopted a trial-and-error method by entering values into a calculator to determine which of the four answers provided was correct," said King. "It was apparent that the students who adopted this approach had limited understanding of the concept, as none of them attempted to sketch the sine wave after they worked out one or two values."
After completing the problems, the students were interviewed about their process. A student who had used a calculator noted that she struggled with the answer because she couldn't remember the "rules" regarding sine and it was "easier" to use a calculator. In contrast, a student who did not use a calculator was asked why someone might have a problem answering this question. The student said he didn't see a reason for a problem. However, he noted that one may have trouble visualizing a sine wave if he/she is told not to use a calculator.
"The limited evidence we collected about the largely procedural use of calculators as a substitute for the mathematical thinking presented indicates that there might be a need to rethink how and when calculators may be used in classes -- especially at the undergraduate level," said King. "Are these tools really helping to prepare students or are the students using the tools as a way to bypass information that is difficult to understand? Our evidence suggests the latter, and we encourage more research be done in this area."
King also suggests that relevant research should be done investigating the correlation between how and why students use calculators to evaluate the types of learning approaches that students adopt toward problem solving in mathematics.
University of Pittsburgh. "The aftermath of calculator use in college classrooms." ScienceDaily. ScienceDaily, 12 November 2012. <
University of Pittsburgh. (2012, November 12). The aftermath of calculator use in college classrooms. ScienceDaily. Retrieved October 30, 2014 from
University of Pittsburgh. "The aftermath of calculator use in college classroomsFeb. 5, 2013 — Researchers have developed a classroom design that gives instructors increased flexibility in how to teach their courses and improves accessibility for students, while slashing administrative
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I am looking for reccomendations for a MapleVR4 text or tutorial which is oriented towards maple newbies and symbolically solving 2 and higher order ODE and PDEs. The text will be used by third and fourth year nuclear engineering students primarily for radiation transport theory. Thanks, Jon
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Bob Blitzer's unique background in mathematics and behavioral sciences, along with his commitment to teaching, inspired him to develop a precalculus series that gets readers engaged and keeps them engaged. Presenting the full scope of the mathematics is just the first step. Blitzer draws in the reader with vivid applications that use math to solve real-life problems. These applications help answer the question "When will I ever use this?" Readers stay engaged because the book helps them remain focused as they study. The three-step learning system–See It, Hear It, Try It–makes examples easy to follow, while frequent annotations offer the support and guidance of an instructor's voice. Every page is interesting and relevant, ensuring that readers will actually use their textbook to achieve success! Prerequisites: Fundamental Concepts of Algebra; Functions and Graphs; Polynomial and Rational Functions; Exponential and Logarithmic Functions; Trigonometric Functions; Analytic Trigonometry; Additional Topics in Trigonometry; Systems of Equations and Inequalities; Matrices and Determinants; Conic Sections and Analytic Geometry; Sequences, Induction, and Probability; Introduction to Calculus For all readers interested in college algebra.
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Mathematical Methods in the Physical Sciences - 3rd edition
Summary: Now in its third edition, Mathematical Concepts in the Physical Sciences provides a comprehensive introduction to the areas of mathematical physics. It combines all the essential math concepts into one compact, clearly written reference.
The Geometric Series. Definitions and Notation. Applications of Series. Convergent and Divergent Series. Convergence Tests. Convergence Tests for Series of Positive Terms. Alternating Series. Conditionally Convergent Series. Useful Facts about Series. Power Series; Interval of Convergence. Theorems about Power Series. Expanding Functions in Power Series. Expansion Techniques. Accuracy of Series Approximations. Some Uses of Series.
Introduction and Notation. Power Series in Two Variables. Total Differentials. Approximations using Differentials. Chain Rule. Implicit Differentiation. More Chain Rule. Maximum and Minimum Problems. Constraints; Lagrange Multipliers. Endpoint or Boundary Point Problems. Change of Variables. Differentiation of Integrals.
Introduction. Applications of Vector Multiplication. Triple Products. Differentiation of Vectors. Fields. Directional Derivative; Gradient. Some Other Expressions Involving V. Line Integrals. Green's Theorems in the Plane. The Divergence and the Divergence Theorem. The Curl and Stokes' Theorem.
Chapter 7: Fourier Series and Transforms.
Introduction. Simple Harmonic Motion and Wave Motion; Periodic Functions. Applications of Fourier Series. Average Value of a Function. Fourier Coefficients. Complex Form of Fourier Series. Other Intervals. Even and Odd Functions. An Application to Sound. Parseval's Theorem. Fourier Transforms.
0471198269119
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Starting at $59Engineering Computation with MATLAB
Engineering Computation with Matlab
Summary
This textbook is ideal for MATLAB/Introduction to Programming courses in both Engineering and Computer Science departments. It is also a suitable introduction for beginning programmers.
Engineering Computation with MATLAB introduces the power of computing to engineering students who have no programming experience. The book places the fundamental tenets of computer programming into the context of MATLAB, employing hands-on exercises, examples from the engineering industry, and a variety of core tools to increase programming proficiency and capability. With this knowledge, students are prepared to adapt learned concepts to other programming languages.
Author Biography
David Smith has been teaching introductory computer science classes for engineers at the Georgia Institute of Technology since 1997 when he retired from industry. Previously, he worked 31 years for Lockheed-Martin at their Marietta, Georgia, facility as a systems and software specialist with a focus on intelligent systems. He was active in designing and developing software for the C-130J, C-27J, F-22 and C-5 aircraft, and was the technical leader of the Pilot's Associate program, a $42 million research project sponsored by the Defense Advanced Research Projects Agency.
He has a bachelor's degree in aeronautical engineering from Southampton University, and a master's degree in control systems from Imperial College, London.
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Mathematics
Mathematics is perhaps the most fundamental tool we have to describe the universe. Numbers, formulas, and algorithms help us understand the rules that govern the natural world by explaining everything from the massive scale of planetary motion down to the behavior of subatomic particles. They help us to predict how businesses will develop, allowing us to make stock market predictions. They quantify human behavior through the social sciences. They advance technology through their roles in computing and programming.
To earn a mathematics minor, you'll take rigorous classes in calculus and differential equations, developing practical skills that can be applied to many different careers.
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In all its practical uses, science works to entrench anthropocentrism. It encourages us to believe that, unlike any other animal, we can understand the natural world, and thereby bend it to our will.John Gray
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Contents
Crossing the River with Dogs: Problem Solving for College Students has been adapted from the popular high school text to provide an accessible and coherent college-level course in mathematical problem solving for adults.
Crossing the River with Dogs: Problem Solving for College Students has been adapted from the popular high school text to provide an accessible and coherent college-level course in mathematical problem solving for adults. Focusing entirely on problem solving and using issues relevant to college students for examples, the authors continue their approach of explaining classic as well as non-traditional strategies through dialogs among fictitious students. This text is appropriate for a problem solving, liberal arts mathematics, mathematics for elementary teachers, or developmental mathematics course.
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Syllabus MAT 489
Fundamental Mathematics and Teaching in Secondary Schools
This is a sample syllabus only. Ask your instructor for the official syllabus for your course.
Instructor:
Office:
Office hours:
Phone:
Email:
Course Description
The synthesis and analysis of secondary mathematics and its
teaching. Emphasis will be placed on algebraic thinking and its
teaching in high school. Observation and discussion of teaching
will be an important activity in this course.
Course Outcomes
Demonstrate understanding of how current research pertains to
the teaching of mathematics in secondary schools,
Demonstrate ability to apply the following concepts from an
advanced standpoint to the teaching of mathematics in secondary
schools, ie. algebraic thinking, real numbers, complex numbers,
real function, solving equations, integers, and polynomials;
Demonstrate through written or visual/oral presentations, usage
of effective school mathematics teaching after each focused
observation.
Demonstrate their ability to analyze and evaluate the teaching
of secondary mathematics by analyzing a case of teaching when
presented a video taped lesson. Students will include in their
analysis concepts and principles from research, teaching techniques
from their observations, and task analyze from a curricular point
of view.
Evaluation
Grades (general meaning)
A = Meeting all goals and objectives exceeding minimum
standards with excellent quality of work.
B = Meeting all goals and objectives exceeding minimum
standards with very good quality of work.
C = Meeting all goals and objectives at minimum standards with
good quality of work.
C- = Meeting most goals and objectives at minimum standards.
D = Not meeting most goals and objectives at minimum standards
with poor quality work.
F = Meeting very few goals and objectives with extremely poor
quality work.
Categories of assessments
Tests
Tests will be equally weighted on-demand pencil and paper
assessments of student knowledge based on class discussions, class
work, and assignments. Tests can be retaken for a better grade.
This test can only be retaken after the student has talked with the
instructor. If you do worse on the retake, no change will occur in
your grade. If you achieve a higher grade on the retake, that grade
will replace the lower one. This is a no lose retake test! The
FINAL will be comprehensive.
Assignments
Assignments will be given during the semester for each section
in the syllabus. We will talk about most of the problems on those
assignments. Work and rework the problems until you have a
solution. These problems are for your thinking and learning, and I
will not "grade" the homework per se, but you will submit the
homework one week after the conclusion of each chapter. We will
discuss the homework in class to a limited extent (no more than 15
minutes), on an as needed basis.
Reading Review Assignment
Additionally, you will be assigned readings. A one page write-up
is required for each reading assignment and will be turned in the
day it is due. The reading review assignment is due when the
reading is to be discussed and is listed in the calendar below. Use
the following format for your write-up: List
three things you've learned from the reading, your reaction to the
reading, and a question you would like me (or your peers) to
answer. This write-up needs to be typed, double-spaced, one-page
long with one-inch borders in 12 point times or courier
font.
Teaching Observations
Students will observe mathematics teaching in secondary
classrooms for at least 40 hours during the semester. Each
observation will be recorded on a form discussed in class. Students
will be given a purpose for their observations each week. These
purposes will include observe the teacher's use of mathematics
tasks during the lesson, observe the teacher's discourse during the
lesson-especially the use of questions, observe students' response
to teacher questions-how do teacher questions affect their
thinking, observe the tools teachers use to enhance discourse-such
as technology, tables, graphs, concrete materials and so on,
observe how the teacher creates the learning environment, and
lastly, how does the teacher ensure that every student is learning.
Discussions in class will emphasize the effective use of these
practices in light of the research of best practices.
Participation
Attendance is required. If difficulties or emergencies arise,
please contact me as soon as possible. You can call my office voice
mail anytime to leave a message.
Incomplete Grade (I)
A grade of Incomplete (I) may be assigned if you are unable to
complete a definable portion of the class due to unforeseen
circumstances. The student is responsible for applying for an
Incomplete by completing the appropriate form before the week of
finals. A grade of U (unauthorized incomplete) will be assigned if
you did not withdraw from the course and you did not finish the
course requirements.
Academic Integrity
CSUDH expects students, staff, faculty, and administrators to
show mutual respect and to adhere to scholastic honesty in the
pursuit of intellectual, social and personal advancement. As an
institution, CSUDH deplores cheating, fraud, plagiarism and any
other type of academic dishonesty. CSUDH reserves the right to
initiate a series of disciplinary measures or sanctions to secures
academic integrity as described in the CSUDH Catalog.
Pagers and Cell Phones
Pagers and mobile phones must be turned off or operate in silent
mode during class hours. Under no circumstances are you to take a
call during class. If the call is important, step outside the
room!
Calendar
Week
Problem Solving in Mathematics
Observations of high school mathematics teaching-using the
observation form.
Week
What is Meant by "An Advanced Perspective"? Ch 1
Observations of high school mathematics teaching-- observe the
teacher's use of mathematics tasks during the lesson.
Discuss Chapter 1 Teaching Gap.
Week
The Real Numbers; Ch 2.1
Observations of high school mathematics teaching-- observe the
teacher's use of mathematics tasks during the lesson.
Discuss Chapter 2 Teaching Gap.
Week
The Complex Numbers; Ch 2.2
Observations of high school mathematics teaching-- observe
students' response to teacher questions.
Discuss Chapter 3 Teaching Gap.
Week
Functions; Ch 3.1
Observations of high school mathematics teaching-- observe
students' response to teacher questions.
Discuss Chapter 4 Teaching Gap.
Week
Properties of Real Functions; Ch 3.2
Observations of high school mathematics teaching-- observe the
tools teachers use to enhance discourse.
Discuss Chapter 5 Teaching Gap.
Week
Problems Involving Real Functions; Ch 3.3
Observations of high school mathematics teaching-- observe the
tools teachers use to enhance discourse.
Discuss Chapter 6 Teaching Gap.
Week
The Concept of Equation; Ch 4.1
Observations of high school mathematics teaching-- observe how
the teacher creates the learning environment.
Discuss Chapter 7 Teaching Gap.
Week
Algebraic Structures and Solving Equations; Ch 4.2
Observations of high school mathematics teaching-- observe how
the teacher creates the learning environment.
Discuss Chapter 8 Teaching Gap.
Week
The Solving Process; Ch 4.3
Observations of high school mathematics teaching-- observe how
the teacher creates the learning environment.
Discuss Chapter 9 Teaching Gap.
Week
Natural Numbers, Induction, and Recursion; Ch 5.1
Observations of high school mathematics teaching-- observe how
the teacher creates the learning environment.
Discuss Chapter 10 Teaching Gap.
Week
Divisibility Properties of the Integers; Ch 5.2
Observations of high school mathematics teaching-- how does the
teacher ensure that every student is learning?
Week
Divisibility Properties of Polynomials; Ch 5.3
Observations of high school mathematics teaching-- how does the
teacher ensure that every student is learning?
Week
The Systems of Modular Arithmetic; Ch 6.1
Observations of high school mathematics teaching-- how does the
teacher ensure that every student is learning?
Week
Number Fields; Ch 6.2
Accomodations for Students with Disabilities
Cal State Dominguez Hills adheres to all applicable federal,
state, and local laws, regulations, and guidelines with respect to
providing reasonable accommodations for students with temporary and
permanent disabilities. If you have a disability that may adversely
affect your work in this class, I encourage you to register with
Disabled Student Services (DSS) and to talk with me about how I can
best help you. All disclosures of disabilities will be kept
strictly confidential. Please note: no accommodation may be made
until you register with the DSS in WH B250. For information call
(310) 243-3660 or to use telecommunications Device for the Deaf,
call (310) 243-2028.
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Following an innovative approach to learning, this text integrates paper and pencil skill building and the theoretical development of ideas with geometric exploration and conceptual understanding.Tutorials and traditional text. Visual Linear Algebra... (read more)
Tried and true, Gustafson and Frisk's ALGEBRA FOR COLLEGE STUDENTS teaches solid mathematical skills while supporting the student with careful pedagogy. Each book in this series maintains the authors' proven style through clear, no-nonsense explanations,... (read more)
Who knew solving math problems could be fun? Filled with amusing, and sometimes goofy scenarios, this uses short and manageable lessons to help students learn. This formula, as applied in the Adult Skill Builders series, has helped thousands of readers... (read more)
A classic text and standard reference for a generation, this volume and its companion are the work of an expert algebraist who taught at Yale for two decades. Nathan Jacobson's books possess a conceptual and theoretical orientation, and in addition to... (read more)
This volume was produced in conjunction with the Thematic Program in o-Minimal Structures and Real Analytic Geometry, held from January to June of 2009 at the Fields Institute. Five of the six contributions consist of notes from graduate courses
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Imagine a class with balanced instruction, alternating between whole Direct group directGroup Work Instruction instruction and small group explorations. A class where technology is used as an instructional tool, not as a replacement for instructors.
12.
Is this just alofty dream or isthis possible?
13.
MLCS Mathematical Literacy for College Students, or MLCS, is such a course.
15.
We have been developing a version of this course since 2010. Our workKathleen Almy is based on the work Kathleen did with theHeather Foes AMATYC and Carnegie Initiatives. Pilots began at our school in fall 2011.
22.
Technology isused as it is in theworkplace:whatever makessense at the time.That could be acalculator butoften it is mentalmath or Excel.MyMathLabsupportsinstruction butdoes not replaceit.
23.
Together, these aspects combine Engagement to form a rich course that is engaging for all. Standards More than that, it provides Rigor appropriate preparation for non-STEM courses while maintaining standards and rigor.
24.
Because states and schools vary in their requirements and goals, the course 3 is flexible. It can be taught4 as a 3 credit course or as much as a 6 5 credit course if desired. Most schools use 46 credits. MLCS can be integrated into a developmental math program in several ways.
25.
Although MLCSis not identical tobeginningalgebra, it canreplace beginningalgebra in aprogram.
29.
Interested? We will help you develop the course on your terms, for your school and state.EMAIL: Workshops are also available to train faculty.KATHLEENALMY@GMAIL.COM Materials are currently available for class testing and use. Contact your Pearson rep for a sampler of the Math Lit book.
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This leading dictionary contains over 3,000 clear and concise entries updated in line with curriculum and degree requirements. It covers pure and applied mathematics and statistics, features entry-level web links, and includes detailed appendices. Authoritative and comprehensive, this A-Z is invaluable for students and teachers of mathematics.
This wide-ranging dictionary covers over 2,300 statistical terms in accessible, jargon-free language. All existing entries and web links have been revised and updated to ensure that the content is as relevant as possible. An indispensable reference work for any students or professionals who come into contact with statistics at work or university.
Written for those who need to know how statistics work, this work assumes no expert knowledge, and teaches through words and diagrams rather than through figures, formulae and equations. It includes questions in the argument; readers can answer them as they go, enabling them to measure their performance
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Start young children off with Common Core math using these innovative activities Teaching the Common Core Math Standards with Hands-On Activities, Grades K-2 provides teachers with the help they need to begin teaching to the new standards right away. The book outlines the Common Core math standards from kindergarten to second grade, providing one... more...
Designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, Numerical Linear Algebra with Applications contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering... more...
Between the pressure to meet standards and the overwhelming number of different learning needs of students, planning math lessons has become more complex. In this Judith Storeygard provides proven approaches to understanding the behaviors of children with special needs and effectively teaching all students. Using research-based and field-tested methodology,...The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among... more...
According to the Common Core State Standards, which have been adopted by 46 states, students must develop literacy skills not just in English/Language Arts but across all content areas. This means that educators must teach literacy—reading, writing, speaking, listening, and language—in subjects like Math, Science, Social Studies, and... more...
This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure. We employ a matrix-theoretic approach to the calculation of the number of spanning... more...
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Nicasio PrecalculusBecause of its reliance on detail, math cannot be mastered without dedicating repeated time to practice. It requires real understanding and good work over the entire school year. Math concepts build on each other so that future topics depend on understanding previous material
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More About
This Textbook
Overview
Mathematics is often regarded as the study of calculation, but in fact, mathematics is much more. It combines creativity and logic in order to arrive at abstract truths. This book is intended to illustrate how calculation, creativity, and logic can be combined to solve a range of problems in algebra. Originally conceived as a text for a course for future secondary-school mathematics teachers, this book has developed into one that could serve well in an undergraduate course in abstract algebra or a course designed as an introduction to higher mathematics. Not all topics in a traditional algebra course are covered. Rather, the author focuses on integers, polynomials, their ring structure, and fields, with the aim that students master a small number of serious mathematical ideas. The topics studied should be of interest to all mathematics students and are especially appropriate for future teachers.
One nonstandard feature of the book is the small number of theorems for which full proofs are given. Many proofs are left as exercises, and for almost every such exercise a detailed hint or outline of the proof is provided. These exercises form the heart of the text. Unwinding the meaning of the hint or outline can be a significant challenge, and the unwinding process serves as the catalyst for learning.
Ron Irving is the Divisional Dean of Natural Sciences at the University of Washington. Prior to assuming this position, he served as Chair of the Department of Mathematics. He has published research articles in several areas of algebra, including ring theory and the representation theory of Lie groups and Lie algebras. In 2001, he received the University of Washington's Distinguished Teaching Award for the course on which this book is based.
Editorial Reviews
From the Publisher
From the reviews:
"The book focuses mainly on the 'doing' of algebra. … The chief aim of the author is for students 'to master such skills as learning what a mathematical statement is, what a mathematical argument or proof is, how to present an argument orally … and how to converse effectively about mathematics.' … the author strives to motivate students, gradually developing their insights and abilities. … It is an excellent primer for beginners in the field of abstract algebra, especially for future school teachers." (P. Shiu, The Mathematical Gazette, Vol. 89 (516), 2005)
"This is an instructional exposition which treats some elementary number theory … . It is apparent that the author has made every effort to motivate students resp. to put them in the right way. 'I love algebra. I want my students to love algebra' – I believe that the author succeeded even in this regard." (G. Kowol, Monatshefte für Mathematik, Vol. 144 (2), 2005)
"This is a very elementary introduction to elementary number theory and some related topics in algebra … . The topics chosen are well suited for a student's first exposure to 'serious' mathematics (much more so, in the reviewer's opinion, than the calculus course that is the norm in almost all curricula almost everywhere)." (S. Frisch, Internationale Mathematische Nachrichten, Issue 196, 2004)
"The book … represents a very special introduction to modern algebra … . focuses less on contents and more on the 'doing' of algebra. … Many proofs are left as exercises, together with detailed hints or outlines, and these exercises actually form the heart of the entire text. … Summing up, this book is a great primer for beginners in the field … . could serve well in an undergraduate course for non-mathematicians, and as a guide to self-education beyond academic training, too." (Werner Kleinert, Zentralblatt MATH, Vol. 1046 (2), 2004)
"Originally conceived as a text for a course for future secondary-school mathematics teachers, this book has developed into one that could serve well in an undergraduate course in abstract algebra … . The topics studies should be of interest to all mathematics students and are especially appropriate for future teachers. … Many proofs are left as exercises, and for almost every such exercise, a detailed hint or outline of the proof is provided. These exercises form the heart of the text." (Zentralblatt für Didaktik der Mathematik, November, 2004)
"Mathematics is often regarded as the study of calculation … . It combines creativity and logic in order to arrive at abstract truths. This book is intended to illustrate how calculation, creativity, and logic can be combined to solve a range of problems in algebra. … Many proofs are left as exercises, and for almost every such exercise, a detailed hint or outline of the proof is provided. These exercises form the heart of the text." (L'Enseignement Mathematique, Vol. 50 (1-2), 2004)
"The book is meant to be a structurally different abstract algebra textbook. … the book is very unitary and it has a good flow. … Integers, Polynominals and Rings is a unique book, and should be extremely useful for an audience of future high school teachers. It would also be a valuable supplement for students taking a traditional abstract algebra course, especially since it is very readable." (Ioana Mihaila, MathDL, January
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Intermediate Algebra - 9th edition
Summary: The new edition of INTERMEDIATE ALGEBRA is an exciting and innovative revision that takes an already successful text and makes it more compelling for today's instructor and student. The new edition has been thoroughly updated with a new interior design and other pedagogical features that make the user both easier to read and easier to use. Known for its clear writing and an engaging, accessible approach that makes algebra relevant, INTERMEDIATE ALGEBRA helps users to develop problem-...show moresolving skills and strategies that they can use in their everyday lives. The new edition welcomes two new co-authors Rosemary Karr and Marilyn Massey who along with David Gustafson have developed a learning plan to help users succeed in Intermediate Algebra and transition to the next level in their coursework
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Mathematics is what defines life on earth, said physicist Albert Einstein.
Some of us probably haven't yet understood what life is, or for that matter what maths is.
But maths is relevant to you if you are a Class XII student preparing for your higher secondary board exams, which are just around the corner.
While the syllabus varies for different boards, like the CBSE, state boards etc, there are a few critical, common chapters that run across all syllabi.
Dinkar Bhat, who conducts private coaching for Class XII students in Pune, says, "Most students are afraid of maths because they don't understand it fully. Students come with many misconceptions. So, I start by first building their fundamentals."
For those who have conquered the fundamentals, all they need now is practice. For those, who haven't, the tips given below could benefit you:
Presuming most have tried going through the syllabus once, you need to identify the topic that you are worried about most. For example, if it is vectors, focus on it currently and master it. Do as many practice exercises as you can. Then move on to the next on your priority list.
If you have created a subject-wise timetable, see that you also create a chapter-wise timetable within each subject. So, for example, if you have allotted three days for mathematics, identify the number of hours you will spend on each chapter within mathematics. It is okay if one chapter takes longer -- readjust your timetable. Try to stick to your scheduled number of days.
Some chapters have greater relevance than others
The importance of the chapters is based on how relevant they are in your studies beyond Class XII. These include vectors, calculus, geometry, matrices, integration, derivatives, and probability.
Five-year plan
The board normally allots weightages for each chapter. There are some chapters that have been given lesser weightage than other chapters.
Check the examination papers of the last five years and identify these chapters.
Note: Understand that the board is likely to change this pattern, but the papers might give you an indicator.
Formulae are important
It would help if you first memorise the formula, next practice with an example, and then go back and write down the formula from memory.
Cram exercises and examples into this break
The day before your exams start all you need to do is list down all the formulas and important points from each chapter. There is no time to sit and practice then. Just go through solved equations and exercises.
Take adequate rest
Bhat says, "You cannot learn maths in one day. You can merely refresh what you already know. Therefore, do not try to memorise anything during that last day. Eat well, sleep well, and stay relaxed. Many of my students even watch a television show to release tension."
"I know many students who sit up all night trying to `solve' equations. They faint when they suddenly enter the closed classroom environment. They lose out on time and sharp reflexes if that happens, " he adds.
Get online
If you do not have immediate expert help on some difficult problem, you could go online and check with discussion boards and query forums. The answers may not be instantaneous but your doubts will be cleared (see links below).
During the exam
~ Many experts say that it is important to understand the question correctly. Read each question at least three times before you start attempting the answer.
~ Do all your calculations on a rough sheet.
~ Go through the paper and split the questions in three types: tough, not so tough, and easy. Start with the tough questions. And eventually move on to the easy questions.
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EXCEPTIONALLY CLEAR AND ACCESSIBLE, THIS BEST-SELLING INTRODUCTORY TEXT/WORKBOOK FOR ELEMENTARY ALGEBRA IS APPROPRIATE FOR LECTURE COURSES, LEARNING CENTERS, LABS AND SELF-PACED COURSES. WRITTEN IN A CLEAR AND CONCISE STYLE, THIS BOOK OFFERS ALL THE REVIEW, DRILL AND PRACTICE STUDENTS NEED TO DEVELOP PROFICIENCY IN ALGEBRA. IN A LECTURE-FORMAT CLASS, EACH SECTION OF THE BOOK CAN BE DISCUSSED IN A FORTY-FIVE- TO FIFTY-MINUTE CLASS SESSION. IN A SELF-PACED SITUATION, THE "PRACTICE PROBLEMS" IN THE MARGINS THE STUDENT TO BECOME ACTIVELY INVOLVED WITH THE MATERIAL BEFORE WORKING THE PROBLEMS IN THE "PROBLEM SET."
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Mathematics - Algebra (529 results)Florian Cajori's A History of Mathematics is a seminal work in American mathematics. The book is a summary of the study of mathematics from antiquity through World War I, exploring the evolution of advanced mathematics. As the first history of mathematics published in the United States, it has an important place in the libraries of scholars and universities. A History of Mathematics is a history of mathematics, mathematicians, equations and theories; it is not a textbook, and the early chapters do not demand a thorough understanding of mathematical concepts. The book starts with the use of mathematics in antiquity, including contributions by the Babylonians, Egyptians, Greeks and Romans. The sections on the Greek schools of thought are very readable for anyone who wants to know more about Greek arithmetic and geometry. Cajori explains the advances by Indians and Arabs during the Middle Ages, explaining how those regions were the custodians of mathematics while Europe was in the intellectual dark ages. Many interesting mathematicians and their discoveries and theories are discussed, with the text becoming more technical as it moves through Modern Europe, which encompasses discussion of the Renaissance, Descartes, Newton, Euler, LaGrange and Laplace. The final section of the book covers developments in the late 19th and early 20th Centuries. Cajori describes the state of synthetic geometry, analytic geometry, algebra, analytics and applied mathematics. Readers who are not mathematicians can learn much from this book, but the advanced chapters may be easier to understand if one has background in the subject matter. Readers will want to have A History of Mathematics on their bookshelvesThe present work contains a full and complete treatment of the topics usually included in an Elementary Algebra. The author has endeavored to prepare a course sufficiently advanced for the best High Schools and Academies, and at the same time adapted to the requirements of those who are preparing for admission to college.<br><br>Particular attention has been given to the selection of examples and problems, a sufficient number of which have been given to afford ample practice in the ordinary processes of Algebra, especially in such as are most likely to be met with in the higher branches of mathematics. Problems of a character too difficult for the average student have been purposely excluded, and great care has been taken to obtain accuracy in the answers.<br><br>The author acknowledges his obligations to the elementary text-books of Todhunter and Hamblin Smith, from which much material and many of the examples and problems have been derived. He also desires to express his thanks for the assistance which he has received from experienced teachers, in the way of suggestions of practical value.
Bertrand Russell was a British logician, nobleman, historian, social critic, philosopher, and mathematician. Known as one of the founders of analytic philosophy, Russell was considered the premier logician of the 20th century and widely admired and respected for his academic work. In his lifetime, Russell published dozens of books in wildly varying fields: philosophy, politics, logic, science, religion, and psychology, among which The Principles of Mathematics was one of the first published and remains one of the more widely known. Although remembered most prominently as a philosopher, he identified as a mathematician and a logician at heart, admitting in his own biography that his love of mathematics as a child kept him going through some of his darkest moments and gave him the will to live. With his book The Principles of Mathematics, Russell aims to instill the same deep seated passion for mathematics and logic that he has carefully cultivated in the reader. He adeptly explores mathematical problems in a logical context, and attempts to prove that the study of mathematics holds critical importance to philosophy and philosophers. Russell utilizes the text to explore the some of the most fundamental concepts of mathematics, and expounds on how these building blocks can easily be applied to philosophy. In the second part of the book, Bertrand addresses mathematicians directly, discussing arithmetic and geometry principles through the lens of logic, offering yet another unique and groundbreaking interpretation of a field long before considered static. This book affords new insight and application for many basic mathematical concepts, both in roots of and application to other fields of scholarly pursuit. Russell uses his book to establish a baseline of mathematical understanding and then expands upon that baseline to establish larger and more complex ideas about the world of mathematics and its connections to other fields of personal interest. The Principles of Mathematics is a very captivating glimpse into the logic and rational of one of history's greatest thinkers. Whether you're a mathematician at heart, a logician, or someone interested in the life and thoughts of Bertrand Russell, this book is for you. With an incredible amount of information on mathematics, philosophy, and logic, this text inspires the reader to learn more and discover the ways in which these very disparate fields can interconnect and create new possibilities at their intersectionsFrancis William Newman was an emeritus professor of University College in London and an honorary fellow of Worcester College, Oxford. Considered quite the renaissance man, Newman's interests ranged wildly, from writings on philosophy, English reforms, Arabic, diet, grammar, political economy, Austrian Politics, Roman History, and math. He wrote at length on every subject he found of interest, and this book, Mathematical Tracts is a testament to his very successful career as a mathematician and his eloquence as an impassioned author. At its core, this book explores many of the basics theorems and principles behind geometry, aimed at the budding mathematician to encourage interest and educate. A wonderful beginners guide, but also an interesting read for anyone wanting to refresh their foundational knowledge in geometry, this book is an easy to understand and approachable guide to mathematics. After establishing the basics, this book goes in-depth on many geometrical concepts such as the treatment of ration between quantities incommensurable and primary ideas of the sphere and circle. Newman's vast knowledge of mathematics is put to excellent use in this text, expounding on mathematical concepts and explaining them with such clarity that regardless of prior mathematical knowledge, the reader is guaranteed to understand the concepts. Newman highlights a variety of shapes such as pyramids and cones in their geometric context and explains their mathematical significance. He also expands the reader's understanding of parallel straight lines and the infinite area of a plane angle, and ends the book with a plethora of tables and helpful mathematical examples intended to further clarify the core concepts of the text. Truly a one of a kind, Mathematical Tracts is the perfect book for anyone interested in mathematics. Whether you're an early learner or a seasoned professional, you will find new information that is communicated in such a passionate and compelling way that it is impossible not to be enthused and excited about the topic. An incredibly approachable book laden with mathematical concepts that are made both interesting and exciting by the overwhelming passion of the author, this book is highly recommended for all readers.
eBook
Algebraic AnalysisSolutions and Exercises, Illustrating the Fundamental Theorems and the Most Important Processes of Pure Algebra
by G. A. WentworthVol. 1
Algebra, and to exhibit to them the highest and most important results of modern algebraic analysis. It may be used to follow and supplement the ordinary text-books, or it may be em loyed as a guide-book and work of reference, in a course of instruction under a teacher of mathematics. The following are some of the special features of this volume: It gives a large number of solutions in illustration of the best methods of algebraic resolution and reduction, some of which are not found in any text-book. It gives, classified under proper heads and preceded by typesolutions, a great number of exercises, many of them illustrating methods and principles which are generally ignored in elementary Algebras; and it presents these solutions and exercises in such a way that the student not only sees how algebraic transformations are efected, but also perceives how to form for himself as many additional examples as he may desire.
Sciences; Library Gv Ac Preface The main difference between this text and others on the same subject, published in the English language, consists in the selection of the material. In proceeding from the elementary to the more advanced properties of equations, the subject of invariants and covariants is here omitted, to make room for a discussion of the elements of substitutions and substitution-groups, of domains of rationality, and of their application to equations. Thereby the reader acquires some familiarity with the fundamental results 011 the theory of equations, reached by Gauss, Abel, Galois, and Kronecker. The Galois theory of equations is usually found by the beginner to be quite difficult of comprehension. In the present text the effort is made to render the subject more concrete by the insertion of numerous exercises. If, in the work of the class room, this text be found to possess any superiority, it will be due largely to these exercises. Most of them are my own; some are taken from the treatises named below. In the mode of presentation I can claim no originality. The following texts have been used in the preparation of this book: Bachmann, P.Kreistheiluny. Leipzig, 1872. Bornside, W.Theory of Groups. Cambridge, 1897. Burnside, W.S., and Panton, A. W.Theory of Equations, Vol. I, 1899 ; Vol. Ii, 1901. Dicksox, L.E. Theory of Algebraic Equations. New York, 1903. Easton, B.S. The Constructive Development of Group-Theory. Philadelphia, 1902. Encyklopadie der Mathematischen Wissenschaften.
The first chapter of this book prepares the way for quite a full treatment of simple integral equations with one unknown number. In the first two chapters only positive numbers are involyed and the beginner is led to see the practical advantages of Algebra before he encounters the difficulties of negative numbers. The definitions and explanations contained in these chapters should be carefully read at first; after the learner has become familiar with algebraic operations, special attention should be given to the principal definitions. The third chapter contains a simple explanation of negative numbers. The recognition of the fact that the real nature of subtraction is counting backwards, and that the real nature of multiplication is forming the product from the multiplicand precisely as the multiplier is formed from unity, makes an easy road to the laws of addition and subtraction of algebraic numbers, and to the law of signs in multiplication and division. All the principles and rules of this chapter are illustrated and enforced by numerous examples involving simple algebraic expressions only. The ordinary processes with compound expressions, including cases of resolution into factors, and the treatment of fractions, naturally follow the third chapter. The immediate succession of topics that require similar work is of the highest importance to the beginner, and it is hoped that the chapters on compound expressions will prove interesting, and give sufficient readiness in the use of symbols.
