9780534402129

Precalculus A Problems-Oriented Approach (with CD-ROM and iLrn™ Tutorial)

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  • ISBN13:

    9780534402129

  • ISBN10:

    0534402127

  • Edition: 6th
  • Format: Hardcover
  • Copyright: 12/14/2004
  • Publisher: Cengage Learning
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Summary

Get a good grade in your precalculus course with Cohen's PRECALCULUS: A PROBLEMS-ORIENTED APPROACH and it's accompanying CD-ROM! Written in a clear, student-friendly style and providing a graphical perspective so you can develop a visual understanding of college algebra and trigonometry, this text provides you with the tools you need to be successful in this course. Preparing for exams is made easy with iLrn, an online tutorial resource, that gives you access to text-specific tutorials, step-by-step explanations, exercises, quizzes, and one-on-one online help from a tutor. Examples, exercises, applications, and real-life data found throughout the text will help you become a successful mathematics student!

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)
Trigonometric Functions of Angles
423(64)
Trigonometric Functions of Acute Angles
423(14)
Algebra and the Trigonometric Functions
437(8)
Right-Triangle Applications
445(14)
Trigonometric Functions of Angles
459(13)
Trigonometric Identities
472(15)
Trigonometric Functions of Real Numbers
487(90)
Radian Measure
487(9)
Radian Measure and Geometry
496(10)
Trigonometric Functions of Real Numbers
506(15)
Graphs of the Sine and Cosine Functions
521(17)
Graphs of y = A sin(Bx -- C) and y = A cos(Bx -- C)
538(16)
Simple Harmonic Motion
554(6)
Graphs of the Tangent and the Reciprocal Functions
560(17)
Analytical Trigonometry
577(68)
The Addition Formulas
577(12)
The Double-Angle Formulas
589(10)
The Product-to-Sum and Sum-to-Product Formulas
599(8)
Trigonometric Equations
607(12)
The Inverse Trigonometric Functions
619(26)
Additional Topics in Trigonometry
645(76)
The Law of Sines and the Law of Cosines
645(16)
Vectors in the Plane: A Geometric Approach
661(10)
Vectors in the Plane: An Algebraic Approach
671(13)
Parametric Equations
684(10)
Introduction to Polar Coordinates
694(11)
Curves in Polar Coordinates
705(16)
Systems of Equations
721(88)
Systems of Two Linear Equations in Two Unknowns
721(14)
Gaussian Elimination
735(14)
Matrices
749(14)
The Inverse of a Square Matrix
763(13)
Determinants and Cramer's Rule
776(13)
Nonlinear Systems of Equations
789(8)
Systems of Inequalities
797(12)
The Conic Sections
809(81)
The Basic Equations
809(8)
The Parabola
817(14)
Tangents to Parabolas (Optional Section)
831(2)
The Ellipse
833(15)
The Hyperbola
848(11)
The Focus--Directrix Property of Conics
859(8)
The Conics in Polar Coordinates
867(5)
Rotation of Axes
872(18)
Roots of Polynomial Equations
890(75)
The Complex Number System
891(7)
Division of Polynomials
898(7)
The Remainder Theorem and the Factor Theorem
905(9)
The Fundamental Theorem of Algebra
914(12)
Rational and Irrational Roots
926(8)
Conjugate Roots and Descartes's Rule of Signs
934(7)
Introduction to Partial Fractions
941(7)
More About Partial Fractions
948(17)
Additional Topics in Algebra
965
Mathematical Induction
965(6)
The Binomial Theorem
971(10)
Introduction to Sequences and Series
981(10)
Arithmetic Sequences and Series
991(11)
Geometric Sequences and Series
1002(5)
DeMoivre's Theorem
1007
A Appendix
1(7)
A.1 Significant Digits
1(3)
A.2 Properties of the Real Numbers
4(3)
A.3 √2 is Irrational
7(1)
B Appendix
8(29)
B.1 Review of Integer Exponents
8(6)
B.2 Review of nth Roots
14(7)
B.3 Review of Rational Exponents
21(4)
B.4 Review of Factoring
25(6)
B.5 Review of Fractional Expressions
31(6)
Answers 37
Index 1

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