9780321131867

Precalculus : Graphical, Numerical, Algebraic

by ; ; ;
  • ISBN13:

    9780321131867

  • ISBN10:

    032113186X

  • Edition: 6th
  • Format: Hardcover
  • Copyright: 2003-03-01
  • Publisher: PRENTICE HALL SCHOOL GROUP

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Table of Contents

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

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