This text is prepared to meet the needs of the student who will continue his mathematics as far as the calculus, and is written in the spirit of applied mathematics. This does not imply that algebra for the engineer is a different subject from algebra for the college man or for the secondary student who is prepared to take such a course. In fact, the topics which the engineer must emphasize, such as numerical computations, checks, graphical methods, use of tables, and the solution of specific problems, are among the most vital features of the subject for any student. But important as these topics are, they do not comprise the substance of algebra, which enables it to serve as part of the foundation for future work. Rather they furnish an atmosphere in which that foundation may be well and intelligently laid.<br><br>The concise review contained in the first chapter covers the topics which have direct bearing on the work which follows. No attempt is made to repeat all of the definitions of elementary algebra. It is assumed that the student retains a certain residue from his earlier study of the subject.<br><br>The quadratic equation is treated with unusual care and thoroughness. This is done not only for the purpose of review, but because a mastery of the theory of this equation is absolutely necessary for effective work in analytic geometry and calculus. Furthermore, a student who is well grounded in this particular is in a position to appreciate the methods and results of the theory of the general equation with a minimum of effort.<br><br>The theory of equations forms the keystone of most courses in higher algebra. The chapter on this subject is developed gradually, and yet with pointed directness, in the hope that the processes which students often perform in a perfunctory manner will take on additional life and interest.
Written by G. Chrystal Introduction to Algebra: For the Use of Secondary Schools and Technical Colleges is the third edition of a textbook that is intended to be an elementary introduction to algebra for students. Chrystal's textbook is structured as most textbooks are with each chapter dedicated to a different topic. Topics include generalized arithmetic, fundamental laws of algebra, graphical representations of functions of a single variable, elementary theory of integral functions, irrational functions, ratio and proportion, and many more. The author does a good job of covering all of the basics of algebra and each topic is presented alongside a series of study questions to be completed by students, with correct answers appearing at the back of the book. The book progresses logically through the mathematical principles, with the basic and foundational theories presented first and the more advanced principles appearing near the end of the book. This is a valuable resource for the mathematics learner. Either be it for home study, or in a classroom Introduction to Algebra is an interesting and useful guide.
The clearer view of the science thus afforded the teacher, the inspiration to improve his methods of presenting it, the increased interest in the class-work, the tendency of the subject to combat stagnation of curricula, these are a few of the reasons for approving the present renaissance of the study. This phase of scientific history which Montucla brought into such repute it must be confessed rather by his literary style than by his exactness and which writers like De Morgan in England, Chasles in France, Quetelet in Belgium, Hankel and Baltzer in Germany, and Boncompagni in Italy encouraged as the century wore on, is seeing a great revival in our day. This new movement is headed by such scholars as GUnther, EnestrOm, Loria, Paul Tannery, and 2 uthen, but especially by Moritz Cantor, whose Vorlesungen Hber GeschUhte der Mathematik must long remain the worlds standard. In any movement of this kind compendia are always necessary for those who lack either the time or the linguistic power to read the leading treatises. Several such works have recently appeared in various languages. But the most systematic attempt in this direction is the work here translated. The writers of most hand books of this kind feel called upon to collect a store of anecdotes, to incorporate tales of no historic value, and to minimize the real history of the science. Fink, on the other hand, omits biography entirely, referring the reader to a brief table in the appendix or to the encyclopediasIn preparing this work the author has been prompted by many reasons, the most unportant of which are: The dearth of short but complete books covering the fundamentals of mathematics. The tendency of those elementary books which begin at the beginning to treat the subject in a popular rather than in a scientific manner. Those who have had experience in lecturing to large bodies of men in night classes know that they are composed partly of practical engineers who have had considerable experience in the operation of machinery, but no scientific training whatsoever; partly of men who have devoted some time to study through correspondence schools and similar methods of instruction; partly of men who have had a good education in some non-technical field of work but, feeling a distinct calling to the engineering profession, have sought special training from night lecture courses; partly of commercial engineering salesmen, whose preparation has been non-technical and who realize in this fact a serious handicap whenever an important sale is to be negotiated and they are brought into competition with the skill of trained engineers; and finally, of young men leaving high schools and academies anxious to become engineers but who are unable to attend college for that purpose. Therefore it is apparent that with this wide.
This paper considers two aspects of the word problem for groups: first, some similarities between derivations from the relations of a group and proofs from a set of axioms in logic, and second, the computational difficulty of word problems and the problem of constructing groups with solvable word problems of some preassigned degree of difficulty. Given a presentation of a group in terms of generators and relations, we define two words on the generators to be equal if and only if one can be transformed into the other in a finite number of steps using the relations of the group. Defining equality in a group as derivability from a set of axioms suggests formulating the word problem for a group as the derivability problem for a formal system. The system we choose is equational logic. We show that there exist some striking analogies between results from logic and results about groups: nontrivial groups correspond to consistent systems, groups with solvable word problem to decidable systems, and simple groups to complete systems. This suggests that results about formal systems could be used to obtain results about decidability in groups. A group has word problem in level of the Grzegorczyk hierarchy if the running time of the algorithm solving the word problem is in. Groups having word problem solvable in levels s(n 2)of the Grzegorczyk hierarchy are given. The groups are constructed using a standard procedure of constructing a group given the presentation of a semigroup. Semigroups are constructed following J.Robinson smethod of functional equations: the semigroups are decidable systems of functional equations which define functions in. This technique for constructing semigroups is particularly elegant, for it has the advantage of exhibiting the semigroup as a concrete system. We show that if the semigroup has word problem ins (and not lower), then the resulting group has word problem in fi (and not lower). Hence there exist groups with arbitrarily difficult, but solvable word problem.s.
TheApril 5. 1919 Thit if one of an edition privately printed by the Rosemary Pm for the member of the Omar Khayyam Club of America. Limited to 200 copies, on American deckel-edged linen paper, bound with vellum back and antique paper ode. Copies numbered 1 to 100 reserved to Professor Story.100 copies numbered 1 Rto lOORreterved for the Rosemary Frew. This i No.
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Bob Miller's Algebra for the Clueless - 2nd edition
Summary: A is for Algebra-and that's the grade you'll pull when you use Bob Miller's simple guide to the math course every college-bound kid must take
With eight books and more than 30 years of hard-core classroom experience, Bob Miller is the frustrated student's best friend. He breaks down the complexities of every problem into easy-to-understand pieces that any math-phobe can understand-and this fully updated second edition of Bob Miller's Algebra for the Clueless c...show moreovers everything a you need to know to excel in Algebra I and II Paperback Good Ex-library General Used Condiiton. Minor Defects may Exist. Minimal Shelf wear. Text may contain minor marking or highlighting, Binding Tight. Previous owners name or bookplate...show more may be present. Like New, May have remainder mark (black line generally made acrossed bottom page edge to indicate close out by publisher)21
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The early realisation of the attractiveness of mathematics-in-industry
to both undergraduate and graduates has made Modelling Weeks one of the
most popular MI events organised by academics; in this context "modelling"
mainly means the formulation of industrial problems in mathematical terms,
but emphasis is also laid on mathematical and numerical analysis and on
validation. For many students, participation in a Modelling Week is their
first experience of seeing mathematics being put to practical use.
The typical format is for about 5 students per mentor to work in teams
on carefully prepared problems presented by the mentors on the first day
and to report back on the last day.
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The topics in the Business
Calculus Video are taught by solving
numerous problems in easy to follow steps. Topics covered include introduction
to limits, techniques for evaluating limits, 1st derivative rules, continuity, optimization problems, business and economics application,
marginal analysis, curve sketching, exponential decay and growth, calculating area using limits
and more. I make this course exciting and encourage students to think. This
video is a great complement to your lectures, no matter what textbook your
instructor is using.
You have 3 options in purchasing your video
1. Purchase a
link to instantly view the video on our website or download it to your
computer.
2.
Purchase a CD to play on your computer
3.
Purchase a DVD set to play on your TV or on your computer's DVD player
MAC
users require the DVD version only!
You can choose any topic to watch
on the video and then you can fast forward, rewind or pause. You can play the
CDs on any computer and the DVDs on any DVD player.
WHEN
CHECKING OUT AT PAYPAL, IN THE
COMMENT SECTION, TYPE IN OPTION 1, 2 OR 3 (THE DEFAULT OPTION IS
"1" THE WEBSITE LINK)
4 Derivation of the Definition of The Derivative
and Alternate Derivative
5 Using Derivative & Alternate Derivative
Formula
6 1st Derivative Rules
7 Product and Quotient Rules
8 General Power Rule and Chain Rule
9 Implicit Differentiation
10 Related Rates
11 More Related Rates
12 Extrema on an Interval
13 1st and 2nd Derivative Test & POI
14 Optimization Problems
15 Business and Economics Applications
16 Limits at Infinity
17 Curve Sketching Polynomials
18 Curve Sketching Non -Polynomials
19 Marginal Analysis
20 Exponential Functions
21 Differentiation & Integration of Exponential
Functions
22 Logarithmic Functions
23 Laws of Logarithms
24 Differentiation of Logarithmic Functions
25 Integration of Logarithmic Functions
26 Exponential Decay and Growth
27 Antiderivatives and Indefinite Integrals
28 Rules of Integration
29 Area of a Region Between Two Curves
30 Calculating Area Using Limits
31 The Disc Method
32 Shell Method
33 Volume of Solids With Known Cross Sectional
Area
34 Trigonometric Substitution
35 Integration By Parts
36 Finding Present Value
37 Partial Fractions
38 Trapezoidal Rule
39 Simpson Rule, n = even
40 Surfaces in Space
41 Intro to Functions of Several Variables
42 Partial Derivatives
43 Extrema of Functions of Two Variables
44 Lagrange Multipliers
45 Iterated Integrals and Area in the Plane
46 Double Integrals and Volume
LINKS
Math
Videos and Online Tutoring - Instructional videos and tutoring
for all levels through graduate school. All tutoring by college math professor.
After a tutoring session you receive a recording of the entire tutoring session
which you can view whenever you as often as you like.
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013319831633198316 explores the essential theories and techniques of modern algebra, including its problem-solving skills, basic proof techniques, many applications, and the interplay between algebra and geometry. It takes a concrete, example-oriented approach to the subject matter.
Editorial Reviews
Booknews
A textbook that presents the basic ideas of modern algebra, its problem-solving skills and basic proof techniques, and some of its elegant applications. The link with geometry comes from understanding a geometry by means of its group of motions. There are over 225 substantial examples and some 750 exercises. These include computations, proofs varying from the routine to the challenging, and open-ended problems. Assumes some experience with linear algebra (with exposure to matrix algebra and naive vector space theory) and the language of proofs
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Ridgefield, NJRight triangles are explored through a study of the Pythagorean Theorem as it relates to square roots, irrational numbers and special right triangles. An overview of data analysis and probability teaches students how to represent data and determine probabilities. The course concludes with a study of nonlinear functions and polynomials
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Using CAS Features Like a Champion, TI-Nspire(TM) Tutorials: Getting Started With the TI-Nspire Graphing Calculator Volume 2 [NOOK Book]NOOK for PC
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Meet the Author
Lucas Allen has been interested in math and technology for as long as he can remember. He has taught math at the high school level since 2001, first at Danville High School and later at Morton High School, including every class from Pre-Algebra through AP Calculus.
Allen has also coached academic teams at Morton, including the math team, WYSE team (Worldwide Youth in Science and Engineering), and chess team. In recent years, his math teams have been particularly successful, putting together a run of four straight top 3 state finishes, highlighted by the 2012 Illinois State Championship.
In the summer of 2010, Allen launched Tech Powered Math, a site designed to assist teachers, students, and parents with information about math education technologies. The site rapidly grew in popularity, and by early 2011, Tech Powered Math was cited as a source by both Engadget and CNET for Allen's story on the release of the TI-Nspire CX, Texas Instruments' first color graphing calculator. His interest in graphing calculators led him to author his first book, TI-Nspire (TM) Tutorials, How to Dominate Math With the TI-Nspire Graphing Calculator. Vol 1, The TI-Nspire for Beginners.
Allen's interests include a variety of technologies. He is the rare mobile electronics aficionado who enjoys both Android and iOS and is the proud owner of both a Samsung Galaxy S2 and an iPad 2.
He is also interested in the technologies of internet marketing, such as social media, email marketing, and search engine optimization. In his evening hours, he has worked as a one man internet marketing firm for small businesses in Central Illinois.
Allen resides in East Peoria, IL with his wife Kathleen and daughter Rachel 22, 2013
the book is around 50 pages and 30 of them don't have anything t
the book is around 50 pages and 30 of them don't have anything to do with using the calculator.
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Anonymous
Posted March 14, 2013
This book is very basic, there is much more useful information i
This book is very basic, there is much more useful information in the IT web site!
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Anonymous
Posted September 30, 2012
great resource...
Quick read, easy to follow and understand. Great intro to nspire and CAS tools. Not designed to be an in-depth resource guide. I bought it to get me going with my new nspire cx cas, after upgrading from my last generation ti graphing calculator. The nspire and CAS were a sharp departure from the ti83 and ti86 I used, and I needed guidance in getting my head around and re-thinking my approach to using a graphing calculator to assist me in my work. I had played with my new nspire for a few days, but wasn't feeling comfortable enough with it to use it with my work. The author, without getting too verbose, articulated just what I needed to get around my difficulty in making the jump. He's a math teacher whose approach clearly showed he has experience in showing people how to effectively adjust from older tools to this new technology. He also seemed very passionate about his audience. He even launched his first volume in this series for free on another Site, just because they allowed him to do so for free for the first 90 days...
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West Warwick Cal Algebra II extends what is covered in Algebra I, and typically includes more quadratic equations, and introduction to advanced factoring, and more simultaneous equations. It's fun too!
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You are here
An Invitation to Abstract Mathematics
Publisher:
Springer
Number of Pages:
406
Price:
59.95
ISBN:
9781461466352
There are dozens of textbooks designed to help mathematics majors "transition" to higher-level mathematics and mathematical thinking, but Bajnok's new book truly invites students to enjoy the beauty, power, and challenge of abstract mathematics.
The book can be used as a text for traditional transition or structure courses — indeed, this is the most likely market for it — but since Bajnok invites all students, not just mathematics majors, to enjoy the subject, he assumes very little background knowledge.
In the Introduction to Abstract Mathematics course that Bajnok teaches at Gettysburg College, students come with a wide variety of backgrounds. Some are math enthusiasts who may not have taken a calculus course and may never do so, while others may have taken a couple of years of college-level mathematics. To put them all on the same playing field, the book and the course begin with a set of games that are easy to play and understand, yet allow the author to eventually explore fundamental notions in mathematics such as precise language, truth, proof and conjecture, abstract structures, and more.
What is in the book?
The book is divided into three parts. Part I (What's Mathematics?) starts a "friendship with abstract mathematics" by introducing readers to a variety of games that will be used to illustrate multiple concepts and methodologies throughout the book. Bajnok begins with a Hackenbush game that he calls Aerion. It is easy to play and therefore easily understood by anyone with an affinity for logic, but has enough complexity that it can be called upon over and over again to provide a setting for understanding the need for clear definitions and statements and for developing the idea of truth in mathematics. These notions together with some classic theorems (e.g., \(\sqrt{2}\) is irrational) and famous recent theorems (e.g., the four color theorem) round out the first part.
Part II (Howto Solve It?) is where one finds the more traditional transition topics. Anyone with knowledge of this genre of books will recognize the usual chapters on logic, sets, quantifiers, and methods of proof including induction, existential and universal proofs.
Bajnok's book is different from the rest in a couple of ways. First, his selection of examples and problems covers the usual (e.g., some famous sums in the induction chapter) as well as the unusual. For example, a problem on "perfect square dissection" that is more visual in nature than standard summation problems or Pascal's Triangle identities is in the induction section; furthermore, as with many exercises, Bajnok uses the opportunity to give readers some history of the problem and its solution.
Second, Bajnok uses logic and set theory as motivation for studying what turns out to be group, ring, field, and Boolean algebra structures. In the set theory chapter (Setting Examples) he asks one to notice the similarity between the algebra of statements and the algebra of sets. For example, one can see the similarity between the logical tautology \[ (P \vee \neg Q \vee R) \wedge (\neg (P\vee R)) \Leftrightarrow \neg P \wedge \neg Q \wedge \neg R\] and the set identity \[ (A \cup \overline{B} \cup C) \cap \overline {(A\cap C)} = \overline{A} \cap \overline{B} \cap \overline{C}.\]
Abstracting properties of statements and sets, one arrives at the usual axioms needed to build a variety of algebraic structures. This is a dense section of the book, but the formal axiomatic proofs will benefit students who intend to continue their study of mathematics in courses such as abstract algebra and real analysis.
Bajnok covers the usual introductory group, ring and field examples — the integers, various number fields, the symmetric group — and some innovative ones. In keeping with his invitation to a wide variety of readers to enjoy abstract mathematics, Bajnok uses games to illustrate algebraic properties. For example, associated to the game of Nim are Nim addition and Nim multiplication. Justification for the definitions lies in the fact that a winning strategy is associated to a Nim sum being zero. Other games utilizing Nim addition and multiplication are Acrostic Twins and Turning Corners. A winning strategy for Turning Corners is associated to a Nim product being zero. The fascinating punchline is that Nim addition and multiplication on the set {0, 1, 2, 3} define a field of order 4. The existence of such a field often requires a lot of build-up about polynomial quotient rings in a course and textbook dedicated to abstract algebra topics, but Bajnok does it quite naturally by playing games.
