Precalculus: Mathematics for Calculus Study Guide,9780534492892

Precalculus: Mathematics for Calculus Study Guide

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Edition: 5th
ISBN13: 9780534492892
ISBN10: 0534492894
Format: Paperback
Pub. Date: 2006-01-05
Publisher(s): Cengage Learning
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Summary

You will have no trouble succeeding with the Study Guide for PRECALCULUS MATHEMATICS FOR CALCULUS. It is packed with detailed explanations, worked-out examples, and practice problems - with the corresponding text and study guide sections you will stay right on track!

Table of Contents

Fundamentals
1(76)
Real Numbers
1(7)
Exponents and Radicals
8(6)
Algebraic Expressions
14(8)
Rational Expressions
22(6)
Equations
28(12)
Modeling with Equations
40(5)
Inequalities
45(7)
Coordinate Geometry
52(7)
Graphing Calculators; Solving Equations and Inequalities Graphically
59(7)
Lines
66(8)
Modeling Variation
74(3)
Functions
77(36)
What is a Function?
77(2)
Graphs of Functions
79(6)
Increasing and Decreasing Functions; Average Rate of Change
85(3)
Transformations of Functions
88(7)
Quadratic Functions; Maxima and Minima
95(5)
Modeling with Functions
100(2)
Combining Functions
102(5)
One-to-One Functions and Their Inverses
107(6)
Polynomial and Rational Functions
113(28)
Polynomial Functions and Their Graphs
113(6)
Dividing Polynomials
119(2)
Real Zeros of Polynomials
121(5)
Complex Numbers
126(4)
Complex Zeros and the Fundamental Theorem of Algebra
130(4)
Rational Functions
134(7)
Exponential and Logarithmic Functions
141(18)
Exponential Functions
141(4)
Logarithmic Functions
145(3)
Laws of Logarithms
148(3)
Exponential and Logarithmic Equations
151(4)
Modeling with Exponential and Logarithmic Functions
155(4)
Trigonometric Functions of Real Numbers
159(14)
The Unit Circle
159(3)
Trigonometric Functions of Real Numbers
162(3)
Trigonometric Graphs
165(3)
More Trigonometric Graphs
168(2)
Modeling Harmonic Motion
170(3)
Trigonometric Functions of Angles
173(18)
Angle Measure
173(4)
Trigonometry of Right Triangles
177(3)
Trigonometric Functions of Angles
180(5)
The Law of Sines
185(2)
The Law of Cosines
187(4)
Analytic Trigonometry
191(18)
Trigonometric Identities
191(3)
Addition and Subtraction Formulas
194(3)
Double-Angle, Half-Angle, and Product-Sum Formulas
197(4)
Inverse Trigonometric Functions
201(3)
Trigonometric Equations
204(5)
Polar Coordinates and Vectors
209(24)
Polar Coordinates
209(3)
Graphs of Polar Equations
212(4)
Polar Form of Complex Numbers; DeMoivre's Theorem
216(5)
Vectors
221(6)
The Dot Product
227(6)
Systems of Equations and Inequalities
233(44)
Systems of Equations
233(4)
Systems of Linear Equations in Two Variables
237(3)
Systems of Linear Equations in Several Variables
240(4)
Systems of Linear Equations: Matrices
244(7)
The Algebra of Matrices
251(5)
Inverses of Matrices and Matrix Equations
256(7)
Determinants and Cramer's Rule
263(5)
Partial Fractions
268(5)
Systems of Inequalities
273(4)
Analytic Geometry
277(24)
Parabolas
277(4)
Ellipses
281(3)
Hyperbolas
284(3)
Shifted Conics
287(5)
Rotation of Axes
292(3)
Polar Equations of Conics
295(3)
Plane Curves and Parametric Equations
298(3)
Sequences and Series
301(16)
Sequences and Summation Notation
301(5)
Arithmetic Sequences
306(2)
Geometric Sequences
308(2)
Mathematics of Finance
310(2)
Mathematical Induction
312(2)
The Binomial Theorem
314(3)
Limits: A Preview of Calculus
317
Finding Limits Numerically and Graphically
317(5)
Finding Limits Algebraically
322(4)
Tangent Lines and Derivatives
326(3)
Limits at Infinity; Limits of Sequences
329(4)
Areas
333

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