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Precalculus : A Problems-Oriented Approach,9780314069214
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Precalculus : A Problems-Oriented Approach

by
Edition:
5th
ISBN13:

9780314069214

ISBN10:
0314069216
Format:
Paperback
Pub. Date:
8/1/1996
Publisher(s):
Brooks Cole
List Price: $86.66

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This is the 5th edition with a publication date of 8/1/1996.
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Summary

Precalculus: A Problems-Oriented Approach offers a fairly rigorous lead-in to calculus using the right triangle approach to trigonometry. A graphical perspective gives students a visual understanding of concepts. The text may be used with any graphing utility, or with none at all, with equal ease. Modeling provides students with real-world connections to the problems. The author is know for his clear writing style and numerous quality exercises and applications.

Table of Contents

Algebra Background for Precalculus
1(34)
Sets of Real Numbers
1(5)
Absolute Value
6(5)
Polynomials and Factoring
11(9)
Quadratic Equations
20(15)
Coordinates, Graphs, and Inequalities
35(66)
Rectangular Coordinates
35(12)
Graphs and Equations, A Second Look
47(10)
Equations of Lines
57(12)
Symmetry and Graphs
69(8)
Inequalities
77(8)
More on Inequalities
85(16)
Functions
101(74)
The Definition of a Function
101(12)
The Graph of a Function
113(17)
Techniques in Graphing
130(12)
Methods of Combining Functions. Iteration
142(12)
Inverse Functions
154(21)
Polynomial and Rational Functions. Applications to Iteration and Optimization
175(95)
Linear Functions
175(14)
Quadratic Functions
189(9)
More on Iteration. Quadratics and Population Growth
198(17)
Applied Functions: Setting up Equations
215(12)
Maximum and Minimum Problems
227(11)
Polynomial Functions
238(13)
Rational Functions
251(19)
Exponential and Logarithmic Functions
270(87)
Exponential Functions
271(9)
The Exponential Function y = ex
280(9)
Logarithmic Functions
289(12)
Properties of Logarithms
301(9)
Equations and Inequalities with Logs and Exponents
310(11)
Compound Interest
321(11)
Exponential Growth and Decay
332(25)
Trigonometric Functions of Angles
357(51)
Trigonometric Functions of Acute Angles
357(10)
Algebra and the Trigonometric Functions
367(7)
Right-Triangle Applications
374(9)
Trigonometric Functions of Angles
383(12)
Trigonometric Identities
395(13)
Trigonometric Functions of Real Numbers
408(75)
Radian Measure
408(9)
Radian Measure and Geometry
417(10)
Trigonometric Functions of Real Numbers
427(11)
Graphs of the Sine and the Cosine Functions
438(16)
Graphs of y = A sin(Bx - C) and y = A cos(Bx - C)
454(8)
Simple Harmonic Motion
462(5)
Graphs of the Tangent and the Reciprocal Functions
467(16)
Analytical Trigonometry
483(55)
The Addition Formulas
483(9)
The Double-Angle Formulas
492(10)
The Product-to-Sum and Sum-to-Product Formulas
502(5)
Trigonometric Equations
507(11)
The Inverse Trigonometric Functions
518(20)
Additional Topics in Trigonometry
538(62)
The Law of Sines and the Law of Cosines
538(15)
Vectors in the Plane, A Geometric Approach
553(7)
Vectors in the Plane, An Algebraic Approach
560(8)
Parametric Equations
568(8)
Introduction to Polar Coordinates
576(9)
Curves in Polar Coordinates
585(15)
Systems of Equations
600(72)
Systems of Two Linear Equations in Two Unknowns
600(11)
Gaussian Elimination
611(8)
Matrices
619(12)
The Inverse of a Square Matrix
631(7)
Determinants and Cramer's Rule
638(13)
Nonlinear Systems of Equations
651(7)
Systems of Inequalities
658(14)
Analytic Geometry
672(80)
The Basic Equations
672(9)
The Parabola
681(11)
Tangents to Parabolas (Optional)
692(3)
The Ellipse
695(15)
The Hyperbola
710(11)
The Focus-Directrix Property of Conics
721(9)
The Conics in Polar Coordinates
730(6)
Rotation of Axes
736(16)
Roots of Polynomial Equations
752(70)
The Complex Number System
752(8)
Division of Polynomials
760(7)
Roots of Polynomial Equations: The Remainder Theorem and the Factor Theorem
767(8)
The Fundamental Theorem of Algebra
775(9)
Rational and Irrational Roots
784(8)
Conjugate Roots and Descartes's Rule of Signs
792(6)
Introduction to Partial Fractions
798(7)
More About Partial Fractions
805(17)
Additional Topics
822(33)
Mathematical Induction
822(6)
The Binomial Theorem
828(10)
Introduction to Sequences and Series
838(7)
Arithmetic Sequences and Series
845(5)
Geometric Sequences and Series
850(5)
DeMoivre's Theorem
855
APPENDIXES A-1
A.1 Using a Graphing Utility
A-3
A.2 Significant Digits and Calculators
A-7
A.3 Properties of the Real Numbers
A-11
A.4 √2 Is Irrational
A-18
A.5 Review of Integer Exponents and n th Roots
A-19
A.6 Review of Rational Exponents
A-26
TABLES A-29
1 Exponential Functions
A-30
2 Logarithms to the Base Ten
A-31
3 Natural Logarithms
A-33
4 Values of Trigonometric Functions
A-34
Answers to Selected Exercises A-41
Index I-1


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