Part III (Advanced Math for Beginners) has chapters on relations, functions, limits, counting, number systems, and more combinatorial game theory. Again, Bajnok covers some topics that are found in many transition texts that will help students prepare for full courses in real analysis and abstract algebra, as well as unusual topics. Chapter 23 builds up number systems axiomatically, beginning with using set theory to build the natural numbers. The chapter is highly abstract, but shows the power of the theory Bajnok so carefully developed in the previous chapters. In Games are Valuable, Bajnok returns to the combinatorial game theory topics that began the book, but with more rigor and attention to detail.
If a reader has made it this far, he or she will have a substantial grounding in the essence of mathematical theory and will have been exposed to both fundamental mathematical notions and modern day topics.
Who is the book for?
Bajnok's book can most certainly be used as a text for a traditional transition course designed for mathematics majors. He wrote the book with a broader audience in mind, and personally uses it at Gettysburg College for anyone interested in deepening his or her mathematical knowledge, regardless of major.
Bajnok notes that his Hungarian roots are revealed by the book's focus on problem-solving. Indeed, it would be difficult to deliver a 50-minute lecture from a chapter of the book, but it is designed perfectly for anyone who runs an active-learning classroom. The chapters in Part I can be read by a student on his or her own, so that class time can be used for solving problems and presenting their solutions. Part II might take a little more intervention on the professor's part, presenting some of the more difficult topics in class before settling down to problem-solving. Bajnok, by the way, has his students read a section and prepare solutions to assigned problems outside of class. In "exploratorium" sessions, also outside of class, students work on problems under the supervision of a teaching assistant so that class time is spent almost entirely on presentations of problems. This seems like a ``Hungarian modified Moore method" that works incredibly well for Bajnok, and could be used by others who are comfortable with this kind of "flipped" classroom.
While many of Bajnok's topics are familiar to those who know the transition genre, this is not a run-of-the-mill textbook that you can get away with reading just a few hours before walking into your classroom. One would want to take some time getting to know the content and especially the exercises before using the book. As Bajnok writes in his Preface to Instructors, "the lectures and the problems build on one another; the concepts of the lectures are often introduced by problems in previous chapters or are extended and discussed again in problems in subsequent chapters."
I have never used the book myself, but can imagine that most of the first two parts along with a favorite section or two from Part III would make a nice introduction to abstract mathematics.
Price and other matters
Springer lists the price of Bajnok's book in hardcover at $59.95, though it is easy to find it for under $50. This is quite affordable for something with such incredible depth and breadth of content. Furthermore, it is a Springer e-book so a digital version is quite a bit cheaper, or even free if one's college or university library offers free access to SpringerLink to their students and faculty.
As Bajnok notes "there are very few routine problems; most problems will require relatively extensive arguments, creative approaches, or both." For this reason, it is especially good news that an instructor's guide with problem solutions and further discussions is available from the publisher.
Jill Dietz is Professor of Mathematics and chair of the Department of Mathematics, Statistics, and Computer Science at St. Olaf College in Northfield, Minnesota.
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Mettawa, IL PhysicsDiscrete math is defined less by what topics are included than by what is excluded. Excluded are notions of continuity upon which calculus is built. Consequently, discrete math is described as "non-calculus" math
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A companion to the successful Sports Rules in Pictures books, here's the latest addition to the series. Now the techniques and strategies of baseball play are clearly illustrated and explained in this information-packed book for players of all ages. Covers base-stealing tactics, throwing accuracy drills, batting tips and techniques, and more. 100 line drawings.
More editions of Baseball Techniques in Pictures (Sports Techniques in Pictures):
Cambridge General Mathematics Year 11 is written by experienced teachers to address the new syllabus for this new course. Along with a focus on mathematical fundamentals, the authors have treated the course strands according to their relative emphasis in the syllabus and integrated the use of technology into each topic. Each chapter features an outline of the topics to be covered, appropriate and clearly written explanations of the coursework as well as detailed examples followed by carefully graded exercises at three levels. A summary completes each chapter. Investigations appropriate to the topic area are interspersed throughout. Cyclic revision exercises linked to the topics are featured after every three chapters.
More editions of Cambridge General Mathematics Year 11 (Cambridge Secondary Maths (Australia)):
Cambridge General Mathematics Year 12 completes a series of books written by experienced teachers to guide students and teachers through the new NSW mathematics curriculum. The material presented is suited to the full range of student abilities encountered in General Mathematics. The course strands are treated according to their relative emphasis in the NSW syllabus and include: financial mathematics; data analysis; measurement; probability; and algebraic modelling. Each chapter commences with an outline of the material to be covered together with modelling applications and suggested technology use. A summary for learning and understanding, together with revision exercises, complete each chapter. Investigations appropriate to each topic area are interspersed throughout each chapter along with graphics calculator and computer spreadsheet applications of the coursework.
More editions of Cambridge General Mathematics Year 12 (Cambridge Secondary Maths (Australia)):
Creative Postproduction explains the creative aspects of film and video postproduction so as to enhance the understanding and appreciation of film and television. This book provides essential insight into the postproduction process for general film students; those headed for careers as directors, cinematographers, producers, or writers; and those who want to pursue a career in the area of postproduction itself.
More editions of Creative Postproduction: Editing, Sound, Visual Effects, and Music for Film and Video:
An up to date and comprehensive overview of the developing nervous system, with particular emphasis on the vertebrate brain. The past two decades have witnessed dramatic advances in our understanding of neural development in both invertebrates and vertebrates, Recent advances in the molecular genetic basis of development mechanisms are integrated with a synthesis of the classical literature to provide coverage of the key events, from the first appearance of the nervous system in the early embryo through postnatal and later stages. The book is intended for final year undergraduates, graduate students and post docs doing courses in developmental neurobiology. The extensive reference list will also make it a useful source book for teachers and researchers in the field.
COURTESY OF LowCountryBookstore: A readable and entertaining guide to the gastronomic riches of South West France: the famous wines and anisette liqueur of Bordelais: truffles and pate de fois gras from Perigord and Quercy: Roquefort cheese, matured in the caves of Combalou: the brandy of Armagnac: Bayonne chocolate, produced there since the seventeenth century: sauce béarnaise and pule-au-pot from Bearn: the rich and filling cassoulet of Languedoc - to name but a few. (From front flap of dust jacket.)
More editions of Food and Wine of France: Bordeaux to the Pays Basque:
The techniques and strategies of one of America's most popular games are clealry illustrated and explained in this information-packed new book for players of all ages. Brown teaches both fundamental and advanced skills for passing, blocking, and tackling; running plays and drills; and strength and endurance training exercises. Over 100 line drawings.
Introducing a new companion series to the highly successful Sports Rules in Pictures. Featuring scores of illustrations and easy-to-follow text, this book is chock-full of both fundamental and advanced techniques. Learn how to choose the correct iron and the proper grip, assume the correct stance when addressing the ball, avoid sand traps, and much more. Over 100 line drawings.
In the near future, when danger is in the mind and violence lurks behind every smile, a rural community foster a terrorist group called The Little Red Hen to defend themselves against the right-wing state. At the centre of the confrontation is the beautiful Rosa with the mentality of a child. The author has written "The Weaver's Apprentice" and "The Weaver and the Abbey".
Designed for students with little or no musical background, An Introduction to the History and Literature of Music in Western Culture is an interdisciplinary text that can stand alone in a music appreciation class or serve as an excellent supplement to a survey of Western history or literature.
The driving philosophy behind this text is music education, not musicology. Author Michael Brown has taught this material for 25 years in both high school and college, giving him a feel for the impractical and overburdened quality of many music appreciation textbooks. Because most students come to school with only a very limited knowledge of music, the overriding goal of An Introduction to the History and Literature of Music in Western Culture is simply to introduce students to the aesthetic appreciation of music and to give music a place in their view of the world.
The text covers major composers and forms in chronological order, though without attempting to present a comprehensive history of music. Instead, the emphasis is on a broad view of the aesthetics of music as it has developed over the course of Western civilization. Similarly, it has no sample music manuscripts, but a pair of compact discs complements the text by offering selections to go with the Music Analysis sections of each chapter. Furthermore, the culture and style of each period is communicated more fully through dozens of works of art, from antiquity to the modern era, reproduced throughout the book.
More editions of An Introduction to the History and Literature of Music in Western Culture:
Lessons In Terror is a fictional story of an agent's whose family is killed in a terrorist attack. The story parallels the agent's investigation of the terrorist attack and subsequent attacks with the planning of the attacks by terrorists. The terrorists are given personalities, rather than remaining as faceless enemies. As the agent progresses in his investigation, there is the growing sense that Americans may have aided the terrorists.
This book is designed to help the general reader understand the economic reasons behind current social and political problems such as mass unemployment, cuts in living standards and the world-wide economic crisis. The fundamental differences, within the capitalist system, between the Keynesian, market and Marxist models are outlined, as are the alternatives presented by the feminist and green movements. Following this, several socialist economies - Soviet, Chinese, Yugoslav and African - are considered in detail and compared with Marx's original concepts. In the last section the author attempts to build models for understanding the future, with the current developments in capitalism, including the arms economy, and the possible transition of capitalism to socialism.
More editions of Models in Political Economy: A Guide to the Arguments; Second Edition (Penguin economics):
The Story of the Nevada Central Railroadfrom Battle Mountain to Austin, Nevada. Austin Nevada was a booming silver mining camp in central Nevada. The railroad was built n 1880 and abandoned in 1938. The Book shows the railroad as it was with many pictures and maps, 80pages.
Now every party, family outing, and friendly get-together can be a great time with The Picture Rulebook of Kids' Games. With more than 200 classic and new games-fully illustrated and in alphabetical order for easy referencechildren and adults alike can find ideas for play, check the rules, and determine the equipment needed. Games with balls, water games, team games--The Picture Rulebook has them all, including:
Alphabet Objects
Brooklyn Bridge
Caterpillar
Drop the Hankie
Egg Polo
Frisbee Golf
German
Homonym Detective
I Doubt It
Jambalaya Relay
Killer Whale
Lean-Two
Minicroquet
Mulberry Bush
Octopus
Pig in the Pen
Rattlesnake
Run for Your Supper
Seven Up
Teacher's Cat
Thumb Wrestling
Underwater Tag
Volcano
Watermelon Ball
What's Missing?
Zookeeper
From classics such as Hide-and-Seek and Four Square to the newer Frisbee Golf and Milk Caps; from games for two such as Scissors, Paper, Stone and Hangman to games for many, including Dodgeball, Volleyballoon, and Sardines, there are activities for any occasion and any group. Michael Brown is a fine artist, particularly known for his large outdoor murals, and the author of eight books of illustrated sports rules. Roxanne Henderson is a freelance editor and writer. They live in Chapel Hill, North Carolina, with their son, Graham.
More editions of Picture Rulebook of Kids' Games: Over 200 Favorites, from Alphabet Objects:
A Rapid Load Test (RLT), developed to determine the initial stiffness and bearing capacity, is an economical and practical alternative to a Static Load Test (SLT). The broad application of RLT, however, was hampered by uncertainty about the interpretation of the test results. This book offers clear guidance on the available analysis techniques and their reliability.
The guidelines were related to an international standard that is drawn up by CEN and can be used in two ways:
Straightforward interpretation of test results, chapters 1-3
Interpretation with additional background information about the possibilities and limitations, chapters 4-8
The guidelines were drawn up by the Dutch CUR-committee on rapid load testing on piles.
Chapters 1 and 2 deal with the practical execution of the test and the presentation of the results. Chapter 3 gives a general overview of existing interpretation methods and refers to step-by-step descriptions of the two advised interpretation methods.
The aspects that are important for the interpretation are discussed in chapter 4, also showing that the inertia of the pile should be taken into account. In clay soil the rate effect (the dependency of strength and stiffness on loading rate) is also of importance, whereas in sand and silt the generation of pore water pressures during an RLT plays a role. The velocity of the RLT is such that the reaction of sand and silt might be considered as partially drained. These guidelines indicate how these effects can be compensated to obtain the static resistance in the final results.
Chapter 5 presents two interpretation methods (a method for piles in sand, gravel, silt and piles on rock and a method for piles in clay). For practical use, the methods are described in a step-by-step scheme in an appendix.
More editions of Rapid Load Testing on Piles: Interpretation Guidelines:
Soccer is one of the most popular titles in Perigee's Sports Rules in Pictures series. Now the techniques of good soccer play are clearly illustrated in book form for players of all ages. Teaches both fundamental and advanced skills in a complete and easy-to-use format. 100 line drawings.
The author explores the legend of Gascony, which was founded in the tenth century A.D. and stretches from the left bank of the Garonne west to the Atlantic and southwards from Bordeaux to the Pyrenees. The book discusses its history, customs, architecture and cuisine. The most recent book written by Michael Brown is "Food and wine of South West France".
Robert McKay, Presbyterian minister a commanding and charismatic preacher. He dominates the remote fishing village of Waiata, building the fear of God and a chilling awareness of sin. Luke Forrester, fisherman's son born with a supernatural gift. Through him, a powerful spirit works its influence through dramatic acts of healing. Jennifer Pringle, doctor's daughter shamed by scandal. She is desperate to escape the village, but increasingly drawn by her heart into the centre of the turmoil. The two men struggle for the souls of the village, in a battle between good and evil. Shaken out of their ordinary lives, the villagers become embroiled in a conflict which can only lead to violence and death. The extraordinary tale of The Weaver's Apprentice probes the mysteries of human existence.
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Learning Objectives
exhibit familiarity with the conceptual structure and methodologies of mathematical knowledge.
use appropriate technology to do mathematical tasks.
appreciate the relevance of mathematics for other disciplines and daily life.
recognize that mathematics is not static but a growing body of knowledge driven by cultural influences and worldviews.
articulate a Christian philosophical perspective of mathematics.
Vision
Dordt's mathematics department seeks to promote mathematics and its connections to other disciplines by maintaining high quality instruction with personalized attention to students, teaching mathematics from a Christian perspective in the context of educating the whole person.
To this end we aim to
Help students grow in their articulation of a Christian perspective on mathematics.
Create an environment where professors and students can interact in ways that promote high quality learning and community.
Expand, both on and off campus, others' views of what mathematics is, how it relates to other fields, and how it should be used.
Increase the number of Dordt students taking mathematics courses and using mathematics in their discipline.
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MERLOT Search - materialType=Online%20Course&createdSince=2012-09-09&sort.property=dateCreated
A search of MERLOT materialsCopyright 1997-2014 MERLOT. All rights reserved.Sat, 25 Oct 2014 16:34:38 PDTSat, 25 Oct 2014 16:34:38 PDTMERLOT Search - materialType=Online%20Course&createdSince=2012-09-09&sort.property=dateCreated
4434Topology
Topology is generally considered to be one of the three linchpins of modern abstract mathematics (along with analysis and algebra). Recently, topology has an important components of applied mathematics, with many mathematicians and scientists employing concepts of topology to model and understand real-world structures and phenomena. Topology is the study of shapes:Including their properties, Deformations applied to them, Mappings between them and Configurations composed of them. Here we can learn this course with the help of provided study materialBeginning Algebra Module 2: Linear Equations I
This module (eCouse) is designed to standalone as an instructional tool to cover the topic of Linear Equations from point and slope equations. Learners would benefit by reviewing modules in sequence for the course Beginning Algebra.Beginning Algebra Module 3: Linear Equations II
This module (eCouse) is designed to stand alone as an instructional tool to cover the topic of Linear Equations II from point and slope equations. Learners would benefit by reviewing modules in sequence for the course Beginning Algebra.Beginning Algebra Module 5: Variable Expression IBeginning Algebra Module 6: Variable Expression II
This module (eCourse) is designed to stand alone as an instructional tool to cover the topic of Variable Expressions. Learners would benefit by reviewing modules in sequence for the course Beginning Algebra.Beginning Algebra Module 7: Factoring
This module (eCourse) is designed to stand alone as an instructional tool to cover the topic of factoring polynomials. Learners would benefit by reviewing modules in sequence for the course Beginning Algebra.Beginning Algebra Module 8: Graphing Polynomial Equations
This module (eCourse) is designed to stand alone as an instructional tool to cover the topic of Graphing Polynomial Equations. Learners would benefit by reviewing modules in sequence for the course Beginning Algebra.Beginning Algebra Module 1: First Degree Equations and Inequalities with One Variable
This eCourse (module) is designed to stand alone as an instructional tool to cover the topic of First-Degree Equations and Inequalities in Beginning Algebra. Learners would benefit by reviewing modules in sequence.WEL100 Safety for Welders: Welding Safety Standards and Procedures
Covers the hazards of welding on health and safety, locating essential safety information from a code or other standard, and identifying and applying shop safety procedures.
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Jammu Kashmir BPEE CET Mathematics Syllabus 2014
Sets and their representation, finite and infinite sets, empty set subsets, subset of real numbers especially intervals, power set, universal set. Venn diagram, union and intersection of sets. Difference of sets, Compliment of a set. Ordered pairs, Cartesian product of sets, number of elements in the Cartesian product of two finite sets. Cartesian product of real with itself ( upto RxRxR ). Relation, Domain, co- domain and range of relation, types of relations, reflexive, symmetric, transitive and equivalence relations.
