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Precalculus,9780321057648
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Precalculus

by ; ;
Edition:
2nd
ISBN13:

9780321057648

ISBN10:
0321057643
Format:
Hardcover
Pub. Date:
1/1/2001
Publisher(s):
Addison Wesley

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Summary

This book, intended for a graphing calculator optional precalculus course, offers students the content and tools they will need to successfully master precalculus concepts. The authors have addressed the needs of students who will continue their study of mathematics, as well as those who are taking precalculus as their final mathematics course. Emphasis is placed on exploring mathematical concepts by using real data, current applications and optional technology.

Table of Contents

Preface ix
Algebraic Expressions
Real Numbers and Their Properties
2(14)
Order and Absolute Value
16(9)
Polynomials; The Binomial Theorem
25(12)
Factoring Polynomials
37(7)
Rational Expressions
44(9)
Rational Exponents
53(11)
Radical Expressions
64(20)
Summary
75(3)
Review Exercises
78(3)
Test
81(1)
Internet Project The NFL Quarterback Rating System
82(2)
Equations and Inequalities
Linear Equations
84(7)
Linear Applications and Modeling
91(12)
Complex Numbers
103(7)
Quadratic Equations
110(10)
Quadratic Applications and Modeling
120(9)
Other Types of Equations
129(9)
Inequalities
138(10)
Absolute Value Equations and Inequalities
148(17)
Summary
155(1)
Review Exercises
156(4)
Test
160(2)
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162(3)
Relations, Functions, and Graphs
Relations and the Rectangular Coordinate System; Circles
165(15)
Functions
180(15)
Linear Functions
195(13)
Equations of Lines; Curve Fitting
208(12)
Graphs of Relations and Functions
220(13)
General Graphing Techniques
233(16)
Operations and Composition
249(21)
Summary
258(3)
Review Exercises
261(4)
Test
265(3)
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268(2)
Polynomial and Rational Functions
Quadratic Functions; Curve Fitting
270(14)
Synthetic Division
284(7)
Zeros of Polynomial Functions
291(11)
Polynomial Functions: Graphs, Applications, and Models
302(14)
Rational Functions: Graphs, Applications, and Models
316(14)
Variation
330(16)
Summary
337(1)
Review Exercises
338(4)
Test
342(2)
Internet Project Polynomial Modeling of Social Security Numbers
344(2)
Exponential and Logarithmic Functions
Inverse Functions
346(12)
Exponential Functions
358(16)
Logarithmic Functions
374(10)
Evaluating Logarithms and the Change-of-Base Theorem
384(11)
Exponential and Logarithmic Equations
395(10)
Applications and Models of Exponential Growth and Decay
405(19)
Summary
415(1)
Review Exercises
416(4)
Test
420(2)
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422(2)
Trigonometric Functions
Angles
424(7)
Right Triangles and Trigonometric Functions
431(15)
Finding Trigonometric Function Values
446(14)
Solving Right Triangles
460(12)
Radian Measure
472(11)
The Unit Circle and Circular Functions
483(11)
Graphs of the Sine and Cosine Functions
494(17)
Harmonic Motion
511(3)
Graphs of the Other Circular Functions
514(24)
Summary
526(4)
Review Exercises
530(5)
Test
535(1)
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536(2)
Trigonometric Identities and Equations
Fundamental Identities
538(7)
Verifying Trigonometric Identities
545(8)
Sum and Difference Identities
553(11)
Double-Angle Identities and Half-Angle Identities
564(13)
Inverse Trigonometric Functions
577(13)
Trigonometric Equations
590(13)
Equations Involving Inverse Trigonometric Functions
603(17)
Summary
609(3)
Review Exercises
612(4)
Test
616(1)
Internet Project Modeling a Damped Pendulum
617(3)
Applications of Trigonometry
Oblique Triangles and the Law of Sines
620(14)
The Law of Cosines
634(10)
Vectors and the Dot Product
644(10)
Applications of Vectors
654(6)
Products and Quotients of Complex Numbers
660(10)
De Moivre's Theorem; Powers and Roots of Complex Numbers
670(7)
Polar Equations and Graphs
677(11)
Parametric Equations, Graphs, and Applications
688(20)
Summary
697(2)
Review Exercises
699(5)
Test
704(1)
Internet Project The Art of Undersampling
705(3)
Systems of Equations and Inequalities
Linear Systems of Equations
708(17)
Matrix Solution of Linear Systems
725(10)
Determinant Solution of Linear Systems
735(12)
Partial Fractions
747(6)
Nonlinear Systems of Equations
753(10)
Systems of Inequalities and Linear Programming
763(11)
Properties of Matrices
774(14)
Matrix Inverses
788(23)
Summary
800(2)
Review Exercises
802(4)
Test
806(1)
Internet Project A Topic from Numerical Analysis
807(4)
Analytic Geometry
Parabolas
811(9)
Ellipses
820(11)
Hyperbolas
831(10)
Summary of the Conic Sections; Rectangular and Polar Forms
841(13)
Rotation of Axes
854(10)
Summary
858(1)
Review Exercises
859(2)
Test
861(1)
Internet Project Modeling the Path of a Bouncing Ball
862(2)
Further Topics in Algebra
Sequences and Series
864(10)
Arithmetic Sequences and Series
874(8)
Geometric Sequences and Series
882(9)
The Binomial Theorem Revisited
891(7)
Mathematical Induction
898(7)
Counting Theory
905(10)
Basics of Probability
915
Summary
925
Review Exercises
927
Test
929
Internet Project Simulating Experiments Using Random Number Generators
930
Answers to Selected Exercises A-1
Index I-1
Index of Applications I-7


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