Math 2040

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Math 2040 Applied Calculus

Spring 2011 Recommended Problem Set

These are the recommended problems from each section we will cover. Every single problem will not be assigned for homework, but it is still your responsibility to go through this list when studying for a Quiz or

Test—ESPECIALLY THE WORD PROBLEMS. Just because I don’t go over a certain word problem in class doesn’t mean that you won’t see it on a quiz or test. Sometimes we only have time to go over the basics in class; it is up to you to see me if you find a problem that you do not understand. I will assume that you are keeping up with these alongside of any assigned homework from the book and/or on My Math Lab.

Section Section Title Recommended Problems

Chapter 1: Differentiation

1.1 Limits: A Numerical and Graphical Approach

1.2 Algebraic Limits and Continuity

1.3

1.5

1.6

Average Rates of Change

The Power and Sum-Difference Rules

The Product and Quotient Rules

1.7

1.8

The Chain Rule

Higher-Order Derivatives

Test #1

# 1 – 33, 55 – 60 all

# 1 – 19, 27 – 57 all

# 1 – 35, 39, 41 odds

# 1 – 53, 81 – 87 odds

# 1 – 25, 29 – 47, 101 –111 odds

# 1 – 41, 61, 71 – 77 odds

# 1 – 49, 55 odds

Monday, February 21

Chapter 2: Applications of Differentiation

2.1 Using First Derivatives to find Maximum and

Minimum Values

2.2 Using Second Derivatives to find Maximum and

Minimum Values

2.4 Using Derivatives to find Absolute Maximum and Minimum Values

2.5 Maximum-Minimum Problems: Business and

Economics Applications

2.6 Marginals and Differentials

Test # 2 on My Math Lab

# 1 – 31, 79, 80 odds

# 1 – 15, 21 – 31, 35 – 39, 43, 45,

101 odds

# 3 – 29, 35, 49 – 65, 69, 75, 81,

85, 97 – 105 odds

# 23 – 29 odds

# 1 – 8 all, 17, 19, 61 – 65 all

Wednesday, March 2

Chapter 3: Exponential and Logarithmic Functions

3.1

3.2

Exponential Functions

Logarithmic Functions

3.3 Applications: Uninhibited Growth and Limited

Growth Models

3.4 Applications: Decay

3.6 An Economics Application: Elasticity of

Demand

Test # 3 Monday, April 11

Chapter 4: Integration

4.1

4.2

4.3

The Area under a Graph

Area, Antiderivatives, and Integrals

Area and Definite Integrals

4.4 Properties of Definite Integrals

5.1 An Economics Application: Consumer Surplus and Producer Surplus

Test #4

# 1 – 19, 25, 27 odds

# 1 – 57, 61 – 65 odds

***includes e and lnx

# 1 – 63, 73 – 79, 93 – 99 odds

***includes e and lnx

# 1 – 39 odds

***includes e and lnx

Monday, May 2

Final Exam: Monday, May 9 2:00 – 4:00

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