Function as special kind of relation from one set to another, domain, co-domain and range of a function. One to one, onto functions. Real valued functions of the real variable, constant identity, polynomial, rational modulus signum and greatest integer functions with their graph. Sum, difference, product and quotients of functions. Composite of functions, inverse of a function, binary operations.
Unit II : Complex Number; Linear Inequation; Linear Prog – Marks : 08
1) Complex Number : Conjugate of a complex number, modulus and amplitude ( argument ) of a complex number, Argand's plane and polar representation of complex numbers, algebraic properties of complex numbers. Fundamental theorem of algebra, solution of Quadratic equation in the complex number system. Square root of a complex number.
2) Linear Inequation : Algebraic solution of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities of two variables.
Positive and negative angles, measuring angles in radians and in degrees, Conversion from one measure to another. Definition of trigonometric functions with the help of unit circle, identity sin2 x+cos2 x=1 for all Sign of x, Trigonometric functions and their graphs. Expression of sin2x + cos2x=1 for all Sign of x, Trigonometric functions and their graphs. Expression of sin (x±y), and Cos x and cos (x±y). in terms of Sin x, Sin y, Cos x and Cos y.
Deductions :
Identities related to Sin2x, Cos2x, tan2x, Sin3x, Cos3x, and tan3x. General solution of trigonometric equations of the type Sin, Cos. Sine and Cosine formulae and their simple applications.
Determinants of square matrix ( upto 3×3 matrices ) properties of determinants, minors, cofactors and applications of determinants in finding area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables using inverse of a matrix. Crammer's Rule and its applications.
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Maple worksheets are files that solve mathematical problems from the fields of mathematics, science, and engineering. Calculations and accompanying documentation can be stored in the same worksheet. Worksheets are both interactive and reusable. They can be used to replace calculators, spreadsheet application programs, and programs in languages such as FORTRAN. Specifically, in worksheets you can:
•
perform computations
•
manipulate mathematical expressions
•
describe the problem-solving process
When you use Maple to perform computations or manipulate expressions, Maple displays the corresponding results, which you can use for subsequent processing. The request you send Maple is called Maple input, and the result is called Maple output. Together, Maple input and output comprise an execution group, which is the fundamental element of the worksheet.
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Prealgebra usually consists of elements of arithmetic such as adding fractions, definitions of numbers such as integers, fractions, and laws of arithmetic (distributive, associative and commutativity). This subject is the necessary basis for all math courses proceeding beyond prealgebra. Such co...
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Text: Elementary Differential
Equations by Edward and Penney; we will be covering Chapters 1 through 4, plus
other topics if time permits.
You need to have this text on the first day
of class, not at some indeterminate later date (see the next paragraph.) If you
show up on the first day of class without the text, I will take this as a sign
of LACK OF PREPARATION.
In this course, you can learn both technique
and theory by doing problems. So I am going to assign problems every single
day, starting on day one. They will be collected, graded and returned to you at
the next meeting and will serve as the springboard for what comes next. You
should assign them high priority…I'm not kidding on this.
Daily assignments will count one third of the
grade. The other two thirds will come from a Midterm and a Final.
Let's articulatesome ground rules:
> First...there will be
ABSOLUTELY NO CELL PHONES, LAPTOPS or any other type of electronic devices in
use during class. Please take care of business and TURN THEM OFF before you
enter the classroom.
>Second…please
DO NOT come to class late as it is disruptive. Be in your seat, mentally alert
and ready to participate, at 9:20 when class begins.
>
Third…If you get sick or have some
other kind of emergency, please get in touch with me as soon as you can so we
can work things out.
> Fourth, classes begin on Monday, August
25th. ( You wouldn't believe it but in the past some peeps thought they could
begin classes on a day of their own choosing. That was a BIG mistake.)
Assignments:
1)page 17 # 1-6 and 8,9( Geez! Already?Ashley has
pointed out that there is a mistake in the answer section for this assignment
!)
On
problem 36, you are given that xMAX = 2.25, from which you want to
compute v0. First compute tMAX. You'll find that tMAX
=v0 / gE ( Earth's gravitational constant) Then
using that, you find that xMAX =v02 /2gE.
and from that you can figure outv0.
3)
page 43 # 21, 22, 25
4) Using the value of k that we found in
class, predict the U.S. population in 1920 ( compare with the actual value of
about 106 million) Plus, on page 43, do numbers 33-38
5) page 84 #32 ( just do the derivation as
discussed in class…i.e., go from equation (*) to this form of the solution) and
# 29 ( on part c , maybe just see how accurately the Verhulst model predicts
P(2000)or P(1990)
6) page 44-45 # 43, 48, 65
7)
page 54 # 2, 3, 4, 8, 15, 17, 22, and 24
8)
page 55 # 33, 35
9) A handout on exactness. I'll post a couple of extra copies on
my door.
10)
pg 73 # 33, 35, 37, 39 Do these by the systematic way introduced in class,
please.
11)
Using the numbers provided in class ( copies on my door) compute escape
velocity for the Sun, Earth, Moon and Antares. Then, for the Sun, Moon and
Antares,compute what radius will
produce a black hole…as we did in class for the Earth.
12)
pg 111 # 1, 2, 5, 6
13)
A handout with 8 problems on solving second order equations..copies on my door
( The equation in problem 4 should end in 25y, not just 25. Sorry for the
misprint.) Comments added Saturday morning….if you have complex roots a+bi and
a-bi and the a is equal to 0, the corresponding real solutions are just cos(bx)
and sin(bx), since eax=1. Also, in the first problem, the roots are
real; they are approximately -3.62 and -1.38.
Announcement about late homework….I'm afraid I have been encouraging
bad habits among a very few of us. From now on, unless you have spoken with me
in advance, as soon as I start grading an assignment any previous assignments
that have not been handed in will be regarded as late. They may incur a late
penalty or, if they're REALLY late, they may not get graded at all.
I also passed out a list of topics from which
exam questions will be selected. I'll post copies on my door.
MIDTERMMondayOctober 13 th
19)
page 161 # 31, 32, 3320)Calculate the
response amplitude for the system x" + 16x = sin ( omega)t when omega = 4.1,
4.08, 4.05 , respectively. Suppose the system will collapse if the response
amplitude reaches 5 units. What omega will produce this?Then, let's do an experiment. Suppose we
look at x" + 9x = cos 3t. Show that the method of undetermined coefficients
fails if we try a trial solution of the form xT = A cos 3t. ( We'll
see what to do about this next time.)
The point here is to illustrate the
dominance of xp when you have pure resonance.#3) This problem gets us started on resonance
in damped systems. Take the equation mx" + cx' +kx = F0cos (omega)t.
We want to work out the general form of the steady state solution, xp,
so substitute the trial solution, xt = A cos ( omega)t + Bsin(omega)t
and calculate what A and B are in terms of K,m,omega, c and F0. We'll
go from there next time.
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Shipping prices may be approximate. Please verify cost before checkout.
About the book:
Ostebee and Zorn's approach applies reform principles to a rigorous calculus text. Conceptual understanding is the main goal of the text, and looking at mathematics from many representations (graphical, symbolic, numerical) is the main strategy for achieving this type of understanding. The key strengths of the text include combining symbolic manipulation with graphical and numerical representation, exercises of a varied nature and difficulty, and explanations written to be understandable to student readers.
A student-friendly and approachable tone, numerous examples, critical-thinking questions, and supportive details and commentary help students successfully read and use the text.
Representation of mathematical concepts through a variety of viewpoints supports different learning styles. Students see the math worked out through multiple representationsgraphically, numerically, and symbolicallyto enhance conceptual understanding.
Proofs presented at point of use contribute significantly to helping students understand rigorous calculus concepts and develop analytic skills.
Varied exercise sets offer instructors more options for creating homework assignments. Basic Exercises, which are straightforward and focus on a single idea, help students build basic skills.
Further Exercises are a little more ambitious and may require the synthesis of several ideas, a deeper or more sophisticated understanding of basic concepts, or the use of a computer algebra system such as Maple or Mathematica. These are available for professors to assign when they would like to challenge their students and incorporate technology into their course.
Answers to Select Exercises can be found in the back of the text, enabling students to get immediate feedback and assess their understanding of the material.
Interludes are brief project-oriented expositions, with related exercises, that extend the concepts presented in the chapter. Professors have the opportunity to include these topics found at the end of the chapter as independent work, group work, or as a classroom activity. The Interludes include theoretical problems and proofs intended to enhance student understanding of the key calculus concepts.
Softcover, ISBN 0618248579 Publisher: Houghton Mifflin (Academic), 0618248579 Publisher: MCDOUGAL LITTEL, 2002 Used - Acceptable, Usually ships in 1-2 business days, Covers and corners may show shelf wear or creasing. USED stickers on covers. Many of the pages may have highlighting/underlining and/or notes in the margins. Used books do not include valid access codes or other supplements. Ships from Boulder, CO with delivery confirmation. Satisfaction guaranteed.
Softcover, ISBN 0618248579 Publisher: MCDOUGAL LITTEL, 2002 0618248579 Publisher: MCDOUGAL LITTEL 0618248579 Publisher: MCDOUGAL LITTEL80618248575-4-0
Softcover, ISBN 0618248579 Publisher: MCDOUGAL LITTEL, 2002 Used - Very Good, Usually ships in 1-2 business days, Very Good condition! Huge seller with millions of transactions! Satisfaction Guaranteed!
Softcover, ISBN 0618248579 Publisher: Houghton Mifflin College Div, 2002 Used - Good, Usually ships within 1 - 2 business days, This Book is in Good Condition. Clean Copy With Light Amount of Wear. 100% Guaranteed.
Softcover, ISBN 0618248579 Publisher: Houghton Mifflin College Div, 2002 Used - Acceptable, Usually ships within 1 - 2 business days, Visibly worn from excessive use but readable copy. May be an ex-library copy and may not include CD and/or Accessories.
Softcover, ISBN 0618248579 Publisher: Houghton Mifflin College Div, 2002 Used - Good, Usually ships within 1 - 2 business days, Good condition. Ships from US. Please allow 10-15 business days for delivery. We are happy to answer your inquiries.
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More About
This Textbook
Overview
Practical Business Math Procedures is a comprehensive introduction to the concepts and applications of mathematics to personal and commercial business problems. The text uses basic arithmetic and problem solving techniques and illustrates their use in retailing, interest and loans, banking, payroll, taxes, investments, insurance, and a variety of other business situations. The text is well known for the motivating integration of interesting real world examples and photos from the Wall Street Journal, Kiplinger's, and many other business journals. PBMP's is the most popular and widely used book for this course and is carefully written and developed to support students with little math experience with practice quizzes, thousands of exercises, color coded procedures and diagrams, supporting tutorial videos on DVD, and the highest standards of reliability and cleanliness.
Related Subjects
Meet the Author
Jeff Slater has been teaching 30 years at North Shore Community College. He has acted as a consultant for the office of personnel management in Boston and New York. Jeff tours the country giving speeches on student retention at colleges as well as national conventions
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Custom Components and Libraries: Thermal Model of a House
Johan Rhodin
In this project course from the Wolfram SystemModeler Virtual Conference 2012, a complete house-heating system is constructed in Wolfram SystemModeler. The course shows how measurement data from Mathematica can be used in simulations and how the simulation results can be visualized.
The Wolfram Computable Document Format (CDF) provides a new streamlined way for creating dynamic educational content. This course from the Wolfram Mathematica Virtual Conference 2012 shows how to use ...
In this Wolfram Mathematica Virtual Conference 2011 course, learn why Mathematica is used for academic research with a look at its programming language, support for parallel computing, and multiple publishing ...
Explore interactive and engaging materials for the classroom enriched by Wolfram|Alpha and the Wolfram Demonstrations Project. This Wolfram Technology for STEM Education: Virtual Conference for Education talk gives more ...
computerbasedmath.org has been engaged in a fundamental rethink of math education. This Wolfram Technology for STEM Education: Virtual Conference for Education talk shares some of the thinking behind the ...
In this project course from the Wolfram SystemModeler Virtual Conference 2012, a complete house-heating system is constructed in Wolfram SystemModeler. The course shows how measurement data from Mathematica
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I'm getting really tired in my math class. It's polynomials for dummies, but we're covering higher grade material. The topics are really complex and that's why I usually sleep in the class. I like the subject and don't want to fail , but I have a real problem understanding it. Can someone help me?
Algebrator is one of the best resources that can render help to a person like you. When I was a beginner, I took support from Algebrator. Algebrator offers all the basics of College Algebra. Rather than utilizing the Algebrator as a line-by-line tutor to solve all your homework assignments, you can use it as a coach that can give the fundamental principles of side-angle-side similarity, percentages and roots. Once you get into the principles, you can go ahead and work out any tough problem on College Algebra very quickly .
roots, decimals and linear equations were a nightmare for me until I found Algebrator, which is truly the best math program that I have come across. I have used it through several math classes – Pre Algebra, Pre Algebra and Remedial Algebra. Just typing in the math problem and clicking on Solve, Algebrator generates step-by-step solution to the problem, and my math homework would be ready. I really recommend the program.
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Algebra With Pizzazz Pdf
PDF Group - Lawton Chiles Middle School notes from the authors middle school math with pizza is a series of five books designed to provide practice with skills and concepts taught PDF Group - Lawton Chiles Middle School
PDF The Authors - Lawton Chiles Middle School not from the authors middle school matn with pizzazz is a series of five books designed to provide practice with skills and concepts taught PDF The Authors - Lawton Chiles Middle School
PDF How Does a Rodeo Star Get Around - how does a rodeo star get around first simplify each expression below then evaluate the expression for the given value of the variable find the simplified PDF How Does a Rodeo Star Get Around -
PDF ALEKS Math Assessment aleks math assessment by david l johnson a ll math teachers face the chal-lenge of responding to students individually in the classroom assessing each students PDF ALEKS Math Assessment
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Mathematical Ideas, Expanded Edition - 11th edition
Summary: One of the biggest issues college math instructors face is capturing and keeping student interest. Over the years, John Hornsby has refined a creative solution--bringing the best of Hollywood into his mathematics classroom.Mathematical Ideasapplies this same strategy of engaging students through video clips from popular cinema and television to the textbook. Alongside fresh data and tools, this Eleventh Edition uses up-to-the-minute images as well as old favorites of math being done...show more in Hollywood. In addition, examples are clarified with additional annotations, chapter summaries are made more intuitive to aid review, and chapter tests now include specific section references, making it easier for students to refer back to topics that need more attention. With great care and effort, the authors have crafted this new edition to serve the needs of today's students and instructorsRaiderbooks Fairborn, OH
2007 Hardcover Good Condition! ! ! ! ! ! What a Deal! ! ! ! ! !
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I completed the class discrete mathematics for computer science while in college. The topics covered were logic, proofs, mathematical induction, sets, relations, graph theory etc. I apply this knowledge almost daily when I program in excel.
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I think I know what you're looking. Take a gander at Algebra Buster. This is an excellent tool that helps you get your assignments done quicker as well as right. It can assist you with courses in t183 online calculator, scientific notation as well as more.
I am a regular user of Algebra Buster and it's genuinely helped me comprehend math exercises better by providing detailed steps for the solution. I endorse this software program to algebra studies. You simply need to follow the directions presented there.
A genuinely remarkable piece of algebra software is Algebra Buster. I even faced like homework while solving binomial formula, radical equations and multiplying fractions. Just by typing the problem from your homework and selecting solve, a detailed solution to my algebra assignment would be ready and complete. I have exploited it through several math classes of instruction - Pre Algebra, Algebra 2 and Algebra 2. I can easily recommend this application.
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By Gamelin, Theodore and Greene, Robert (Dover Publications) Recommended
Course Objectives
To generalize the concept of distance.
To examine the extent to which analytical concept can be developed in terms of topology.
To study examples which counter our Euclidean-based intuition.
To communicate mathematically, formally and informally, both verbally and in writing.
Measurable Learning
Outcomes:
Determine if sets are open, closed or neither with respect to various topologies.
Find the closure, limit points, boundary and interior of sets with respect to various topologies.
Determine if spaces meet the criteria to be metric spaces of topological spaces.
Determine if functions defined on topological spaces are continuous.
Determine if sequences defined on topological space are convergent.
Determine if a topological space is compact, complete, connected, or separable.
Topical Outline:
Metric spaces
Topological spaces
Convergence
Completeness
Compactness
Connectedness
Separation
Culminating Experience Statement:
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Trigonometry
Martha Candler
Welcome to the Trigonometry Course at SchoolhouseTeachers.com!
Welcome to the Trigonometry course. I'm Martha Candler, and I look forward to helping you in the days and weeks to come.
I have chosen to explain in detail the basic topics in a course that is part of the Algebra II sequence, as well as an introduction to additional topics for students in the Pre-Calculus sequence. You will need additional problems to work and an extension of these ideas at times. Just keep in mind that it is not my intent to provide you with a complete course as in a textbook—although it comes close to that on certain topics. Graphing calculator use is explained briefly for certain problems.
A table of contents is included so that you can tell which topics are covered in our 14 weeks of lessons.
Along the way, I have numerous problem sheets, and answer keys, in my lessons.
Thank you for attempting this course and joining me here at SchoolhouseTeachers.com. I hope it has been helpful. I would appreciate it very much if you let me know which parts were the most helpful. Just send a message to customerservice@theoldschoolhouse.com.
Martha Candler is a mathematics teacher with five years of high school experience and 20 years of teaching math at the college level, most often as an adjunct instructor so that she could be home when her children were home. With most of her experience in College Algebra, Trigonometry, Pre-Calculus, and Business Calculus, her favorite has always been Trigonometry.
