College Algebra Building Concepts and Connections

ISBN-10: 0618260358
ISBN-13: 9780618260355
Edition: 2009
List price: $204.95 Buy it from $2.00
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Description: Based on years of experience teaching and writing supplemental materials for more traditional precalculus texts, Reva Narasimhan takes a functions-focused approach to teaching and learning algebra and trigonometry concepts. This new series builds up  More...

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Book details

List price: $204.95
Copyright year: 2009
Publisher: CENGAGE Learning
Publication date: 7/1/2008
Binding: Hardcover
Pages: 832
Size: 8.75" wide x 10.50" long x 1.00" tall
Weight: 4.598
Language: English

Based on years of experience teaching and writing supplemental materials for more traditional precalculus texts, Reva Narasimhan takes a functions-focused approach to teaching and learning algebra and trigonometry concepts. This new series builds up relevant concepts using functions as a unifying theme, repeating and expanding on connections to basic functions.Visualization and analysis motivate the functions-based approach, enabling students to better retain the material for use in later calculus courses.

Revathi Narasimhan received her Ph.D. in Applied Mathematics from the University of Maryland at College Park. She grew up in Mesa, Arizona and received her undergraduate degree at Arizona State University. She is currently on the faculty of the Mathematics Department at Kean University in Union, New Jersey.Professionally trained to apply the principles of analysis and algebra, she is keen on helping her students understand the "big picture" concepts in mathematics, whether at the graduate or at the undergraduate level. In addition to this textbook, she has written scholarly articles for academic journals and has written technology supplements for other textbooks. She and her husband, a research microbiologist, have two sons. Reva likes to garden and sew, and is an avid reader.

Note: Each chapter concludes with a Chapter Summary, Review Exercises, and a Chapter Test
Algebra and Geometry Review
The Real Number System
Integer Exponents and Scientific Notation
Roots, Radicals, and Rational Exponents
Polynomials
Factoring
Rational Expressions
Geometry Review
Solving Basic Equations
Functions, Graphs, and Applications
Functions
Graphs of Functions
Linear Functions
Modeling with Linear Functions; Variation
Intersections of Lines and Linear Inequalities
More About Functions and Equations
Coordinate Geometry: Distance, Midpoints, and Circles
The Algebra of Functions
Transformations of the Graph of a Function
Symmetry and Other Properties of Functions
Equations and Inequalities Involving Absolute Value
Piecewise-Defined Functions
Quadratic Functions
Graphs of Quadratic Functions
Quadratic Equations
Complex Numbers and Quadratic Equations
Quadratic Inequalities
Equations That Are Reducible to Quadratic Form; Rational and Radical Equations
Polynomial and Rational Functions
Graphs of Polynomial Functions
More on Graphs of Polynomial Functions and Models
Division of Polynomials; The Remainder and Factor Theorems
Real Zeros of Polynomials; Solutions of Equations
The Fundamental Theorem of Algebra; Complex Zeros
Rational Functions
Polynomial and Rational Inequalities
Exponential and Logarithmic Functions
Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Equations
Exponential, Logistic, and Logarithmic Models
Systems of Equations and Inequalities
Systems of Linear Equations and Inequalities in Two Variables
Systems of Linear Equations in Three Variables
Solving Systems of Equations Using Matrices
Operations on Matrices
Matrices and Inverses
Determinants and Cramer's Rule
Partial Fractions
Systems of Nonlinear Equations
Conic Sections
The Parabola
The Ellipse
The Hyperbola
More Topics in Algebra
Sequences
Sums of Terms of Sequences
General Sequences and Series
Counting Methods
Probability
The Binomial Theorem
Mathematical Induction
Keystroke Guide for the TI-83/84 Calculator Series
Keys on Your Calculator
Getting Started
Editing and Deleting
Entering and Evaluating Common Expressions
Evaluating and Evaluating Functions
Building a Table
Graphing Linear, Quadratic, and Piecewise-Defined Functions
Graphing Polynomials, Rational Functions, and Inequalities
Solving Equations
Finding the Maximum and Minimum of a function
Complex Numbers
Fitting Curves to Data (Regression)
Matrices
Sequences and Series

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