Precalculus: Mathematics for Calculus Study

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!

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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Precalculus: Mathematics for Calculus Study Guide

Summary

Table of Contents

Supplemental Materials

FREE SHIPPING

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Precalculus: Mathematics for Calculus Study Guide

Summary

Table of Contents

Supplemental Materials

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