She believes that students should understand what they do and not just do the work mechanically or through shortcuts. As much as possible, they should see a reason or use for what they are learning. This is her philosophy when creating extra materials for her classes.
Martha has two married daughters who went through public schools, but that might not be the case if they were school age now, she says. She enjoys reading, needlework, and is very involved in the music program at her church, where she plays piano, keyboard, harp (occasionally), and works with a men's vocal quintet and a mixed ensemble.
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*Visualizing Mathematics
Featured Courses: Visualizing Mathematics
Visualization has been at the heart of how people learn and understand mathematics for over 2000 years.
Reasoning from experience led the ancient Greeks to the discovery of ideas that underlay mathematics we still use today.For example, building and architecture led to the formalization of many of the properties of basic shapes: rectangles, triangles, and circles. Once those properties were known, it was easy to find additional practical applications for the knowledge.The diagram shows how a staff of known length, its shadow, and knowledge of the basic properties of right triangles can be used to measure an object of unknown length.
Students in this course focus on visual representations of mathematical ideas. If you've struggled with math in the past, this visual approach may help make become reacquainted with math using visual representations of mathematical concepts and by relating those concepts to real life situations. The course is organized around four concepts that are central to mathematical understanding:
The course starts with a series of four videos; Similarity, The Theorem of Pythagoras, The Story of Pi, and The Tunnel of Samos, that help students see the patterns and relationships that underlie all of modern mathematics. The videos provide prerequisite mathematical knowledge in a way that is understandable and accessible to any student regardless of math background or previous results in mathematics.
From this foundation students work to develop a deeper understanding of a range of mathematical topics using interactive math tutorials that allow the student to solve math problems visually and interactively. In a final section of the course students learn how graphs and charts are used visualize the information found in data. Using visualization to see and understand the patterns found in data ties back into the math concepts presented earlier.
This course features the use of interactive math visualization tools. You can expreiment with a few of these tools here.
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Preempt your anxiety about PRE-ALGEBRA!
Ready to learn math fundamentals but can't seem to get your brain to function? No problem! Add Pre-Algebra Demystified , Second Edition, to the equation and you'll solve your dilemma in no time.
Written in a step-by-step format, this practical guide begins by covering whole numbers, integers, fractions,... more...
Currently there is substantial exchange and communication between academic communities around the world as researchers endeavour to discover why so many children 'fail' at a subject that society deems crucial for future economic survival. This book charts current thinking and trends in teacher education around the world, and looks critically at theAims to further understanding of why some pupils have low achievement in numeracy in the school context. This book examines this by a relatively original view that focuses on numeracy as a social practice. It is useful for policy, practice and further research into the teaching and learning of mathematics in schools. more...
Explores history to find evidence that humans have long struggled with the concept of zero, from the Greeks who may or may not have known of it, to the East where it was first used, to the modern-day desktop PC, which uses it as an essential letter in its computational alphabet. more...
This book is a supplement to the text Teaching Fractions and Ratios for Understanding. It is not merely an answer key, but a resource that includes in-depth discussions of the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with... more...
This popular text addresses the urgent need for curriculum materials that cross traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, student thinking, teaching methods, instructional activities, and assessment. The book pushes readers beyond the limits... more...
Mathematics for Dyslexics: Including Dyscalculia, 3rd Edition discusses the factors that contribute to the potential difficulties many dyslexic learners may have with mathematics, and suggests ways of addressing these difficulties. The first chapters consider the theoretical background. The later chapters look at practical methods, which may help dyslexic... more...
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Mathematics
MATH 0300 - ELEMENTARY ALGEBRA (3 Credits)
Arithmetic operations on the real number system with fractions, decimals and percents; basic concepts of and operations on algebraic expressions, along with their usage in the solution of linear equations and inequalities; operations with whole number exponents and polynomials, graphing linear equations and inequalities in two variables; solution of systems of equations. Meets the equivalent of five 50-minute periods per week. Does not count toward any degree requirement, including elective credit; does not compute in OLLU grade point average. Offered: Fall, Spring.
MATH 0320 - INTERMEDIATE ALGEBRA (3 Credits)
Use and understanding of basic algebraic skills in preparation for college algebra; operation with rational expressions and radical expressions; solution of quadratic, radical, rational, and absolute value equations and inequalities; graphing, factoring and other operations of polynomials; function and domain; complex numbers. Meets the equivalent of five 50-minute periods per week. Does not count toward any degree requirement, including elective credit; does not compute in OLLU grade point average. Offered: Fall, Spring.
The first in a sequence of two four-hour courses designed for elementary education majors. Topics include study of patterns and relationships, algebraic thinking, sets, numeration systems, introduction to number theory and the real number system and its subsystems with a problem-solving approach. Manipulatives and hands-on activities are used to teach content and pedagogical knowledge for the K-8 grades. The content reflects the Texas Essential Knowledge and Skills (TEKS), as well as the mathematics included in the Examination for the Certification of Educators in Texas (TExES) Standards. Prerequisite: MATH 0300 or equivalent or placement above MATH 0300. Offered: Fall, Spring.
MATH 1407 - ESSENTIALS IN MATHEMATICS II (4 Credits)
The second of a sequence of two four-hour courses designed for elementary education majors. Topics include probability, statistics, informal geometry, motion geometry and concepts of measurement with a problem-solving approach. Manipulatives, hands-on activities and appropriate technology are used to teach content and pedagogical knowledge for the K-8 grades. The content reflects the Texas Essential Knowledge and Skills (TEKS), as well as the mathematics included in the Examination for the Certification of Educators in Texas TExES) Standards. Prerequisites: MATH 1406 or equivalent. Offered: Fall, Spring.
Fundamental mathematical concepts are studied to provide students the opportunity to move from concrete to abstract mathematics. Emphasis is on understanding the importance of definitions and axiomatic structure and on developing the students' ability to create proofs. Prerequisite: Nine hours of college-level mathematics. Offered: Fall.
A study of basic concepts and historical development in geometric theory using Euclidean geometry as a central focus; among the approaches used are synthetic, transformational and coordinate, with emphasis on logical reasoning, justification and proof in relation to axiomatic structures. Prerequisite: MATH 3310 or consent of instructor.
MATH 3363 - PROBLEM SOLVING (3 Credits)
Elementary problem solving using a variety of techniques, such as recognizing patterns, conjecturing, specializing and generalizing. Strong emphasis on writing. Prerequisite: Nine semester hours of college mathematics credit.
A study of the major concepts of differential and integral calculus with an emphasis on applications. This course is for non-science majors. Students cannot receive credit for this course if they have credit in MATH 2412. Prerequisite: MATH 1304 or equivalent.
This course provides an introduction to the use of mathematical techniques applied to solve problems in biology. Models discussed fall into three categories: discrete, continuous, and spatially distributed. Biological topics discussed range from the subcellular molecular systems and cellular behavior to physiological problems, population biology and developmental biology. Prerequisites: MATH 2413, MATH 3322. Offered: Spring.
MATH 4351 - MATHEMATICAL MODELING (3 Credits)
This course provides an introduction to the use of continuous and discrete differential equations in the biological sciences. Biological topics may include single species and interacting population dynamics, modeling infectious and dynamic diseases, regulation of cell function, molecular interactions and receptor-ligand binding, biological oscillators, and an introduction to biological pattern formation. Prerequisites: MATH 2413, MATH 3322, MATH 3311. Offered: Fall.
Historical development of mathematics and the study of various philosophies of mathematics. Prerequisite: MATH 2412 and eight additional semester hours in college-level mathematics or consent of instructor.
MATH 4362 - TOPICS IN DISCRETE MATHEMATICS (3 Credits)
Set theory relations and mappings, graph theory, development of algorithms and combinatorics. Prerequisite: MATH 3310.
MATH 5151 - SENIOR SEMINAR IN MATHEMATICS (1 Credit)
A one-credit hour seminar that provides a capstone experience required for all mathematics majors except those seeking secondary certification. Each student completes a comprehensive project that involves researching an advanced mathematical topic and presenting the results in a formal lecture. Prerequisite: Senior status.
MATH 5160 - SELECTED TOPICS (1 Credit)
In-depth study or research in a specialized topic chosen by instructor or by student with consent of the instructor. May be repeated for credit when topics vary. Prerequisite: 12 advanced hours in mathematics and consent of instructor.
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Learn more about Helping Students Understand:
GDZ1543: Help students make the transition from math to geometry! Written for teachers to use as a full unit of study or as a supplement to their curriculum, this book helps simplify geometric concepts. Parents and students can also use this resource at home as a tutorial or to enhance what is being taught in the classroom. Each book includes: simple step-by-step instructions with examples, practice problems using the concepts, real-life applications, a list of symbols and terms, tips, answer keys, and references. This book also meets NCTM Standards and Expectations
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Classes
MTH 151: Technical Algebra
This course introduces algebraic, geometric and trigonometric concepts in an applied setting and is primarily for trade and technical students. Topics, which emphasize applications, include: a review of the fundamentals of fractions, decimals and percents; terminology and applications of geometry; measurements and conversions; algebraic expressions, equations, and formulas; ratio and proportions; summary graphs and charts; and an introduction to right triangle trigonometry
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Algebra 2
Description
Help your student discover the logic, order, beauty, and practicality of algebra. Throughout the course, students are encouraged to use their reasoning ability as they work with the axioms, rules, and principles of algebra. Concepts are developed and mastered through an abundance of worked examples and exercises, with an emphasis on word problems that relate to the physical world. Reviews at the end of each unit measure progress, and special sections challenge the mathematically talented student. This text calls for a scientific calculator that has the trigonometric functions, statistics, powers, and roots. Designed to be used in grade 10.
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Precalculus: Functions and Graphs
Clear explanations, an uncluttered and appealing layout, and examples and exercises featuring a variety of real-life applications have made this text ...Show synopsisClear explanations, an uncluttered and appealing layout, and examples and exercises featuring a variety of real-life applications have made this text like you. The book also provides calculator examples, including specific keystrokes that show you how to use various graphing calculators to solve problems more quickly. Perhaps most important-this book effectively prepares you for further courses in mathematics.Hide synopsis
Description:New. Brand new and sealed in original shrink wrap. FREE online...New. Brand new and sealed in original shrink wrap. FREE online access included. US, student, 12th edition. All orders are carefully packaged and processed within 24 hours.
Description:New. 0840068573 Premium Publisher Direct Books are Like New or...New. 0840068573840068573 BRAND-NEW, Unread Copy in Perfect Condition....New. 0840068573 Precalculus: Functions and Graphs
This book moves too fast with poor examples. I also purchased the solutions guide which was also poor. The first example of a set of problems is shown with all stepps required to complete it but then the more difficult problems do not show the important steps so that I could see where I went wrong.
Discussions about Precalculus: Functions and Graphs
This is the poorest Math book I ever came across in the over 20 years I have been doing Math. There is not proper order in the book - sub topics are introduced right in the middle of a paragraph. No clear presentation of info - after reading a a whole Section I am still left wondering how to piece
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For all Practical Purposes: Mathematical Literacy in Today's World
the most important areas of discrete mathematics.
This book is a text much used in the USA to support social scientists who need to know about the many important mathematical inputs into their subject areas. Its contents are especially interesting in that no calculus is assumed, required, or used. Yet it explains and applies a vast range of important mathematical ideas to concrete problems in business, social choice, apportionment, strategy,
decision making, and design.
The key to the success of this book is the quality of the authors of the different chapters. Leading researchers in the focal subject areas have provided the individual chapters. The book is divided into twenty chapters, organised into five parts. Most of these chapters can be read as stand-alone expositions of their subject matter, or the separate parts can be enjoyed as short courses. The
subjects treated are engagingly novel and most will not be seen by school students in the UK, or even by mathematics undergraduates unless they take appropriate options in the latter part of their course.
The first part of the book treats street networks with simple graph theory, travelling salesman problems and critical paths through complex multi-tasks, the mathematics of planning and scheduling, and linear programming. The second part is about probability and statistics, while part three covers check-digit security systems on credit cards and bank notes, ISBNs, universal product codes,
modern cryptography, and information transmission. Part four is the most impressive, with clear thorough chapters about voting paradoxes and social choice, weighted voting systems, problems of fair division of resources - with a nice case study of the Trump divorce case, and (what should be required reading for all lawyers and election officials in the US) the theory of elections and voter
representation and apportionment. This part ends with a 50-page chapter about game theory, beginning with simple 2-person games, but moving on to larger games and examples of many real-world applications.
These chapters are American in their case study focus but the principles they expound are general and universal in application.
The next part of the book focuses on size and shape and has chapters about scaling and proportion (with a heavy emphasis on biological examples), symmetry, patterns and tilings of the plane, which includes substantial discussions of the possible frieze and wallpaper designs together with the work of Escher and Penrose.
Finally, the curtain is brought down with two separate chapters on logic and consumer finance models.
Few of this galaxy of subjects can be found in such accessible forms elsewhere. Each subject is illuminated by many real-world applications and illustrated by examples drawn from the American media. The presentation is lavish, with colour used on every page, yet the real mathematics is still done. There are many problems (with solutions to the odd-numbered examples included) about real
examples of the topics discussed in each chapter and many cross-references to books, articles, and websites. Further bonuses are separately listed projects on which to use computer or calculator skills and other writing projects for non-computer types. Nor are teachers forgotten. Supplementary packages are available for instructors, on-line testing is an option, videos and CDs cover wider aspects
of the subject matter, and there is a website to support both students and instructors. Clement Durrell eat your heart out.
This book is exemplary. It shows what can be achieved by an alliance of first rate mathematicians, educators, designers, and publishers. The result is a treasure trove of fascinating real-world applications of mathematics that many high-school students would not even know existed. This is a book to fascinate A level students with mathematical interests and convince social science students that
mathematics is vital for their subjects. It manages to solve the problem of making a seamless transition from the world of purely qualitative discussion of topical problems to their accessible mathematical treatment. This is the first book that I recommend to anyone seeking stimulating reading beyond the school curriculum. If you thought that mathematics leads only to physics and engineering then
read this book. Even if you didn't, still read this book.
You can buy the book and help Plus at the same time by clicking on the link on the left to purchase from amazon.co.uk, and the link to the right to purchase from amazon.com. Plus will earn a small commission from your purchase.
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Cleveland, TX Calculus a lot of experience with the integration of material from other programs such as Microsoft Word into PowerPoint. Pre-algebra begins the student's entry into higher math. In many ways it is more important than the upper level math courses.
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More About
This Textbook
Overview
MyMathLab, used by more than 6 million math students, provides a wide range of homework, tutorial, and assessment tools that make it easy to manage your course online. This is the product access code card for MyMathLab and does not include the actual bound book, but does include the eBook.
Kirk Trigsted revolutionized the way this course is taught when he created College Algebra, a completely clickable eText that was written from the ground up within MyMathLab®. Recognizing that today's students start with the homework instead of reading the text, Trigsted created an online learning environment that is a seamless mix of exposition, videos, interactive animations, tutorials, and assessment. This approach leverages the power of MyMathLab and leads students to interact with course materials in a way that is proving to be more effective.
With this new edition, Trigsted continues to innovate with a revised design with improved navigation and usability, expanded videos, and increased animation coverage. As with the prior edition, all multimedia elements, exercises, feedback, and content are written by the author himself, so that the students have a consistent voice throughout the eTextProduct Details
ISBN-13: 9780321923752
Publisher: Pearson
Publication date: 5/9/2014
Edition description: Student
Edition number: 2
Sales rank: 863,444
Product dimensions: 8.40 (w) x 10.80 (h) x 0.30 (d)
Meet the Author
Kirk Trigsted teaches mathematics at the University of Idaho and has been Director of the Polya Mathematics Center since its inception in 2001. Kirk has taught with MyMathLab for many years, and has contributed to the videos for several Pearson books. Kirk is also actively involved with the National Center for Academic Transformation (NCAT).
12.2 Solving Systems of Linear Equations in Three Variables Using the Elimination Method
12.3 Solving Systems of Linear Equations in Three Variables Using Gaussian Elimination and Gauss-Jordan Elimination
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Karl J Smith See less
Karl J Smith book reviews
Mathematics: Its Power and Utility
Mathematics- It's Power and Utility
Excellent material for pre-high school studants, or for people who want to advance their understanding of math. Includes Alegebraic problem solving, Geometry,Statistics, Logic and Sets.
Well
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College Algebra and Trigonometry
Description: This college text includes new and updated examples and exercises. It is a comprehensive guide to algebra and trigonometry, with an emphasis on skills development and real-world applications
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Topology
9780072910063
ISBN:
0072910062
Edition: 1 Pub Date: 2004 Publisher: McGraw-Hill College
Summary: Sheldon Davis' text is written for introductory courses in topology taken by advanced undergraduate and beginning graduate students. Designed to be flexible, the text is divided into two parts to accomodate different courses, course configurations, and instructor preferences. Part I of the text covers the bare essentials every student should know about topology before continuing on to study point-set or set-theoretic... topology, algebraic topology, funcitonal analysis, continuum theory, or the many other important areas in mathematics that utilize topology fundamentals. To keep the text manageable for beginning students, use of set theory in Part I is kept to an intuitive level. Part II contains a complete beginning course in general topology, or set-theoretic topology. General topology courses that assume prior background in the fundamentals can start directly with Part II and use the material in Part I for conceptual review. This text is part of the Walter Rudin Student Series in Advanced Mathematics.
