9780534402303

Precalculus With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM)

by
  • ISBN13:

    9780534402303

  • ISBN10:

    0534402305

  • Edition: 4th
  • Format: Hardcover
  • Copyright: 3/21/2005
  • Publisher: Cengage Learning

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Summary

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.

Table of Contents

Fundamentals
1(79)
Sets of Real Numbers
1(5)
Absolute Value
6(4)
Solving Equations (Review and Preview)
10(8)
Rectangular Coordinates. Visualizing Data
18(14)
Graphs and Graphing Utilities
32(11)
Equations of Lines
43(14)
Symmetry and Graphs. Circles
57(23)
Equations and Inequalities
80(49)
Quadratic Equations: Theory and Examples
80(11)
Other Types of Equations
91(12)
Inequalities
103(10)
More on Inequalities
113(16)
Functions
129(84)
The Definition of a Function
129(16)
The Graph of a Function
145(14)
Shapes of Graphs. Average Rate of Change
159(12)
Techniques in Graphing
171(11)
Methods of Combining Functions. Iteration
182(12)
Inverse Functions
194(19)
Polynomial and Rational Functions. Applications to Optimization
213(112)
Linear Functions
213(16)
Quadratic Functions
229(17)
Using Iteration to Model Population Growth (Optional Section)
246(14)
Setting Up Equations That Define Functions
260(12)
Maximum and Minimum Problems
272(15)
Polynomial Functions
287(17)
Rational Functions
304(21)
Exponential and Logarithmic Functions
325(98)
Exponential Functions
327(9)
The Exponential Function y = ex
336(11)
Logarithmic Functions
347(14)
Properties of Logarithms
361(10)
Equations and Inequalities with Logs and Exponents
371(11)
Compound Interest
382(12)
Exponential Growth and Decay
394(29)
The Trigonometric Functions
423(72)
Radian Measure
423(14)
Trigonometric Functions of Angles
437(11)
Evaluating the Trigonometric Functions
448(12)
Algebra and the Trigonometric Functions
460(10)
Right-Triangle Trigonometry
470(25)
Graphs of the Trigonometric Functions
495(68)
Trigonometric Functions of Real Numbers
496(12)
Graphs of the Sine and Cosine Functions
508(17)
Graphs of y = A sin(Bx--C) and y = A cos(Bx--C)
525(16)
Simple Harmonic Motion
541(6)
Graphs of the Tangent and the Reciprocal Functions
547(16)
Analytical Trigonometry
563(70)
The Addition Formulas
563(12)
The Double-Angle Formulas
575(10)
The Product-to-Sum and Sum-to-Product Formulas
585(8)
Trigonometric Equations
593(14)
The Inverse Trigonometric Functions
607(26)
Additional Topics in Trigonometry
633(96)
Right-Triangle Applications
633(18)
The Law of Sines and the Law of Cosines
651(16)
Vectors in the Plane: A Geometric Approach
667(10)
Vectors in the Plane: An Algebraic Approach
677(13)
Parametric Equations
690(10)
Introduction to Polar Coordinates
700(11)
Curves in Polar Coordinates
711(18)
Systems of Equations
729(88)
Systems of Two Linear Equations in Two Unknowns
729(14)
Gaussian Elimination
743(14)
Matrices
757(14)
The Inverse of a Square Matrix
771(13)
Determinants and Cramer's Rule
784(13)
Nonlinear Systems of Equations
797(8)
Systems of Inequalities
805(12)
The Conic Sections
817(81)
The Basic Equations
817(8)
The Parabola
825(14)
Tangents to Parabolas (Optional Section)
839(2)
The Ellipse
841(15)
The Hyperbola
856(11)
The Focus-Directrix Property of Conics
867(8)
The Conics in Polar Coordinates
875(5)
Rotation of Axes
880(18)
Roots of Polynomial Equations
898(75)
The Complex Number System
899(7)
Division of Polynomials
906(7)
The Remainder Theorem and the Factor Theorem
913(9)
The Fundamental Theorem of Algebra
922(12)
Rational and Irrational Roots
934(8)
Conjugate Roots and Descartes's Rule of Signs
942(7)
Introduction to Partial Fractions
949(7)
More About Partial Fractions
956(17)
Additional Topics in Algebra
973
Mathematical Induction
973(6)
The Binomial Theorem
979(10)
Introduction to Sequences and Series
989(11)
Arithmetic Sequences and Series
1000(10)
Geometric Sequences and Series
1010(5)
DeMoivre's Theorem
1015
A Appendix
1(7)
Significant Digits
1(3)
Properties of the Real Numbers
4(3)
√2 is Irrational
7(1)
B Appendix
8(29)
Review of Integer Exponents
8(6)
Review of nth Roots
14(7)
Review of Rational Exponents
21(4)
Review of Factoring
25(6)
Review of Fractional Expressions
31(6)
Answers 37
Index 1

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