Precalculus : Functions and Graphs,9780321131966

Precalculus : Functions and Graphs

by ; ; ;
Edition: 5th
ISBN13: 9780321131966
ISBN10: 0321131967
Format: Hardcover
Pub. Date: 2004-01-01
Publisher(s): Addison Wesley
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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

CHAPTER P Prerequisites
P.1 Real Numbers
2(11)
P.2 Cartesian Coordinate System
13(10)
P.3 Linear Equations and Inequalities
23(7)
P.4 Lines In the Plane
30(14)
P.5 Solving Equations Graphically, Numerically, and Algebraically
44(9)
P.6 Solving Inequalities Algebraically and Graphically
53(2)
Key Ideas
55(2)
Review Exercises
57(7)
CHAPTER 1 Functions and Graphs
1.1 Modeling and Equation Solving
64(17)
1.2 Functions and Their Properties
81(20)
1.3 Twelve Basic Functions
101(12)
1.4 Building Functions from Functions
113(18)
1.5 Graphical Transformations
131(11)
1.6 Modeling with Functions
142(14)
Math at Work
156(1)
Key Ideas
156(1)
Review Exercises
157(13)
Chapter Project
170
CHAPTER 2 Polynomial, Power, and Rational Functions
2.1 Linear and Quadratic Functions and Modeling
162(19)
2.2 Power Functions with Modeling
181(12)
2.3 Polynomial Functions of Higher Degree with Modeling
193(14)
2.4 Real Zeros of Polynomial Functions
207(14)
2.5 Complex Numbers
221(8)
2.6 Complex Zeros and the Fundamental Theorem of Algebra
229(8)
2.7 Graphs of Rational Functions
237(12)
2.8 Solving Equations in One Variable
249(9)
2.9 Solving Inequalities in One Variable
258(10)
Math at Work
268(1)
Key Ideas
269(1)
Review Exercises
270(4)
Chapter Project
274(2)
CHAPTER 3 Exponential, Logistic, and Logarithmic Functions
3.1 Exponential and Logistic Functions
276(14)
3.2 Exponential and Logistic Modeling
290(10)
3.3 Logarithmic Functions and Their Graphs
300(10)
3.4 Properties of Logarithmic Functions
310(10)
3.5 Equation Solving and Modeling
320(14)
3.6 Mathematics of Finance
334(11)
Key Ideas
345(1)
Review Exercises
346(4)
Chapter Project
350(2)
CHAPTER 4 Trigonometric Functions
4.1 Angles and Their Measures
352(10)
4.2 Trigonometric Functions of Acute Angles
362(10)
4.3 Trigonometry Extended: The Circular Functions
372(14)
4.4 Graphs of Sine and Cosine: Sinusoids
386(12)
4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant
398(9)
4.6 Graphs of Composite Trigonometric Functions
407(9)
4.7 Inverse Trigonometric Functions
416(10)
4.8 Solving Problems with Trigonometry
426(12)
Key Ideas
438(1)
Review Exercises
439(3)
Chapter Project
442(2)
CHAPTER 5 Analytic Trigonometry
5.1 Fundamental Identities
444(10)
5.2 Proving Trigonometric Identities
454(9)
5.3 Sum and Difference Identities
463(8)
5.4 Multiple-Angle Identities
471(7)
5.5 The Law of SInes
478(9)
5.6 The Law of Cosines
487(9)
Math at Work
496(1)
Key Ideas
497(1)
Review Exercises
497(3)
Chapter Project
500(2)
CHAPTER 6 Vectors, Parametric Equations, and Polar Equations
6.1 Vectors in the Plane
502(12)
6.2 Dot Product of Vectors
514(8)
6.3 Parametric Equations and Motion
522(12)
6.4 Polar Coordinates
534(7)
6.5 Graphs of Polar Equations
541(9)
6.6 De Moivre's Theorem and nth Roots
550(10)
Key Ideas
560(1)
Review Exercises
561(3)
Chapter Project
564(2)
CHAPTER 7 Systems and Matrices
7.1 Solving Systems of Two Equations
566(11)
7.2 Matrix Algebra
577(15)
7.3 Multivariate Linear Systems and Row Operations
592(14)
7.4 Partial Fractions
606(9)
7.5 Systems of Inequalities in Two Variables
615(8)
Math at Work
623(1)
Key Ideas
624(1)
Review Exercises
624(4)
Chapter Project
628(2)
CHAPTER 8 Analytic Geometry in Two and Three Dimensions
8.1 Conic Sections and Parabolas
630(12)
8.2 Ellipses
642(12)
8.3 Hyperbolas
654(12)
8.4 Translation and Rotation of Axes
666(10)
8.5 Polar Equations of Conics
676(10)
8.6 Three-Dimensional Cartesian Coordinate System
686(11)
Key Ideas
697(1)
Review Exercises
697(3)
Chapter Project
700(2)
CHAPTER 9 Discrete Mathematics
9.1 Basic Combinatorics
702(11)
9.2 The Binomial Theorem
713(6)
9.3 Probability
719(14)
9.4 Sequences and Series
733(17)
9.5 Mathematical Induction
750(8)
9.6 Statistics and Data (Graphical)
758(13)
9.7 Statistics and Data (Algebraic)
771(16)
Math at Work
787(1)
Key Ideas
787(1)
Review Exercises
788(4)
Chapter Project
792(2)
CHAPTER 10 An Introduction to Calculus: Limits, Derivatives, and Integrals
10.1 Limits and Motion: The Tangent Problem
794(12)
10.2 Limits and Motion: The Area Problem
806(9)
10.3 More on Limits
815(14)
10.4 Numerical Derivatives and Integrals
829(11)
Key Ideas
840(1)
Review Exercises
840(2)
Chapter Project
842(1)
A.1 Radicals and Rational Exponents 843(5)
A.2 Polynomials and Factoring 848(8)
A.3 Fractional Expressions 856(5)
B.1 Formulas from Algebra 861(1)
B.2 Formulas from Geometry 862(1)
B.3 Formulas from Trigonometry 863(1)
B.4 Formulas from Analytic Geometry 864(2)
B.5 Gallery of Basic Functions 866(1)
C.1 Logic: An Introduction 867(6)
C.2 Conditionals and Biconditionals 873(8)
Glossary 881(18)
Selected Answers 899(108)
Applications Index 1007(4)
Index 1011

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