Davis, Sheldon W. is the author of Topology, published 2004 under ISBN 9780072910063 and 0072910062. Two Topology textbooks are available for sale on ValoreBooks.com, and one used from the cheapest price of $87.22.[read more]
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Description
This unit aims to increase confidence and ability in mathematical skills, to provide an introduction to the understanding of mathematical principles of algebra and trigonometry and to introduce systematic problem solving techniques. It includes a review of basic algebra; involving introduction to algebraic functions and their graphs; trigonometric functions, properties and identities; elementary theory of vectors; elementary matrices and linear algebra.
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If you would like to study this unit and enrol today, add it to your Study Cart. Alternatively if you are still exploring your options, you can save this unit to review later by clicking Save to Wishlist.
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Mathematics & Physics for Programmers, 2nd Edition
The casual game market continues to expand, and with the use of Flash growing and the increased popularity of the iPhone and other mobile gaming devices, developers have an exciting new route to market. But many of these budding game programmers find that they're missing the core math and physics skills they need to develop even simple games. MATHEMATICS AND PHYSICS FOR PROGRAMMERS, SECOND EDITION teaches beginning game programmers they skills they need to develop causal games. Beginning with the basic aspects of mathematics and physics that are relevant to games, and moving on to more complex topics, the book combines theory and practice and the reader develops a number of games throughout the course of the book. With the concepts and techniques presented in the book, readers should be able to program a number of standard casual game types, including Mario-style platformers, driving simulations, puzzle games, and a simple first-person shooter. They will also gain a basic understanding of 2D and 3D geometry
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Whether you're a hobbyist or a budding game design pro, your objective is probably the same: To create the coolest, funnest and a fun racecar demo that's carried forward throughout the volume, author Wendy Stahler covers the trigonometry snippets, vector operations, and 1D/2D/3D motion you need to improve your level of game development. Each chapter includes exercises to make the learning stick as well as Visualization Experience sections that walk you through a CD demo of the chapter's content. By the end of the volume, you'll have a thorough understanding of all of the math and physics concepts, principles, and formulas you need to control and enhance your user's gaming experience.
From the Publisher:Product Attributes
Book Format:
Paperback
Number of Pages:
0504
Publisher:
New Riders Publishing
View all buying options for Beginning Math and Physics for Game Programmers
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Mathematical Modeling with Maple, 1st Edition
With an innovative approach that leverages the power of the Maple® computer algebra system as an analytical tool, MATHEMATICAL MODELING WITH MAPLE offers an effective introduction to mathematical modeling of compelling real world applications. Intended for students with a background in calculus, the text shows how to formulate, build, solve, analyze, and critique models of applications in math, engineering, computer science, business, and the physical and life sciences. The book utilizes Maple for computations, plotting results graphically, and dynamically analyzing results within the modeling process. Easy-to-follow software instructions are provided, and Maple syntax in the book is also offered online as Maple workbooks allowing students to quickly and interactively work problems as they read. MATHEMATICAL MODELING WITH MAPLE helps students develop their analytical skills while harnessing the power of cutting-edge modern technology, allowing them to become competent, confident problem solvers forHardcover $139.49
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9780130144003 Graph Theory (2nd Edition)
This book fills a need for a thorough introduction to graph theory that features both the understanding and writing of proofs about graphs. Verification that algorithms work is emphasized more than their complexity. An effective use of examples, and huge number of interesting exercises, demonstrate the topics of trees and distance, matchings and factors, connectivity and paths, graph coloring, edges and cycles, and planar graphs. For those who need to learn to make coherent arguments in the fields of mathematics and computer science
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Mathematics for Teachers: Interactive Approach for Grade K-8
9780495561668
ISBN:
0495561665
Edition: 4 Pub Date: 2009 Publisher: Brooks/Cole
Summary: Sonnabend, Thomas is the author of Mathematics for Teachers: Interactive Approach for Grade K-8, published 2009 under ISBN 9780495561668 and 0495561665. Three hundred sixty four Mathematics for Teachers: Interactive Approach for Grade K-8 textbooks are available for sale on ValoreBooks.com, fifty eight used from the cheapest price of $58.79, or buy new starting at $132.00 Instructor's edition textbook. May not contain supplementary materials such as access codes or CDs. 2nd day shipping available; ships same or next day.This is the U [more]
ALTERNATE EDITION: This is an Instructor's edition textbook. May not contain supplementary materials such as access codes or CDs. 2nd day shipping available; ships same or next day.This is the U.S. student edition as pictured unless otherwise stated. [less
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Courses
MTH - | Course Descriptions | Monroe Community College
MTH -
We live in a world enriched by technology. To that end, the Mathematics Department embraces the selected use of technology, e.g., calculators, computer instruction, online testing, and online assignments, to enhance the learning of mathematics. Some MCC mathematics courses are available via non-traditional delivery methods such as hybrid courses, online courses, and courses taught exclusively in computer classrooms. Many mathematics instructors, in both traditional and non-traditional classes, require that students use online ancillaries as part of their courses, including online tests and assignments. Students should refer to their instructor's course information sheet for details. If there are questions or concerns about the use of technology, students are encouraged to contact their instructor, preferably before classes start.
Mathematics Placement:
Correct placement is important for optimizing a student's chances of success in mathematics. Options for a student's first course in mathematics at MCC depend on the student's placement level as indicated in the table below. Placement test scores and/or recent math transcripts, SAT or ACT test scores are used to determine initial placement levels. TRS placement levels may be revised based on pretesting during the first week of a TRS class. Regardless of placement level, students must satisfy the published course prerequisites.
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Just the critical concepts you need to score high in geometry This practical, friendly guide focuses on critical concepts taught in a typical geometry course, from the properties of triangles, parallelograms, circles, and cylinders, to the skills and strategies you need to write geometry proofs. Geometry Essentials For Dummies is perfect for cramming... more...
A thorough, accessible, and rigorous presentation of the central theorems of mathematical logic . . . ideal for advanced students of mathematics, computer science, and logic Logic of Mathematics combines a full-scale introductory course in mathematical logic and model theory with a range of specially selected, more advanced theorems. Using a strict...
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Featured Research
from universities, journals, and other organizations
Math goes viral in the classroom
Date:
December 14, 2009
Source:
University of Alberta
Summary:
At least a dozen Alberta high-school calculus classrooms were exposed to the West Nile virus recently. Luckily, it wasn't literally the illness. Educators used the virus as a theoretical tool when they designed materials for use in an advanced high-school math course.
Related Articles
Luckily, however, it wasn't literally the illness. University of Alberta education professor Stephen Norris and mathematics professor Gerda de Vries used the virus as a theoretical tool when they designed materials for use in an advanced high-school math course. The materials allow students to use mathematical concepts learned in their curriculum to determine the disease's reproductive number, which determines the likelihood of a disease spreading.
The approach is a marriage of science and math, subjects the researchers say seem to exist in separate worlds at a secondary-school level, but that when brought together can effectively bring real-world scenarios into the classroom to enhance learning and understanding.
Not to mention answering that ages old high-school student question: "why do I need to know this?"
"This piece was designed to satisfy an optional unit in Math 31 (Calculus), for which there are no materials, so we said, 'let's fill the gap,'" said Norris. "These materials show a real application of mathematics in the biology curriculum for high-school students."
Norris and de Vries chose a published academic math paper on the transmission of the West Nile virus and modified it -keeping the science intact, but making it readable and practical for high-school calculus students.
The information and equations in the original paper dealing with disease transmission were then used as the basis for calculus math problems to be solved by the students. Students were presented with a variety of materials that covered topics and concepts such as rate of change, exponential growth-decay models, and models for the carriers of the virus, including mosquitoes and infectious and susceptible birds. The students' mathematical skills were then put to use in determining the spread of the disease using various parameters, which included variables such as biting rate and the probability of infection.
Norris underlines that the project challenged the students to see and understand science in a different fashion from what they learn inside the science curricula. He points out that high-school classroom scientific experiments are "proven" science and have been around for at least 300 years, in many cases. For the students to discover that real scientists often work with some assumptions that they know to be false in order to reach their conclusions was certainly an eye-opening realization for them, he says.
"There's no way out of the fact that the knowledge you gain from science is imperfect; it's tentative and subject to change," said Norris. "I think that's what struck the students between the eyes."
Both researchers agree that this form of collaborative, interdisciplinary learning can take place across all subject areas. De Vries and Norris are currently working on another project that focuses on population genetics that will fit into Grade 12 biology and math courses.
"It's mathematics in the real world. Kids are always asking, 'why am I learning this,'" she said. "All of a sudden the mathematics that kids have learned comes together in a project like Classroom programs designed to improve elementary school students' social and emotional skills can also increase reading and math achievement, even if academic improvement is not a direct goal
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This site is devoted to learning mathematics through practice. Many dozens of practice problems are provided in Precalculus,...
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This site is devoted to learning mathematics through practice. Many dozens of practice problems are provided in Precalculus, Calculus I - III, Linear Algebra, Number Theory, and Abstract Algebra. The last two subject areas -- referred to as "books" on the site -- are under construction. To each topic within a book (for example, Epsilon and Delta within Calculus I) there is a "module" of approximately 20 to 30 problems. Each module also includes a help page of background material. The modules are interactive to some extent and often provide suggestions when wrong answers are entered.
Creative Geometry is a set of web pages designed by a geometry teacher and written for both geometry teachers and geometry...
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Creative Geometry is a set of web pages designed by a geometry teacher and written for both geometry teachers and geometry students. In these web pages, teachers and students will find creative and interesting "hands-on" projects for most topics in the geometry curriculum. Each project is designed to help students understand, remember, and find value in the concepts of geometry.
Difference to Inference is an online JAVA program simulating theory testing and falsification through research design and...
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Difference to Inference is an online JAVA program simulating theory testing and falsification through research design and data collection in a game format. The program, based on cognitive and epistemological principles, is designed to support the learning of thinking skills underlying deductive and inductive logic and statistical reasoning. Students must strategically plan a series of studies and then use the data from those studies to eliminate competing theories. Difference to Inference has database connectivity so that game scores can be counted as part of course grades. No other assignments are necessary. Difference to Inference is supported by an online tutorial for its use and by an online course lecture explaining the principles of scientific methodology behind its play. A companion game whose play fits extremely well with Difference to Inference (for teaching scientific methodology) is called "Detect Difference." Articles about Difference to Inference can be found in the May 2001 issue of Behavior Research Methods Instruments & Computers and in The Journal of Infomation Technology in Medicine (2000).
This site consists of examples, exercises, games, and other learning activities associated with the textbook, Discrete...
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This site consists of examples, exercises, games, and other learning activities associated with the textbook, Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns and Games by Doug Ensley and Winston Crawley. Requires Adobe Flash player.
A collection of puzzles whose answers involve the Fibonacci numbers. The puzzles are of two types: easier and harder; the...
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A collection of puzzles whose answers involve the Fibonacci numbers. The puzzles are of two types: easier and harder; the goal is to explain WHY the puzzles have their respective answers. A link to the page containing the harder puzzles is provided. This site is a sub-page of the larger site, Fibonacci Numbers and the Golden Section.
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College Algebra - 5th edition
Summary: Learn to think mathematically and develop genuine problem-solving skills with Stewart, Redlin, and Watson's COLLEGE ALGEBRA, Fifth Edition. This straightforward and easy-to-use algebra book will help you learn the fundamentals of algebra in a variety of practical ways. The book features new tools to help you succeed, such as learning objectives before each section to prepare you for what you're about to learn, and a list of formulas and key concepts after each section that help reinf...show moreorce what you've learned. In addition, the book includes many real-world examples that show you how mathematics is used to model in fields like engineering, business, physics, chemistry, and biology17.31 +$3.99 s/h
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Hardcover New 0495565210 New book with very minor shelf wear. STUDENT US EDITION. Nice gift. Best buy. Shipped promptly and packaged carefully.
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This unit explores reasons for studying mathematics, practical applications of mathematical ideas and aims to help you to recognize mathematics when you come across it. It introduces the you to the graphics calculator, and takes you through a series of exercises from the Calculator Book, Tapping into Mathematics With the TI-83 Graphics Calculator. The unit ends by asking you to reflect on the process of studying mathematics.
In order to complete this unit you will need 4 we prove that some of the properties of the groups appearing earlier in the unit are, in fact, general properties shared by all groups. In particular, we prove that in any group the identity element is unique, and that each element has a unique inverse.
The modulus function provides us with a measure of distance that turns the set of complex numbers into a metric space in much the same way as does the modulus function defined on R. From the point of view of analysis the importance of this is that we can talk of the closeness of two complex numbers. We can then define the limit of a sequence of complex numbers in a way which is almost identical to the definition of the limit of a real sequence. Another analogue of real analysis arises 1 we formally define real functions and describe how they may arise when we try to solve equations. We remind you of some basic real functions and their graphs, and describe how some of the properties of these functions are featured in their graphs.
Many problems are best studied by working with real functions, and the properties of real functions are often revealed most clearly by their graphs. Learning to sketch such graphs is therefore a useful skill, even though computer packages can now perform the task. Computers can plot many more points than can be plotted by hand, but simply 'joining up the dots' can sometimes give a misleading picture, so an understanding of how such graphs may be obtained remains important. The object ofMailing or discussion lists are email-based discussion groups. When you send an email to a mailing list address, it is sent automatically to all the other members of the list.
The majority of academic-related mailing lists in the UK are maintained by Jiscmail. You will find details of joining these mailing lists on the Jiscmail website. Mailing lists are useful for getting in touch with like-minded colleagues. They are also handy for keeping up to date with current thinking and research further difference between communitarians and cosmopolitans arises over the question of retributive justice. Communitarians think that it is the responsibility of each state to uphold justice. Collectively, states can pursue international justice through the auspices of the UN, and are answerable to each other, to public opinion and to NGOs. However, there is no basis for claims to universal jurisdiction, and to deal with matters not found in specific states (such as piracy), or that cross second source of criticisms that we would like to explore comes from feminist critiques. Some feminists argue that the universal notion of rights makes invisible the special problems faced by women as a group, and that, thereby, specific articles of the various human rights declarations and conventions reinforce traditional gender roles in the family and the workplace. This criticism comes in at least two forms.
The first is that rights for women (as for other disadvantaged groups) issue of climate change draws attention to the power of human activity to transform the planet in its entirety, and it is brought into sharp focus by the predicament of low-lying islands like Tuvalu. As we have seen in this unit, the issue of rising sea level and other potential impacts of changing global climate also point to the transformations in the physical world that occur even without human influence. Oceanic islands provide a particularly cogent reminder that the living things wit
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Precalculus Functions and Graphs: A Graphing Approach
9780618394760
ISBN:
0618394761
Edition: 4 Pub Date: 2004 Publisher: Brooks Cole
Summary: As part of the market-leadingGraphing ApproachSeries by Larson, Hostetler, and Edwards,Precalculus Functions and Graphs: A Graphing Approach,4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help ...students succeed in mathematics. This edition, intended for precalculus courses that require the use of a graphing calculator, includes a moderate review of algebra to help students entering the course with weak algebra skills. Enhanced accessibility to students is achieved through careful writing and design, including same-page examples and solutions, which maximize the readability of the text. Similarly, side-by-side solutions show algebraic, visual, and numeric representations of the mathematics to support students' various learning styles. TheLibrary of Functionsthread throughout the text provides a definition and list of characteristics for each elementary function and compares newly introduced functions to those already presented to increase students' understanding of these important concepts. ALibrary of Functions Summaryalso appears inside the front cover for quick reference. Technology Supportnotes provided at point-of-use throughout the text guide students to theTechnology Support Appendix,where they can learn how to use specific graphing calculator features to enhance their understanding of the concepts presented. These notes also direct students to theGraphing Technology Guideon the textbook web site for keystroke support. Houghton Mifflin'sEduspaceonline classroom management tool offers instructors the option to assign homework and tests online, provides tutorial support for students needing additional help, and includes the ability to grade any of these assignments automatically.
Ron Larson is the author of Precalculus Functions and Graphs: A Graphing Approach, published 2004 under ISBN 9780618394760 and 0618394761. Fifteen Precalculus Functions and Graphs: A Graphing Approach textbooks are available for sale on ValoreBooks.com, ten used from the cheapest price of $0.01, or buy new starting at $20 [more
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Beginning and Intermediate Algebra - 3rd edition
ISBN13:978-0077350086 ISBN10: 0077350081 This edition has also been released as: ISBN13: 978-0073384214 ISBN10: 0073384216
Summary: Miller/O'Neill/Hyde continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning and Intermediate 2e. The practice of many instructors in the classroom is to present examples and have their students solve similar problems. This is realized through the Skill Practice Exercises that directly follow the examples in the textbook. Throughout the text, the authors have integrated many Study Tips and Avoiding Mistakes hints, which are reflecti...show moreve of the comments and instruction presented to students in the classroom. In this way, the text communicates to students, the very points their instructors are likely to make during lecture, helping to reinforce the concepts and provide instruction that leads students to mastery and success. The authors included in this edition, Problem-Recognition Exercises, that many instructors will likely identify to be similar to worksheets they have personally developed for distribution to students. The intent of the Problem-Recognition exercises, is to help students overcome what is sometimes a natural inclination toward applying problem-sovling algorithms that may not always be appropriate. In addition, the exercise sets have been revised to include even more core exercises than were present in the first edition. This permits instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills and develop the knowledge they need to make a successful transition into College Algebra. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class, as they do inside class with their instructor. For even more support, students have access to a wealth of supplements, including McGraw-Hill's online homework management system, MathZone cover 3rd Revised ed. Good in very good dust jacket. Sewn binding. Cloth over boards. Audience: General/trade. GOOD CLEAN USED BOOK WITH VERY LIGHT MOISTURE ON CORNER OF A FEW PAGES
$14.95 +$3.99 s/h
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omgtextbooks Pueblo West, CO
2010 Hard cover 3rd Revised ed. Good. Sewn binding.
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Balkanika Online WA Woodinville, WA
Hardcover Fine 0077350081 Like New Used Condition. STUDENT US EDITION. All pages are clean and intact. There is No highlighting or underlines
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Course Information
Seeing Math™: Proportional Reasoning
Course Description:
Discover techniques to successfully guide your students through the critical transition from elementary mathematics and computing to the more complex, proportional thinking of algebra. Adapt problems from your curriculum to different learning styles using graphing, multimedia technology, and other strategies. You will also become familiar with assessment techniques that distinguish between true proportional reasoning and the appearance of understanding.
