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Links:
Syllabus
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Math Lab Hours
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Writing Lab
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| Date & Handouts |
Reading |
Exercises to be collected at the beginning of class |
Thursday
8/28
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1.1 Four ways to represent a function
1.2 Mathematical models: a catalog of essential functions
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No homework due on first day of class!
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Friday
8/29
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1.3 New functions from old functions
2.1 The tangent and velocity problems
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Homework #1
Read Math 131: Getting started.
Read instructions for turning in homework. You are responsible for following these guidelines in your homework assignments for Math 131.
1.1 11, 17, 18, 21
1.2 5, 6, 7, 8, 9, 10, 14, 15
*Even though this is a long list of problems, there is not much calculation.
1.3 1, 3
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Monday
9/1
Outline
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2.2 The limit of a function
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Homework #2
1.1 52, 57, 59
1.2 19, 20
1.3 9, 10, 11, 13, 15
2.2 4, 7
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Wednesday
9/3
Outline
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2.3 Calculating limits using limit laws
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Homework #3
1.3 21, 22, 23, 27
2.2 14, 15, 33, 34, 42
*Graphs for 33, 34, and 42 on Blackboard.
2.3 3, 9
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Thursday
9/4
Outline
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2.4 The precise definition of a limit
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No homework due.
Read instructions for writing mathematics essays.
Problem #28, p. 44 is the topic of Essay #1.
Essay #1 is due Monday.
I encourage you to bring your essays by my office hours so we can talk about them before they are due.
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Friday
9/5
Outline
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2.5 Continuity
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Homework #4
1.3 29, 30, 34, 35
2.3 2, 15, 20, 27, 29, 30
2.4 2, 4
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Week 2
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Monday
9/8
Outline
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3.1 Derivatives
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Homework #5
1.3 37, 40, 50
2.3 31ac, 32ac
*Graphs for 31 and 32 on Blackboard.
2.4 11, 14, 41
2.5 1, 4, 5, 6
Essay #1 due!
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Wednesday
9/10
Outline
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3.2 The derivative as a function
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Homework #6
2.4 15, 16, 21
2.5 15, 18, 19, 44
3.1 5, 6, 17, 18
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Thursday
9/11
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Test 1
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Friday
9/12
Outline
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3.3 Differentiation formulas
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Homework #7
2.5 40, 41
3.1 20, 32, 35, 36
3.2 1, 2, 9, 13
Essay #2 is due next Wednesday. In Essay #2, you will explain the epsilon-delta definition of limit. I encourage you to use a graph to illustrate your explanation.
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Week 3
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Monday
9/15
Outline
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3.4 Derivatives of trigonometric functions
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Homework #8
3.1 39, 42
3.2 20, 22, 23, 39, 40
3.3 8, 9, 12, 15, 21, 49
3.4 1, 2, 13
*For these problems from 3.4, you only need to know the derivatives of sine and cosine. You do not need to read the entire section for this assignment.
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Wednesday
9/17
Outline
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3.4 Derivatives of trigonometric functions
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Homework #9
3.3 61, 64, 66
3.4 10, 18, 21, 29, 35, 36
*In 3.4 #36, replace Stewart's part (b) with the handout for this problem available on Blackboard.
Essay #2 due!
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Thursday
9/18
Outline
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3.5 The chain rule
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No homework due.
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Friday
9/19
Outline
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3.5 The chain rule
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Homework #10
3.4 39, 40, 41, 44, 48, 50
3.5 1, 2, 3, 7, 8, 9
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Week 4
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Monday
9/22
Outline
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3.6 Implicit differentiation
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Homework #11
3.5 18, 19, 21, 24, 29, 32, 33, 40, 41, 61, 63, 64
Essay #3 is due next Monday, September 29. Use geometry, algebra, and limits to explain the proof of the product rule.
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Wednesday
9/24
Outline
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Review
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Homework #12
3.5 65, 66, 67, 68, 69, 70
3.6 1, 2, 5, 7
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Thursday
9/25
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Test 2
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Friday
9/26
Outline
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3.8 Related rates
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Homework #13
3.6 21, 22, 27, 29, 39
3.7 5, 6, 11, 13, 16
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Week 5
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Monday
9/29
Outline
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3.8 Related rates
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Homework #14
3.7 21, 25, 30
3.8 1, 2, 3, 4
Essay #3 due!
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Wednesday
10/1
Outline
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4.1 Maximum and minimum values
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Homework #15
3.8 12, 23, 31, 38, 43
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Thursday
10/2
Outline
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4.1 Maximum and minimum values
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No homework due.
Essay #4 is due Monday, October 15. Use geometry, algebra, and limits to explain why the derivative of cos(x) is -sin(x).
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Friday
10/3
Outline
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4.2 The mean value theorem
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Homework #16
4.1 3, 4, 5, 6, 11, 13, 15, 18, 19, 25, 29
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Week 6
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Monday
10/6
Outline
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4.2 The mean value theorem
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Homework #17
4.1 47, 50, 52, 53, 57, 67
4.2 2, 5, 8
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Wednesday
10/8
Outline
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4.3 How derivatives affect the shape of a graph
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Homework #18
4.1 68
4.2 18, 19, 23, 24, 25, 27, 31
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Thursday
10/9
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Test 3
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Friday
10/10
Outline
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4.4 Limits and asymptotes
4.5 Curve sketching
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Homework #19
4.2 32, 33
4.3 7, 8, 10, 13, 15, 18, 21, 22, 25, 26, 27
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Week 7
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Monday
10/13
Outline
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4.7 Optimization problems
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Homework #20
4.4 2, 7, 8, 12, 16
4.5 2, 9, 17, 24
Essay #4 due!
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Wednesday
10/15
Outline
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4.7 Optimization problems
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Homework #21
4.3 52, 56
4.4 34, 38
4.5 39, 41, 44
4.7 7, 11
After all, we are in Iowa.
Essay #5 is due after Fall Break. Prove that if f has an absolute maximum at c, where c is in the interval [a,b], then either
1) f '(c)=0, or
2) f '(c) doesn't exist, or
3) c is an endpoint.
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Thursday
10/16
Outline
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4.7 Optimization problems
4.8 Newton's method
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No homework due.
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Friday
10/17
Outline
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4.9 Antiderivatives
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Homework #22
4.7 13, 16, 22, 25, 28
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