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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 |
Monday
10/27
Outline
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4.8 Newton's method
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No homework due.
Problem #65, p. 266 is the topic of Essay #5. Essay #5 is due Monday, November 3.
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Wednesday
10/29
Outline
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5.1 Areas and distances
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Homework #22
4.7 30, 33*, 34, 37, 38
4.8 1, 2, 3
*#33 was discussed in class before break.
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Thursday
10/30
Outline
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5.2 The definite integral
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No homework due.
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Friday
10/31
Outline
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5.2 The definite integral
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Homework #23
4.7 43, 44*, 46*, 52
4.8 4, 31
5.1 2, 11
5.2 2
*#44 and #46 were discussed in class before break.
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Week 9
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Monday
11/3
Outline
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5.3 The fundamental theorem of calculus
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Homework #24
4.7 53, 57, 58, 62
5.1 15, 20
5.2 18, 20, 21, 22
Essay #5 due!
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Wednesday
11/5
Outline
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5.3 The fundamental theorem of calculus
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Homework #25
4.7 63, 64, 66
5.1 26
5.2 34, 48, 67*
5.3 2
*#67 is an optional challenge problem. The integral is a famous counterexample which is often used to motivate the study of 20th century integration theory. The function f is not Riemann integrable, but f is "Lebesgue integrable." Lebesgue invented a new way to define integration; the Riemann integral is a special case of the Lebesgue integral.
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Thursday
11/6
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Test 4
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Friday
11/7
Outline
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Break from integrals - tie up loose ends about optimization
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Homework #26
4.7 68, 69
5.3 4, 8, 11, 14, 18, 20, 24, 28, 32
Essay #6 is due next Wednesday, November 12. In Essay #6, you will explain the definition of the definite integral. Be sure to define and explain the purpose of Riemann sums in your essay.
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Week 10
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Monday
11/10
Outline
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5.5 The substitution rule
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Homework #27
5.3 37*, 40*, 47, 53 (a) and (b), 60, 64, 66
*You don't need a computer for these two problems.
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Wednesday
11/12
Outline
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6.1 Areas between curves
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Homework #28
5.3 67, 68
5.4 45, 46, 47, 51, 52
5.5 8, 12, 16, 24
Essay #6 due!
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Thursday
11/13
Outline
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6.2 Volumes
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No homework due.
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Friday
11/14
Outline
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6.3 Volumes by cylindrical shells
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Homework #29
5.5 38, 45, 50, 55, 58, 61, 62
6.1 3, 8, 14, 20
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Week 12
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Monday
11/17
Outline
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6.2 and 6.3 revisited
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Homework #30
6.1 30, 42, 44, 45, 46, 50
6.2 4, 6
6.3 4, 6
Essay #7 is due next Wednesday, Nov. 26, the day before Thanksgiving.
Explain the proof of the fundamental theorem of calculus as carefully as you can. One way to make sure you can do this without the help of the book is to change the notation from class notes and Stewart; I highly recommend that you use your own notation for this essay.
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Wednesday
11/19
Outline
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7.1 Inverse functions
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Homework #31
6.2 10, 14, 44, 49, 63, 71
6.3 1, 2, 10, 12, 30, 44
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Thursday
11/20
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Test 5
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Friday
11/21
Outline
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7.1 Inverse functions
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Homework #32
6.2 52, 56, 58, 59, 65
7.1 1*, 2*, 4, 6, 10, 14
*Study the definitions from 7.1, close your book, then answer #1 and #2.
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Week 13
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Monday
11/24
Outline
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7.2 Exponential functions and their derivatives
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Homework #33
7.1 20, 21, 22, 23, 24, 25, 32, 34, 36, 42, 45
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Wednesday
11/26
Outline
No office hours this afternoon.
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7.2 Exponential functions and their derivatives
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Homework #34
7.2 1*, 2*, 7, 8, 9, 10, 11, 12, 13, 14
*Study the definitions from 7.2, close your book, then answer #1 and #2.
Essay #7 is due.
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Thursday
11/27
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Thanksgiving - no class
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Friday
11/28
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Thanksgiving break - no class
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Week 14
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Monday
12/1
Outline
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7.3 Logarithmic functions
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Homework #35
7.1 44, 46
7.2 15, 16, 18, 19, 32, 33, 35, 41, 42, 43
Essay #8: Letter to a pre-calculus friend
Write a letter which carefully explains one of your favorite topics from Math 131 (a topic which can be explained to a pre-calculus student without too much reference to things you friend does not know).
Take this assignment as an opportunity to start to review for your final exam!
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Wednesday
12/3
Outline
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7.4 Derivatives of logarithmic functions
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Homework #35
7.2 15, 16, 18, 19, 32, 33, 35, 41, 42, 43
7.3 1, 2, 14
Essay #8: Letter to a pre-calculus friend
Write a letter which carefully explains one of your favorite topics from Math 131 (a topic which can be explained to a pre-calculus student without too much reference to things you friend does not know).
Take this assignment as an opportunity to start to review for your final exam!
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Thursday
12/4
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Test 6
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Friday
12/5
Outline
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7.5 Inverse trigonometric functions
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Homework #36
7.2 64, 66, 68, 72
7.3 , 17, 24, 28, 41, 42, 43
7.4 1, 3, 4
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Week 15
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Monday
12/8
Outline
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7.7 Indeterminate forms and L'Hospital's rule
or
More exponential and logarithmic functions
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Homework #37
7.2 74, 77, 86, 87, 89, 93, 94*, 95*
7.3 62, 72
7.4 8, 10, 18, 22
*Challenge!
*Optional!
*Important!
Essay #8 due!
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Wednesday
12/10
Outline
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Review - exponential and logarithmic functions.
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No homework due.
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Thursday
12/11
Outline
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Review - the derivative.
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No homework due.
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Friday
12/12
Outline
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Review - the integral.
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No homework due.
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