Note: This is a facilitated course. Learners submit coursework and
participate in asynchronous discussions throughout the course term, and
receive graded feedback.
Classroom Link-Access to students recommended. PBS Classroom Link courses ask learners to implement lessons with their class or with a small group of students (options for learners without access to students are available).
The number of hours identified for each course reflects time spent online, but does not
reflect the total time spent completing offline coursework and assignments. All learners
are different and you will likely spend double the indicated number of hours completing all
coursework depending on your learning style and work habits.
Graduate Credit Information:
Graduate credit may be obtained from the provider(s) listed below, for an additional fee after the course begins.
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Thank you for your consideration. Algebra 1 is a textbook title or the name of a course, but it is not a subject. It is often the course where students become acquainted with symbolic manipulations of quantities.
| 677.169 | 1 |
...
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Methods with C# familiarizes you with:
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- The mathematical background and fundamentals of numerical methods.
- Math libraries for complex numbers and functions, real and complex vector and matrix operations, and special functions.
- Various numerical methods for solving linear and nonlinear equations.
- Numerical differentiation and integration.
- Interpolations and curve fitting.
- Optimization of single-variable and multi-variable functions with a variety of techniques, including advanced simulated annealing and evolutionary algorithms.
- Numerical techniques for solving ordinary differential equations.
- Numerical methods for solving boundary value problems.
- Eigenvalue problems.
In addition, this book provides testing examples for every math function and numerical method to show you how to use these functions and methods in your own .NET applications in a manageable and step-by-step fashion.
Please visit the author's website for more information about this book at drxudotnet
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0739835459","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":106.2,"ASIN":"0131283340","isPreorder":0}],"shippingId":"0739835459::nsTE4y06ZlsCPVsXzRQnwqvnXOH8G9QeEK5%2FSaWpeRhq854NItmqz7DdknR%2BkS658z3yLuyqRKlwhb1o4sLJB6C%2FzHNJM%2BIeajLkeVkH%2BGc%3D,0131283340::4V%2FJ74P2%2BvaPJ%2B%2B99kZY4J9DlD%2BqLBzPSwQQOfmeyNON2hsp7cLXPhDhv73Tgla2Mt1WH5zeRFmkTz1MrHSUMAiOkSVbleRSHG2aAWXKb this book in a remedial math class for the past two years, and it is very popular with my students.
Here's what you need to know: it covers everything from the most basic of processes (addition, etc.) to more advanced stuff like algebraic equations and the like. It is NOT meant to be a good substitute for an algebra class, and if you're hoping to be college level just because you worked through this book, think again. It will get you most of the way there so that you can begin a real algebra course, but it won't take you further than that.
It includes a pre- and post-test, as well as cumulative reviews. The explanations are basic and easy to understand, although there are a few I know I can explain far more simply.
It gives the reader a short practice to get used to the concepts, and it's good about building on skills so that you can continue applying what you just learned as the processes get more complex.
HOWEVER, it covers most topics VERY briefly; so if you don't get math at all, or you feel downright nauseous at the thought of doing math because you think it's the hardest thing on the planet, do not buy this book. You need something that will give you lots more practice.
Finally, if your weakness is algebra, then I recommend another book in this series that focuses on algebra far more completely.
If its been awhile since you have taken a math class then this is the book your looking for. I failed high school math classes because the teachers were terrible and never understood the problems. I picked up this book to take an entrance exam for a comm college and was blown away by the ease in which it was explained. I am now in my third year of engineering school and now do math for fun, if you can believe that. My saviour!
| 677.169 | 1 |
This text is intended for a broad audience as both an introduction to predictive models as well as a guide to applying them. Non-mathematical readers will appreciate the intuitive explanations of the techniques while an emphasis on problem-solving with real data across a wide variety of applications will aid practitioners who wish to extend their expertise.... more...
The basics of computer algebra and the language of Mathematica are described. This title will lead toward an understanding of Mathematica that allows the reader to solve problems in physics, mathematics, and chemistry. Mathematica is the most widely used system for doing mathematical calculations by computer, including symbolic and numeric calculations... more...
As one of the most popular software tools in the world, Microsoft Excel is used by business analysts across the globe to keep track of details, look deeply into the data that drives business, and provide managers with the information and insights they need to keep their companies moving forward. MICROSOFT EXCEL 2013 FOR THE BUSINESS ANALYST is an introduction... more...
This book is a tutorial guide for new users that aims to help you understand the basics of and become accomplished with the use of R for quantitative finance.If you are looking to use R to solve problems in quantitative finance, then this book is for you. A basic knowledge of financial theory is assumed, but familiarity with R is not required. With... more...
Python is a free and powerful tool which can be used to build a financial calculator and price options, and can also explain many trading strategies and test various hypotheses. In addition to that, real-world data can be used to run CAPM (Capital Asset Pricing Model), the Fama-French 3-factor model, estimate VaR (Value at Risk), and estimate spread,... more...
Intended to anyone interested in numerical computing and data science: students, researchers, teachers, engineers, analysts, hobbyists... Basic knowledge of Python/NumPy is recommended. Some skills in mathematics will help you understand the theory behind the computational methods. more...
This book describes and summarizes past work in important areas of combinatorics and computation, as well as gives directions for researchers working in these areas in the 21st century. It contains primarily survey papers and presents original research by Peter Fishburn, Jim Ho Kwak, Jaeun Lee, K H Kim, F W Roush and Susan Williams. The papers deal... more...
The Steiner tree problem is one of the most important combinatorial optimization problems. It has a long history that can be traced back to the famous mathematician Fermat (1601-1665). This book studies three significant breakthroughs on the Steiner tree problem that were achieved in the 1990s, and some important applications of Steiner tree problems... more...
| 677.169 | 1 |
MATH-80 PRE-ALGEBRA
3 units: 3 hours lecture.
Prerequisite: MATH-91. Advisories: ENGL-81, ENGL-81L.
The course begins with a brief review of the number system and operations on numbers, including whole numbers, decimals, and fractions. The course covers percents, ratios, proportions, measurements, exponents, square roots, simple geometry, the metric system, and an introduction to algebra. Written problems and applications will be stressed throughout the course. Scientific calculator skills are stressed in all areas. (5/01)
MATH-83 MATH FOR OCCUPATIONS AND TRADES
3 units: 3 hours lecture.
Prerequisite: MATH-91. Advisories: ENGL-81, ENGL-81L.
This course begins with a brief review of the number system and operations on numbers, including whole numbers, decimals, and fractions. The course covers percents, ratios, proportions measurements, exponents, square roots, simple geometry, the metric system, and an introduction to algebra. Written problems and specific applications to occupations and trades will be stressed throughout the course. Scientific calculator skills are stressed in all areas. (5/01)
MATH-89ABCD MATH LABORATORY
.5 - 2 units: 1.5 - 6 hours lab.
Advisory: MATH-90. (Note: The letter designation indicates unit value, ''A'' being for 0.5 unit, ''B'' for 1 unit, etc., in 0.5 unit increments.)
This course is a laboratory experience primarily to help students who have taken a math class but who still need additional work before they progress to the next math class. It is designed to provide individualized assistance to improve a student's deficient areas. The number of hours and the number of assignments vary based on the units enrolled in. Each letter (i.e., A, B, C, or D) may be taken only once. (4/04)
MATH-90 FUNDAMENTALS OF ARITHMETIC
3 units: 3 hours lecture.
Advisory: ENGL-90.
This is an intensive review of the whole number system, including counting, notation, word names, and the number line. Particular emphasis is placed on the basic computational skills: addition, subtraction, multiplication, and division. Written problems and life skills will be emphasized throughout the course. Calculator skills as they relate to whole numbers will be introduced. (5/01)
MATH-91 FUNDAMENTALS OF DECIMALS AND FRACTIONS
3 units: 3 hours lecture.
Prerequisite: MATH-90. Advisories: ENGL-80, ENGL-80L.
This course begins with a short review of the whole number system using basic computational skills. The course covers the meaning of decimals and fractions, and the four basic operations using them: addition, subtraction, multiplication, and division. Special emphasis will be placed on thought problems, including life skills. The course will conclude with an introduction to prime factoring, exponents, basic geometry, and order of operation. (5/01)
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This course is part two of a pre-calculus sequence that provides
exploration and application of rational and trigonometric functions and their
inverses modeled algebraically, numerically and graphically; trigonometric
identities and equations; vectors; parametric equations; and polar equations.
Real world applications are emphasized.
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Island, TX ACT interesting subject with a myriad of techniques for finding an answer. Math is progressive, that is one needs to have a firm grasp on previous math instruction in order to progress successfully in later math courses. This is especially true of calculus and its foundation of algebra
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Occidental Math...This may mean highlighting, taking notes, and or discussing orally. Utilizing one of the many outline formats or Cornell Notes helps to organize information and thoughts. Record keeping is very important for students to be able to keep on schedule with all assignments and learn what he or she can do independently, or where they need help.
...This course is a preparation for Calculus. It is intended to deepen conceptual understanding and technical skill. The student gains an appreciation for the power of mathematics to model the real-world.
...I I studied vecto...
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Wikipedia in English (2)
Jim Stewart, author of the worldwide, best-selling calculus texts, along with two of his former Ph.D. students, Lothar Redlin and Saleem Watson, collaborated in writing this text to address a problem they frequently saw in their calculus courses: many students were not prepared to think mathematically but attempted instead to memorize facts and mimic examples. College Algebra was written specifically to help students learn to think mathematically and to develop true problem-solving skills. Following the success of the most recent revision of Precalculus, the Third Edition shows how the authors have refined their approach to make it work even more effectively for today's students.
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Find a Gambrills Algebra 2Even though the subject may cover more or less of what is stated below it generally explores the following:
Algebra 1
Linear Equations and Inequalities in a Single Variable
Introduction to functions
Linear Equations and Inequalities in Two Variables
Systems of Equations and Inequalities
Data An...
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elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, providing an opportunity for readers to appreciate the unity of modern mathematics. It is suitable for those interested in learning about Diophantine equations and arithmetic geometry.Read more...
Reviews
Editorial reviews
Publisher Synopsis
From the reviews: "The authors' goal has been to write a textbook in a technically difficult field which is accessible to the average undergraduate mathematics major, and it seems that they have succeeded admirably..."--MATHEMATICAL REVIEWS "This is a very leisurely introduction to the theory of elliptic curves, concentrating on an algebraic and number-theoretic viewpoint. It is pitched at an undergraduate level and simplifies the work by proving the main theorems with additional hypotheses or by only proving special cases. ... The examples really pull together the material and make it clear. ... a great book for a first introduction to the subject of elliptic curves. ... very clearly written and you will understand a lot when you are done." (Allen Stenger, The Mathematical Association of America, August, 2008)Read more...
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Fundamentals ofFundamentals of Precalculus is designed to review the fundamental topics that are necessary for success in calculus. Containing only five chapters, this text can be covered in a one-semester or one-term course with a minimum of deleting or skipping around. A student who is well acquainted with the material in this text will have the necessary skills, understanding, and insights required in calculus.
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Introduction
In this unit we look at some different systems of numbers, and the rules for combining numbers in these systems. For each
system we consider the question of which elements have additive and/or multiplicative inverses in the system. We look at solving
certain equations in the system, such as linear, quadratic and other polynomial equations.
In Section 1 we start by revising the notation used for the rational numbers and the real numbers, and we list their arithmetical properties. You will meet other properties of these numbers in the analysis units, as the
study of real functions depends on properties of the real numbers. We note that some quadratic equations with rational coefficients,
such as x2 = 2, have solutions which are real but not rational.
In Section 2 we introduce the set of complex numbers. This system of numbers enables us to solve all polynomial equations, including those with no real solutions, such as x2 + 1 = 0. Just as real numbers correspond to points on the real line, so complex numbers correspond to points in a plane,
known as the complex plane.
In Section 3 we look further at some properties of the integers, and introduce modular arithmetic. This will be useful in the group theory units, as some sets of numbers with the operation of modular addition or modular
multiplication form groups.
In Section 4 we introduce the concept of a relation between elements of a set. This is a more general idea than that of a function, and leads us to a mathematical structure
known as an equivalence relation. An equivalence relation on a set classifies elements of the set, separating them into disjoint subsets called equivalence classes.
Learning Outcomes
After studying this unit you should be able to:
understand the arithmetical properties of the rational and real numbers;
understand the definition of a complex number;
perform arithmetical operations with complex numbers;
represent complex numbers as points in the complex plane;
determine the polar form of a complex number;
use de Moivre's Theorem to find the nth roots of a complex number and to find some trigonometric identities;
understand the definition of ez, where z is a complex variable;
explain the terms modular addition and modular multiplication;
use Euclid's Algorithm to find multiplicative inverses in modular arithmetic, where these exist;
explain the meanings of a relation defined on a set, an equivalence relation and a partition of a set;
determine whether a given relation defined on a given set is an equivalence relation by checking the reflexive, symmetric and transitive properties;
understand that an equivalence relation partitions a set into equivalence classes;
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Motivate Your Students! This easy-to-use workbook is chock full of stimulating activities that will jumpstart your students' interest in algebra while reinforcing the major algebra concepts. A variety of puzzles, mazes, and games will challenge students to think creatively as they sharpen their algebra skills. A special assessment section is also included to help prepare students for standardized tests
Dimensions:
Overall Product Weight: 0.1lbs
Milliken & Lorenz Educational PressAlgebra I Reproducible Book
Weights & Dimensions
Overall Product Weight: 0.1lbs
Features
Product Type: Hall Passes; Learning Tools
Subject: Math
Country of Manufacture: United States
About the Manufacturer
Every product created at Lorenz Educational Press is based on our commitment to support teachers providing a positive educational experience for students. We strive to produce products that embrace our mission to define learning areas vital to developing well-rounded students and empowering our future leaders.
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available to help.Whether you just want to buy a Milliken & Lorenz Educational Press Algebra I Reproducible Book
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SAT prep can be very easy or very difficult. It all depends on how you prepare. Many students make the mistake of spending countless hours preparing for the SAT with little to no results. This guide was written by Dr. Steve Warner, a math professor and test prep expert that has been giving SAT math prep advice for over 15 years.
This eBook introduces the subject of number patterns and sequences at Key Stage 2 (KS2), and introduces odd and even numbers, square numbers, square roots, factors, prime numbers, multiples, simple sequences and special sequences (including square number sequences, the Fibonacci series and triangular numbers).This eBook introduces the significant scientific notation of the very large, the intermediate and the very small in terms of numbers and algebra through an exploration of and application of standard index formThis eBook is a mental math book, covering Grades 1 & 2 subjects of counting, addition and subtraction as well as multiplication and division. It provides a series of practice tests in which the student performs a series of calculations, mentally, without the aid of a calculator. It is expected that by the end of Grades 1 & 2 that the student is proficient in generating accurate answers.
Decimals considers the significance of the position of the decimal point, compares & converts 'fractions-decimals-percentages', considers 'multiplying & dividing' decimals by 10 and 100, rounds decimals to the nearest whole number, tenth, or hundredth, considers 'less than', 'greater than' and '=' signs in arithmetic and walks the student through the addition and subtraction methods with decimals.
Loci, Constructions and 3D Co-ordinates is an introductory text on loci and their characteristics, constructing triangles, the bisector of a line and the perpendicular bisector of a line as well as using 3D co-ordinates.
This eBook introduces the subject of counting and the practice of counting, numbers from 0 to 999, place value, number lines, counting on and back, odd and even numbers, comparing and ordering, rounding, estimating, addition, subtraction, problem solving and using money.
Practice adding and subtracting 4th grade students.
This eBook introduces the subject of logarithms and exponentials, from the basic definition of logarithm, through the laws of logarithms, undertaking an assessment and an appreciation of exponential graphs, looking at the linear form of exponentials interspersed with a series of questions and worked examples.
Practice and hone important multiplication skills with this first book. Select one of twenty math problems with complete solutions that educate the student in the multiplication process. The book also includes four bonus word problems with complete explanations and answers. Easily navigate the links from the problem list to view the solution. Most appropriate for 3rd grade students.
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Discrete Mathematics
9780131593183
ISBN:
0131593188
Edition: 7 Pub Date: 2008 Publisher: Prentice Hall
Summary: This textbook provides an accessible introduction to discrete mathematics, using an algorithmic approach that focuses on problem-solving techniques. Each chapter has a special section dedicated to showing students how to attack and solve problems.
Johnsonbaugh, Richard is the author of Discrete Mathematics, published 2008 under ISBN 9780131593183 and 0131593188. Five hundred twenty four Discrete Mathematics ...textbooks are available for sale on ValoreBooks.com, sixty three used from the cheapest price of $85.95, or buy new starting at $157.43
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Find a SunolNot being ready, students can't study calculus successfully. Therefore, in Precalculus, students will be introduced to the important and basic mathematical concepts inquired before in algebra with deeper and higher details. They comprise, but not limited in, inequalities, equations, absolute values, and graphs of lines and circles
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