Math 133

Contact Information

Instructor: Christopher French
Office: 2041 Noyce Science Center
Phone: 269-4839
E-mail: frenchc@grinnell.edu
www.math.grinnell.edu/~frenchc

Office Hours

Monday 3:00-4:00 PM
Tuesday 9:00-10:00 AM
Wednesday 3:00-4:00 PM
Thursday 1:00-2:00 AM
Friday 3:30-4:30 PM

 Text

Calculus, 6th Ed.
James Stewart

Homework

Doing homework regularly is essential to learning the material. Homework is due at the beginning of class. The grader will grade a portion of each homework assignment. I will drop a total of three homework assignments, but late homework will not be accepted. Homework assignments are listed below.

Exams

There will be five exams: September 15, September 29, October 13, November 10, and November 24. Exams will include computational problems and conceptual essays. Concept questions will be taken from the list at the bottom of this page.

Final Exam

There will be a comprehensive final exam at 9:00 AM on Wednesday, December 16. Like the regular fifty-minute exams, the final exam will include computational questions and concept essays, taken from the list at the bottom of this page. Don't make flight arrangements or other plans that will require you to take an alternate exam. (Those who do will lose a letter grade on their exam.)

Grading

Homework: 20%
Lowest of five exams: 5%
The other four exams: 10% each
Final Exam: 20%
Maximum of Exam average and Final Exam: 15%

Accommodations

If you have specific physical, psychiatric or learning disabilities and require accommodations, please let me know early in the semester so that your learning needs may be appropriately met. You will need to provide documentation of your disability to the Associate Dean and Director of Academic Advising, Joyce Stern, located in the lower level of the Forum (x3702).


August 28
§ 8.1
August 31
§ 8.1
5.5: 37, 43, 46
7.2: 75, 80, 81
7.4: 73, 78, 80
8.1: 4, 6, 9
 September 1
§ 8.2
 September 2
§ 8.3
7.6: 59, 62, 65
8.1: 10, 13, 17, 18, 25, 26
8.2: 6, 14, 21
 September 4
§ 8.4
8.1: 30, 34, 36, 46, 47, 48
8.2: 25, 33, 42
8.3: 9, 14, 19
September 7
§ 8.7
8.1: 49, 62, 63
8.2: 64, 65, 66
8.3: 23, 24, 25
8.4: 8, 9, 11
 September 8
§ 9.1
 September 9
§ 9.2
8.3: 27, 29, 41
8.4: 18, 19, 22
8.7: 1, 5
9.1: 7, 10, 13
 September 11
§ 9.3
8.4: 15, 16, 23
8.7: 6, 11
9.1: 17, 22, 31
9.2: 5, 7, 10
September 14
§ 11.1
8.7: 14, 15
9.1: 36, 37
9.2: 13, 16, 25
9.3: 5, 9, 11
 September 15
Exam 1
 September 16
§ 11.1
9.2: 26, 31
9.3: 12, 13, 14
11.1: 1, 3, 4, 5, 8, 9
 September 18
§ 11.2
9.3: 16, 17
11.1: 12, 13, 14, 16,
19, 21, 23, 24, 25
September 21
§ 11.2
11.1: 26, 27, 28, 31,
33, 37, 38, 40, 41
11.2: 2, 3, 5
 September 22
§ 11.2
 September 23
§ 11.3
11.1: 42, 43
11.2: 7, 13, 15, 18,
29, 30, 32, 34, 41, 42
 September 25
§ 13.1, 13.2
11.1: 44
11.2: 48, 54, 73
11.3: 4, 6, 9, 11, 31, 35, 38
September 28
§ 13.3, 13.4
11.2: 74
11.3: 42, 46, 56
13.1: 3, 8, 16, 29
13.2: 5, 19, 22, 30
 September 29
Exam 2
 September 30
§ 13.5
13.1: 31, 33, 36
13.2: 31, 39, 42
13.3: 7, 18, 23
13.4: 4, 5, 17
 October 2
§ 13.5
13.1: 38, 39
13.2: 46
13.3: 37, 43, 53
13.4: 20, 30, 33
13.5: 7, 9, 10
October 5
§ 14.1
13.5: 12, 14, 18, 25, 26, 29,
31, 32, 33, 35, 36, 38
 October 6
§ 15.1
 October 7
§ 15.1
13.5: 43, 44, 48, 51, 59, 60
14.1: 17, 19, 20
15.1: 1, 2, 3
 October 9
§ 15.3
14.1: 21, 22, 23, 24, 41, 42
15.1: 5, 6, 8
October 12
§ 15.3
15.1: 12, 13, 17, 30, 32,
34, 39, 40, 43
15.3: 3, 6, 15

 October 13
Exam 3
 October 14
§ 15.4
15.1: 45, 46, 55, 56, 57, 58
15.3: 18, 24, 27, 46, 50, 63
 October 16
(class cancelled)

