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Precalculus

by
Edition:
7th
ISBN13:

9780618643448

ISBN10:
0618643443
Format:
Hardcover
Pub. Date:
1/26/2006
Publisher(s):
Cengage High School
List Price: $322.33

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Summary

This market-leading text continues to provide both students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a one- or two-term course that prepares students to study calculus, the new Seventh Edition retains the features that have made Precalculus a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises. New! Side-by-side Example Solutions for select examples include multiple problem solving approaches--such as algebraic, graphical, and numerical--to appeal to a variety of teaching and learning styles. New! Checkpoints after each Example/Solution refer students to similar drills in the Section Exercises, allowing students to practice and reinforce the concepts they just learned. Answers to Checkpoints are included at the back of the book. New! Vocabulary Checks open every set of Section Exercises. This review of mathematical terms, formulas, and theorems provides regular assessment and reinforcement of students' understanding of algebraic language and concepts. Exercise Sets have been carefully analyzed and revised to improve the categorization of problems from basic skill-building to challenging; improve the pairing of similar odd- and even-numbered exercises; update all real data; and add real-life and real-data applications. New! Make a Decision applications--presented throughout the text at the end of selected exercise sets--are based on large sets of real data. These extended modeling applications give students the opportunity to use all the mathematical concepts and techniques they've learned and apply them to large sets of real date--analyzing it, graphing it, and making conjectures about its behavior. These applications are featured in Eduspace and the Online Learning Center in an interactive format. Eduspace, powered by Blackboard, Houghton Mifflin's online learning environment, brings your students quality online homework, tutorials, multimedia, and testing that correspond to the College Algebra text. This content is paired with the recognized course management tools of Blackboard. For copyright 2007, two titles have been added to the Precalculus Series: Precalculus with Limits and Precalculus: A Concise Course. These titles enhance the scope of the series, making it even more flexible and adaptable to a variety of learning and teaching styles.

Table of Contents

Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, Proofs in Mathematics, and P.S. Problem Solving
Functions and Their Graphs
Rectangular Coordinates
Graphs of Equations
Linear Equations in Two Variables
Functions
Analyzing Graphs of Functions
A Library of Parent Functions
Transformations of Functions
Combinations of Functions: Composite Functions
Inverse Functions
Mathematical Modeling and Variation
Polynomial and Rational Functions
Quadratic Functions and Models
Polynomial Functions of Higher Degree
Polynomial and Synthetic Division
Complex Numbers
Zeros of Polynomial Functions
Rational Functions
Nonlinear Inequalities
Exponential and Logarithmic Functions
Exponential Functions and Their Graphs
Logarithmic Functions and Their Graphs
Properties of Logarithms
Exponential and Logarithmic Equations
Exponential and Logarithmic Models Cumulative Test: Chapters 13
Trigonometry
Radian and Degree Measure
Trigonometric Functions: The Unit Circle
Right Triangle Trigonometry
Trigonometric Functions of Any Angle
Graphs of Sine and Cosine Functions
Graphs of Other Trigonometric Functions
Inverse Trigonometric Functions
Applications and Models
Analytic Trigonometry
Using Fundamental Identities
Verifying Trigonometric Identities
Solving Trigonometric Equations
Sum and Difference Formulas
Multiple-Angle and Product-to-Sum Formulas
Additional Topics in Trigonometery
Law of Sines
Law of Cosines
Vectors in the Plane
Vectors and Dot Products
Trigonometric Form of a Complex Number Cumulative Test: Chapters 46
Systems of Equations and Inequalities
Linear and Nonlinear Systems of Equations
Two-Variable Linear Systems
Multivariable Linear Systems
Partial Fractions
Systems of Inequalities
Linear Programming
Matrices and Determinants
Matrices and Systems of Equations
Operations with Matrices
The Inverse of a Square Matrix
The Determinant of a Square Matrix
Applications of Matrices and Determinants
Sequences, Series, and Probability
Sequences and Series
Arithmetic Sequences and Partial Sums
Geometric Sequences and Series
Mathematical Induction
The Binomial Theorem
Counting Principles
Probability Cumulative Test: Chapters 79
Topics in Analytic Geometry
Lines
Introduction to Conics: Parabolas
Ellipses
Hyperbolas
Rotation of Conics
Parametric Equations
Polar Coordinates
Graphs of Polar Equations
Polar Equations of Conics
Analytic Geometry in Three Dimensions
The Three-Dimensional Coordinate System
Vectors in Space
The Cross Product of Two Vectors
Lines and Planes in Space
Limits and an Introduction to Calculus
Introduction to Limits
Techniques for Evaluating Limits
The Tangent Line Problem
Limits at Infinity and Limits of Sequences
The Area Problem Cumulative Test: Chapters 1012
Appendix
Review of Fundamental Concepts of Algebra
Real Numbers and Their Properties
Exponents and Radicals
Polynomials and Factoring
Rational Expressions
Solving Equations
Linear Inequalities in One Variable
Errors and the Algebra of Calculus
Appendix
Concepts in Statistics (web)
Representing Data
Measures of Central Tendency and Dispersion
Least Squares Regression
Table of Contents provided by Publisher. All Rights Reserved.


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