Contemporary Mathematics in Context: A Unified Approach : Course 4

, by Coxford, Arthur F.; Fey, James T.; Hirsch, Christian R.; Schoen, Harold L.; Hart, Eric W.; Keller, Brian A.; Watkins, Ann E.; Walker, Rebecca K.

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ISBN: 9781570398858 | 1570398852
Cover: Hardcover
Copyright: 6/1/2001

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Supplemental Materials

Preface

xvi

Acknowledgments

xix

To the Student

xxi

Unit 1 Rates of Change

Instantaneous Rates of Change

(20)

Investigations

Walk That Graph

(4)

Chilling Out

(2)

In the Swing of Things

(3)

(8)

Pump

(2)

Rates of Change for Familiar Functions

(30)

Investigations

Reasoning with Rules about Rates

(6)

The Linear Connection

(3)

Finding Derivative Functions

(3)

Derivatives of Other Function Types

(2)

From Function Graphs to Derivative Graphs

(4)

(9)

Pump

(2)

Accumulation at Variable Rates

(22)

Investigations

What's the Total?

(3)

Velocity and Net Change

(4)

Net Change, Areas, and Definite Integrals

(5)

(7)

Pump

(2)

Looking Back

(6)

Unit 2 Modeling Motion

Modeling Linear Motion

(28)

Investigations

Navigation: What Direction and How Far?

(6)

Changing Course

(4)

Go with the Flow

(3)

Coordinates and Vectors

(5)

(7)

Pump

106

(2)

Simulating Linear and Nonlinear Motion

108

(28)

Investigations

Parametric Models for Linear Motion

109

(6)

Parametric Models for Nonlinear Motion

115

(4)

Representing Circles and Arcs Parametrically

119

(4)

Simulating Orbits

123

(4)

127

(7)

Pump

134

(2)

Looking Back

136

(6)

Unit 3 Logarithmic Functions and Data Models

Inverses of Functions

142

(16)

Investigations

When Does a Function Have an Inverse?

143

(4)

Function Inverses and Their Graphs

147

(3)

150

(6)

Pump

156

(2)

Logarithmic Functions

158

(22)

Investigations

Common Logarithms

159

(5)

Re-expression and Equation Solving with Logarithms

164

(4)

Logarithmic Scales

168

(5)

173

(5)

Pump

178

(2)

Linearizing Data

180

(30)

Investigations

Straightening Functions

181

(5)

Fitting Exponential Functions Using Log Transformations

186

(3)

189

(7)

Pump

196

(6)

Fitting Functions Using Log-Log Transformations

198

(4)

202

(6)

Pump

208

(2)

Looking Back

210

(6)

Unit 4 Counting Models

Methods of Counting

216

(24)

Investigations

Careful Counting

217

(5)

Permutations and Combinations

222

(10)

232

(6)

Pump

238

(2)

Counting Throughout Mathematics

240

(18)

Investigations

Counting and Multiplication Rules for Probability

241

(4)

Combinations, the Binomial Theorem, and Pascal's Triangle

245

(5)

250

(6)

Pump

256

(2)

The Principle of Mathematical Induction

258

(12)

Investigation

Infinity, Recursion, and Mathematical Induction

259

(5)

264

(4)

Pump

268

(2)

Looking Back

270

(6)

Unit 5 Binomial Distributions and Statistical Inference

Binomial Situations

276

(24)

Investigations

Constructing Binomial Distributions Using Simulation

277

(5)

The Binomial Probability Formula

282

(8)

290

(8)

Pump

298

(2)

Characteristics of Binomial Distributions

300

(18)

Investigations

The Shapes of Binomial Distributions

301

(6)

Simple Formulas for the Mean and the Standard Deviation

307

(4)

311

(5)

Pump

316

(2)

Chance Variation in a Binomial Situation

318

(14)

Investigations

Using the Normal Distribution to Approximate Binomial Probabilities

319

(4)

A Test of Significance

323

(3)

326

(4)

Pump

330

(2)

Experiments: Proving Cause and Effect

332

(22)

Investigations

Characteristics of Experiments

333

(5)

Do Two Treatments Give Different Results?

338

(6)

344

(8)

Pump

352

(2)

Looking Back

354

(5)

Index of Mathematical Topics

359

(4)

Index of Contexts

363

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Contemporary Mathematics in Context: A Unified Approach : Course 4

Table of Contents

Supplemental Materials