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David Cohen's PRECALCULUS, WITH UNIT-CIRCLE TRIGONOMETRY, Fourth Edition, focuses on teaching mathematics, using a graphical perspective throughout to provide a visual understanding of college algebra and trigonometry. The author is known for his clear writing style and the numerous quality exercises and applications he includes in his respected texts. In this new edition, graphs, visualization of data, and functions are now introduced much earlier and receive greater emphasis. Many sections now contain more examples and exercises involving applications and real-life data. While this edition takes the existence of the graphing calculator for granted, the material is arranged so that one can… More teach the course with as much or as little graphing utility work as he/she wishes.Less

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Book details

List price: $229.95 Edition: 4th Copyright year: 2006 Publisher: Brooks/Cole Publication date: 3/21/2005 Binding: Hardcover Pages: 1200 Size: 8.00" wide x 10.00" long x 1.75" tall Weight: 4.840 Language: English

AuthorTable of Contents

David Cohen is a British joutnalist who has written for The Independent, The Guardian, and British GQ, as well as The New York Times. In 1997, he was the recipient of a harkness fellowship hosted by Columbia University, which enabled him to write this book. He lives in london with his wife and two daughters.

Fundamentals

Sets of Real Numbers

Absolute Value

Solving Equations (Review and Preview)

Rectangular Coordinates

Visualizing Data

Graphs and Graphing Utilities

Equations of Lines

Symmetry and Graphs

Circles

Equations and Inequalities

Quadratic Equations: Theory and Examples

Other Types of Equations

Inequalities

More on Inequalities

Functions

The Definition of a Function

The Graph of a Function

Shapes of Graphs

Average Rate of Change

Techniques in Graphing

Methods of Combining Function

Iteration

Inverse Functions

Polynomial and Rational Functions

Applications To Optimization

Linear Functions

Quadratic Functions

Using Iteration to Model Population Growth (Optional Section)

Setting up Equations That Define Functions

Maximum and Minimum Problems

Polynomial Functions

Rational Functions

Exponential And Logarithmic Functions

Exponential Functions

The Exponential Function y = ex

Logarithmic Functions

Properties of Logarithms

Equations and Inequalities with Logs and Exponents

Compound Interest

Exponential Growth and Decay

The Trigonometric Functions

Radian Measure

Trigonometric Functions of Angles

Evaluating the Trigonometric Functions

Algebra and the Trigonometric Functions

Right-Triangle Trigonometry

Graphs Of The Trigonometric Functions

Trigonometric Functions of Real Numbers

Graphs of the Sine and the Cosine Functions

Graphs of y = A sin(Bx-C) and y = A cos(Bx - C)

Simple Harmonic Motion

Graphs of the Tangent and the Reciprocal Functions

Analytical Trigonometry

The Addition Formulas

The Double-Angle Formulas

The Product-to-Sum and Sum-to-Product Formulas

Trigonometric Equations

The Inverse Trigonometric Functions

Additional Topics In Trigonometry

Right-Triangle Applications

The Law of Sines and the Law of Cosines

Vectors in the Plane, a Geometric Approach

Vectors in the Plane, an Algebraic Approach

Parametric Equations

Introduction to Polar Coordinates

Curves in Polar Coordinates

Systems Of Equations

Systems of Two Linear Equations in Two Unknowns

Gaussian Elimination

Matrices

The Inverse of a Square Matrix

Determinants and Cramer's Rule

Nonlinear Systems of Equations

Systems of Inequalities

Analytic Geometry

The Basic Equations

The Parabola

Tangents to Parabolas (Optional)

The Ellipse

The Hyperbola

The Focus-Directrix Property of Conics

The Conics in Polar Coordinates

Rotation of Axes

Roots Of Polynomial Equations

The Complex Number System

Division of Polynomials

Roots of Polynomial Equations: The Remainder Theorem and the Factor Theorem

The Fundamental Theorem of Algebra

Rational and Irrational Roots

Conjugate Roots and Descartes' Rule of Signs

Introduction to Partial Fractions

More About Partial Fractions

Additional Topics

Mathematical Induction

The Binomial Theorem

Introduction to Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

DeMoivre's Theorem

Using a Graphing Utility

Significant Digits and Calculators

Tables

Answers to Selected Exercises

Index

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