Precalculus With Unit Circle Trigonometry

ISBN-10: 0534402305
ISBN-13: 9780534402303
Edition: 4th 2006 (Revised)
Authors: David Cohen
List price: $229.95 Buy it from $10.31
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Description: 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  More...

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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: 5.302
Language: English

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 teach the course with as much or as little graphing utility work as he/she wishes.

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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