Calculus III
Spring 2013

Math 153, Section 32
Instructor: Laurence Field

Course information

Please read the course information handout for information about classes, office hours, homework and exams.

My current office hours are Monday 4:00-5:00, Thursday 12:00–2:00 and by appointment (email me). For my office hours you should come to Eckhart 14 (in the Eckhart basement).

Exams

The best practice for midterms and finals is to do problems from the relevant sections of the book, and then try a past paper under timed conditions. You can find past papers on last year's page.

First midterm and solutions.

Second midterm and solutions.

Final exam and solutions.

Homework

The exercises marked with an asterisk are to be handed in. The rest are extra exercises to check your understanding, and should not be handed in. You are welcome to ask about them or other questions at office hours or problem session.

Week 1:
(All exercises to be handed in.)
§7.7 ex 3, 8, 25, 32–4, 42, 48, 56, 69, 70, 72.
§7.8 ex 4, 14, 19–21, 32, 44, 52.

Week 2:
§8.2 ex *9, *27–9, *42, *43, 51, *67, *69, 76, *77.
§8.3 ex 3, 5, *8, *17, *19, *22, *24, 25, 27, *44, *50.
§8.4 ex 5, *6, 9, *15, *22, 27, *28, *31, *34, 35, *36, 37, *46.

Week 3 (pdf)

Week 4 (pdf)

Week 5 (pdf)

Week 6 (pdf)

Week 7:
(All exercises to be handed in.)
§12.2 ex 3, 7, 12, 14, 18, 22, 30, 31, 33, 35, 36, 42.
§12.3 ex 9, 12, 14, 20, 24, 25, 28, 30, 34, 36, 37, 49, 55, 56.

Week 8:
(All exercises to be handed in.)
§12.4 ex 2, 8, 16, 19, 34–6, 46–8.
§12.5 ex 3, 5, 7, 13, 24, 28, 45, 47.
Hint for 47: if a series converges, its terms tend to zero and are therefore bounded. This should allow you to use basic comparison against a geometric series.

Week 9:
(All exercises to be handed in.)
§12.6 ex 2, 8, 18, 51, 56, 58.
§12.7 ex 2, 12, 22.
§12.8 ex 8, 25, 28, 34, 38, 42, 43, 45, 47.
§12.9 ex 10, 20, 26, 28, 44, 45.