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Precalculus : Functions and Graphs,9780201611366
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Precalculus : Functions and Graphs

by ; ; ;
Edition:
4th
ISBN13:

9780201611366

ISBN10:
0201611368
Format:
Hardcover
Pub. Date:
1/1/2001
Publisher(s):
Addison Wesley
List Price: $115.00

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Summary

This text, intended for a graphing calculator required precalculus course, shows students when and how to use concepts, and promotes real understanding not just rote memorization. In addition, the graphing calculator is used as a tool to help explain ideas rather than merely to find answers. The book reflects AMATYC, MAA, and NCTM guidelines, and makes use of real world data in presenting a balanced algebraic and graphical approach to understanding precalculus concepts. The result is a thorough preparation for the calculus course.

Table of Contents

Prerequisites
Real Numbers
1(10)
Cartesian Coordinate System
11(8)
Linear Equations and Inequalities
19(7)
Lines in the Plane
26(12)
Solving Equations Graphically, Numerically and Algebraically
38(10)
Solving Inequalities Algebraically and Graphically
48(13)
Key Ideas
55(2)
Review Exercises
57(4)
Functions and Graphs
Modeling and Equation Solving
61(17)
Functions and Their Properties
78(21)
Ten Basic Functions
99(8)
Building Functions from Functions
107(18)
Graphical Transformations
125(10)
Modeling with Functions
135(20)
Math at Work
147(1)
Key Ideas
148(2)
Review Exercises
150(3)
Chapter Project
153(2)
Polynomial, Power and Rational Functions
Linear and Quadratic Functions with Modeling
155(19)
Power Functions with Modeling
174(12)
Polynomial Functions of Higher Degree with Modeling
186(13)
Real Zeros of Polynomial Functions
199(13)
Complex Numbers
212(8)
Complex Zeros and the Fundamental Theorem of Algebra
220(7)
Rational Functions and Equations
227(12)
Solving Inequalities in One Variable
239(20)
Math at Work
249(1)
Key Ideas
249(4)
Review Exercises
253(4)
Chapter Project
257(2)
Exponential, Logistic, and Logarithmic Functions
Exponential and Logistic Functions
259(13)
Exponential and Logistic Modeling
272(10)
Logarithmic Functions and Their Graphs
282(11)
Properties of Logarithmic Functions
293(9)
Equation Solving and Modeling
302(13)
Mathematics of Finance
315(22)
Key Ideas
327(4)
Review Exercises
331(4)
Chapter Project
335(2)
Trigonometric Functions
Angles and Their Measures
337(8)
Trigonometric functions of Acute Angles
345(10)
Trigonometry Extended: The Circular Functions
355(13)
Graphs of Sine and Cosine: Sinusoids
368(11)
Graphs of Tangent, Cotangent, Secant, and Cosecant
379(8)
Graphs of Composite Trigonometric Functions
387(7)
Inverse Trigonometric Functions
394(10)
Solving Problems with Trigonometry
404(19)
Key Ideas
416(2)
Review Exercises
418(3)
Chapter Project
421(2)
Analytic Trigonometry
Fundamental Identities
423(9)
Proving Trigonometric Identities
432(7)
Sum and Difference Identities
439(7)
Multiple-Angle Identities
446(7)
Law of Sines
453(8)
Law of Cosines
461(18)
Math at Work
471(1)
Key Ideas
471(2)
Review Exercises
473(4)
Chapter Project
477(2)
Vectors, Parametric Equations, and Polar Equations
Vectors in the Plane
479(11)
Dot Products of Vectors
490(7)
Parametric Equations and Motion
497(13)
Polar Coordinates
510(7)
Graphs of Polar Equations
517(8)
De Moivre's Theorem and nth Roots
525(18)
Key Ideas
534(3)
Review Exercises
537(3)
Chapter Project
540(3)
Systems and Matrices
Solving Systems of Two Equations
543(9)
Matrix Algebra
552(15)
Multivariate Linear Systems and Row Operations
567(13)
Partial Fractions
580(7)
Systems of Inequalities in Two Variables
587(16)
Math at Work
595(1)
Key Ideas
595(2)
Review Exercises
597(4)
Chapter Project
601(2)
Analytic Geometry in Two and Three Dimensions
Conic Sections and Parabolas
603(11)
Ellipses
614(10)
Hyperbolas
624(11)
Translations and Rotations of Axes
635(7)
Polar Equations of Conics
642(9)
Three Dimensional Cartesian Coordinate System
651(18)
Key Ideas
661(3)
Review Exercises
664(2)
Chapter Project
666(3)
Discrete Mathematics
Basic Combinatorics
669(9)
The Binomial Theorem
678(5)
Probability
683(13)
Sequences and Series
696(15)
Mathematical Induction
711(6)
Statistics and Data (Graphical)
717(13)
Statistics and Data (Algebraic)
730(23)
Math at Work
744(1)
Key Ideas
744(3)
Review Exercises
747(4)
Chapter Project
751(2)
An Introduction to Calculus: Limits, Derivatives, and Integrals
Limits and Motion: The Tangent Problem
753(10)
Limits and Motion: The Area Problem
763(8)
More on Limits
771(13)
Numerical Derivatives and Integrals
784(13)
Key Ideas
791(3)
Review Exercises
794(2)
Chapter Project
796(1)
Appendix A: Algebra Review 797(18)
A.1 Radicals and Rational Exponents
797(5)
A.2 Polynomials and Factoring
802(6)
A.3 Fractional Expressions
808(7)
Glossary 815(16)
Selected Answers 831(114)
Applications Index 945(4)
Index 949


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