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.

• ISBN13: 9781570398858
• ISBN10: 1570398852
• Format: Hardcover
• Copyright: 2001-06-01
• Publisher: Glencoe/McGraw-Hill School Pub Co

Table of Contents

Preface	xvi
Acknowledgments	xix
To the Student	xxi
Unit 1 Rates of Change
Instantaneous Rates of Change	2	(20)
Investigations
Walk That Graph	3	(4)
Chilling Out	7	(2)
In the Swing of Things	9	(3)
More	12	(8)
Pump	20	(2)
Rates of Change for Familiar Functions	22	(30)
Investigations
Reasoning with Rules about Rates	23	(6)
The Linear Connection	29	(3)
Finding Derivative Functions	32	(3)
Derivatives of Other Function Types	35	(2)
From Function Graphs to Derivative Graphs	37	(4)
More	41	(9)
Pump	50	(2)
Accumulation at Variable Rates	52	(22)
Investigations
What's the Total?	53	(3)
Velocity and Net Change	56	(4)
Net Change, Areas, and Definite Integrals	60	(5)
More	65	(7)
Pump	72	(2)
Looking Back	74	(6)
Unit 2 Modeling Motion
Modeling Linear Motion	80	(28)
Investigations
Navigation: What Direction and How Far?	81	(6)
Changing Course	87	(4)
Go with the Flow	91	(3)
Coordinates and Vectors	94	(5)
More	99	(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)
More	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)
More	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)
More	173	(5)
Pump	178	(2)
Linearizing Data	180	(30)
Investigations
Straightening Functions	181	(5)
Fitting Exponential Functions Using Log Transformations	186	(3)
More	189	(7)
Pump	196	(6)
Fitting Functions Using Log-Log Transformations	198	(4)
More	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)
More	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)
More	250	(6)
Pump	256	(2)
The Principle of Mathematical Induction	258	(12)
Investigation
Infinity, Recursion, and Mathematical Induction	259	(5)
More	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)
More	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)
More	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)
More	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)
More	344	(8)
Pump	352	(2)
Looking Back	354	(5)
Index of Mathematical Topics	359	(4)
Index of Contexts	363