Ch. 1 Functions and Change
Section Assignment
1.1 What is a Function? 1, 2-4, 7, 8, 9, 11-14, 21, 24, 32
1.2 Linear Functions 1, 3, 4, 5, 8, 9, 11, 12, 14, 15, 17, 20, 21, 24, 33
1.3 Average Rate of Change and Relative Change 1-7, 9, 11, 13, 17, 20, 21, 25, 26, 27, 28, 30, 31,
43-46, 48, 51
1.4 Applications of Functions to Economics 1-3, 5, 7, 8, 9, 11-14, 15, 18, 21, 23, 27, 29, 37,
39, 40, 41
1.5 Exponential Functions 2, 3, 4, 5, 6, 7, 9, 13, 18-19, 22, 23, 28, 31, 32
1.6 The Natural Logarithm 1-15 odd, 17-20, 21-24, 25-28, 36, 37, 38, 41, 42
1.7 Exponential Growth and Decay 1, 2, 3, 4, 5, 6, 8, 9, 11, 13, 15, 20, 24, 25, 29,
33-36
1.8 New Functions from Old 1-3, 5, 6, 11, 12, 13, 16-19, 26-29, 31, 37-42, 52
1.9 Proportionality and Power Functions 1-9, 13-16, 21, 22, 23, 29
1.10 Periodic Functions 1, 2, 3, 5, 7, 9, 13, 15, 17, 21, 25, 28
Ch. 2 Rate of Change: The Derivative
Section Assignment
2.1 Instantaneous Rate of Change 2, 3, 5, 7, 11, 12, 13, 15, 19, 22
2.2 The Derivative Function 1, 3, 5, 7, 9, 10, 11, 12-17, 22, 27, 28
2.3 Interpretations of the Derivative Part I: 1-43 odd, 47, 51
Part II: 2-44 even, 52
2.4 The Second Derivative 1, 2, 4-9, 10, 11, 15, 20, 21, 22, 25, 26, 27, 29
2.5 Marginal Cost and Revenue 1, 2, 3, 4, 6, 9, 11, 12, 13
Ch. 3 Shortcuts to Differentiation
Section Assignment
3.1 Derivative Formulas for Powers and Polynomials
Part I: 1-37 odd, 39, 40, 43, 47, 49, 51, 53
Part II: 2-38 even, 46, 50, 52, 61
3.2 Exponential and Logarithmic Functions Part I: 1-27 odd, 35, 37, 41, 45
Part II: 2-28 even, 42, 44
3.3 The Chain Rule 1-27, 34, 35, 36
3.4 The Product and Quotient Rules Part I: 3-31 odd, 34, 35
Part II: 4-32 even, 37, 38, 39
3.5 Derivatives of Periodic Functions 1-20, 22, 23, 25, 27, 29
Ch. 4 Using the Derivative
Section Assignment
4.1 Local Maxima and Minima 1-4, 8, 9, 11, 12, 16, 17, 19, 23, 28, 29
4.2 Inflection Points 13-21 odd, 24, 25, 31-34
4.3 Global Maxima and Minima 3, 5, 7, 11, 13, 15, 17, 18, 37, 39
4.4 Profit, Cost, and Revenue 1, 2, 3, 5, 7, 8, 11, 13, 14, 18, 19, 22, 27, 29
4.5 Average Cost 1, 3, 5, 7, 9, 12, 15
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4.6 Elasticity of Demand 1-6, 9, 10, 11, 12, 13, 14
4.7 Logistic Growth 1, 3, 5, 6, 7, 8, 11
4.8 The Surge Function and Drug Concentration 1, 3, 4, 5, 9, 11
Ch. 5 Accumulated Change: The Definite Integral
Section Assignment
5.1 Distance and Accumulated Change 1, 3, 5, 7, 9, 12, 13, 17, 19, 23-26, 28, 29
5.2 The Definite Integral 1, 2, 3, 5, 7, 8, 10, 11, 13, 15, 16, 17, 19-25 odd,
27, 29, 31
5.3 The Definite Integral as Area 1-5, 6, 7, 8, 9, 11, 13, 19, 24, 27, 28
5.4 Interpretations of the Definite Integral 1-4, 5, 6, 7, 8, 9, 15, 16, 18, 21, 23, 25-27, 31, 32,
33
5.5 Total Change and the Fundamental Theorem
of Calculus
1-4, 5, 7, 8, 9, 10, 11, 14, 15, 21-23
5.6 Average Value 1, 2, 3, 5, 10, 11, 12, 13, 14, 19
Ch. 6 Antiderivatives and Applications
Section Assignment
6.1 Analyzing Antiderivatives Graphically and
Numerically
5, 6, 14, 15, 16, 20, 21, 22, 23, 24, 25, 26
6.2 Antiderivatives and the Indefinite Integral 1-5, 15-35 odd, 44-49, 51-67 odd, 85, 86
6.3 Using the Fundamental Theorem to find Definite
Integrals
1-16, 21, 23, 25, 27
6.4 Application: Consumer and Producer Surplus 1-11, 12, 13
6.5 Application: Present and Future Value 2, 3, 4, 5, 7, 10, 12, 13, 15, 17
6.6 Integration by Substitution 7-41 odd (skip any with trig functions), 50, 51,
53, 54, 55, 57, 59
6.7 Integration by Parts 1-12, 16-20
Ch. 7 Probability
Section Assignment
7.1 Density Functions 1-4, 5, 6, 7, 13
7.2 Cumulative Distribution Functions and Probability
1, 3, 4, 5-9 odd, 11, 13, 15
7.3 The Median and the Mean 2, 3, 4, 5, 6, 7, 8, 11
Ch. 8 Functions of Several Variables
Section Assignment
8.1 Understanding Functions of Several Variables 1, 2, 3, 4-8, 11, 13, 14, 15, 16
8.2 Contour Diagrams 1, 2, 4, 5, 8, 10, 11, 13, 19, 20, 23, 24, 26, 34
8.3 Partial Derivatives 1, 2, 3, 4, 5, 7, 8, 11, 13, 14, 17, 18, 19, 20
8.4 Computing Partial Derivatives Algebraically 1-15, 17, 18, 19, 21-21 odd, 34
8.5 Critical Points and Optimization 1, 3-5, 7, 8, 9, 11, 13, 19, 20, 21
8.6 Constrained Optimization 1, 3, 7, 9, 11, 12, 13, 15, 17, 19
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Ch. 9 Mathematical Modeling Using Differential Equations
Section Assignment
9.1 Mathematical Modeling: Setting up a Differential
Equation
1, 2, 3-9, 11, 13, 15
9.2 Solutions of Differential Equations 1, 2, 3, 4-12, 13, 15, 17, 18, 19
9.3 Slope Fields 1, 3, 4, 5, 7, 9, 11-16
9.4 Exponential Growth and Decay 1, 3, 5, 9, 11, 13, 15
9.5 Applications and Modeling 1-7 odd, 9, 11, 15, 23
9.6 Modeling the Interaction of Two Populations 1-3, 4, 7, 9-19
9.7 Modeling the Spread of a Disease 1, 2, 6, 7, 9
Ch. 10 Geometric Series
Section Assignment
10.1 Geometric Series 1, 3-9, 11-21 odd, 22, 27, 29
10.2 Applications to Business and Economics 1, 3, 5, 9, 11, 13-15, 17, 19
10.3 Applications to the Natural Sciences 1, 2, 3, 5, 7, 11, 12, 13