Fall Break
October 26
§ 15.4
15.1: 59, 60, 65
15.3: 29, 32, 36, 37, 48, 54
15.4: 2, 3, 6
 October 27
§ 15.5
 October 28
§ 15.5
15.3: 73, 74, 77
15.4: 18, 19, 21, 25, 28, 29
15.5: 2, 3, 5
 October 30
§ 15.5
15.4: 31, 33, 34, 36, 38, 39
15.5: 7, 8, 10, 12, 14, 15
November 2
§ 15.6
15.4: 32, 41, 42
15.5: 17, 19, 22, 25,
28, 29, 35, 36, 37
 November 3
§ 15.6
 November 4
§ 15.6
15.5: 39, 40, 41, 43, 45, 46
15.6: 1, 4, 6, 9, 14, 18
 November 6
§ 15.7
15.5: 49, 50
15.6: 2, 7, 17, 19,
22, 26, 28, 29, 30
November 9
§ 15.7
15.6: 10, 34, 39, 44,
48, 51, 54, 57, 59
15.7: 6, 8, 11
 November 10
Exam 4 		November 11
§ 15.7
15.6: 32, 37bd, 41, 42, 52, 58
15.7: 2, 4, 12, 14, 17
 November 13
§ 15.8
15.6: 50, 55, 63
15.7: 29, 31, 33, 39,
41, 42, 44, 45, 47
November 16
§ 15.8
15.7: 35, 36, 40, 43,
46, 48, 49, 51
15.8: 1, 3, 4
 November 17
§ 15.8
 November 18
§ 16.1
15.7: 53, 56
15.8: 7, 9, 11, 12,
13, 14, 15, 17, 19
 November 20
§ 16.2
15.8: 27, 28, 29, 30, 33, 35, 36
16.1: 1a, 2
November 23
§ 16.3
15.8: 37, 40, 41
16.1: 6, 7
16.2: 5, 8, 12
 November 24
Exam 5 		November 25
§ 16.3
16.1: 11, 12
16.2: 15, 18, 22
16.3: 3, 9, 10
 November 27
(No class -- Thanksgiving)
November 30
§ 16.4
16.2: 29, 31, 35
16.3: 12, 19, 23, 25,
28, 39, 41, 42
 December 1
§ 16.6
 December 2
§ 16.6
16.3: 43, 45, 47, 48, 49, 59
16.4: 4, 6, 9
16.6: 7, 10
 December 4
§ 16.7
16.3: 50, 60, 61
16.4: 10, 13, 15, 21
16.6: 7, 10, 14, 17, 19
December 7
§ 16.8
16.4: 23, 26, 31
16.6: 22, 29, 32, 35, 31, 36
16.7: 6, 7, 10
 December 8
§ 16.9
 December 9
§ 16.9
16.7: 12, 15, 17, 19, 20
16.8: 7, 12, 13
16.9: 2, 5, 8, 10
 December 11
16.7: 22, 27, 29
16.8: 21, 24, 26, 39, 40
16.9: 13, 15, 17



Concept Questions
Explain the derivation of the formula for integration by parts. How is this related to the product rule?
Explain the method of trigonometric substitution. Why is this called a reverse substitution, and why do we need to restrict the values on ϑ
Explain how we derive the formula for arclength.
Explain how we derive the formula for surface area.
Explain how we derive the formula for hydrostatic force.
Explain how we derive the parametric equations of the cycloid.
Explain how to find the slope of a parametric curve at a point on the curve, and why does this work?
Explain how to find the arc length of a parametric curve.
Explain how to translate from polar coordinates of a point to Cartesian coordinates. If a curve is described with a polar equation, how do we find the corresponding Cartesian equation?
Explain the formulas for scalar and vector projections.
Explain how to find the equation of a plane knowing a point on the plane and a normal vector to the plane. Why does this work?
What are some ways to recognize the graph of a function?
Explain why Clairaut's Theorem is true.
Explain how we found the equation of the tangent plane. (Use the explanation from class, not the book's explanation.)
Explain why the chain rule is true.
What is a directional derivative? How is it computed, and why does this work?
What is the gradient of a function? What does it represent geometrically, and why is this true?
How can we find the tangent plane to a level surface? Why does this work?
What is a second directional derivative? How is it computed, and why does this work?
Explain the D term in the second-derivatives test. Why is it that when D is positive, a critical point is a local maximum or minimum, while when D is negative, a critical point is a saddle?
What are Lagrange multipliers used for, and why do they work?
Explain the formula for the double integral.
Explain the formula for the iterated integral. Why does it give the same result as the double integral?
How do we integrate over regions defined in polar coordinates? Why does this work?
Explain the change of variables formula for double integrals.

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