# Calculus IIWinter 2012

Math 152, Section 31
Instructor: Laurence Field

## Course Information

The course information handout is available.

My office hours are held weekly from 4:30–6.30 Wednesday, 4.30–5.30 Friday, and by appointment. My office is WL 5 (basement of 5720 S. Woodlawn Ave.; enter from side door).

Our course assistant Andy's office hours are held weekly from 5–6 Tuesday and 12:15–1:15 Thursday, in the C-Shop.

The problem session will be held weekly on Thursday from 5–6pm in Ryerson 358.

## Final Exam Problems

Practice Final. There is a typo in question 4: instead of “x = 0, x = 1” it should read “y = 0, y = 1”.

Final Problems, Revised. One or two of the problems on the final will be taken from this handout, which has been revised to be clearer and include more intermediate steps. The (superseded) original version is still available.

The remainder of the problems will fall into the following categories:

• calculations (including indefinite and definite integrals, areas, volumes, related rates, and exponential growth/decay);
• curve sketching;
• straightforward questions testing your understanding of
• the main definitions: concavity, inflection points, definite integral, one-to-one function, inverse function, natural logarithm, exponential function, definition of loga(x) and ax;
• the main theorems: Theorem 5.3.5, the Fundamental Theorem of Calculus, the properties in section 5.8, the Mean-Value Theorems for integrals, Pappus' Theorem on Volumes, Theorem 7.1.8 on differentiating inverse functions, and the properties of the natural logarithm and the exponential function.

## Homework

If you want more practice than the homework problems I assign, it is always a good idea to try all the exercises in the sections of the book that we cover.

The written homework is to be handed in two classes after it was assigned.

The stretch homework is for you to see if you can figure out some more difficult problems (not to be handed in). If you want to ask about them or check your solutions you can ask at office hours or the problem session.

• be handed in before 10.35am in class on the due date (unless you have prior permission);
• be stapled together;
• have your name and the homework number written on the front page;
• be written on paper that does not have tatty spiral-binding remnants on the side.
DueWrittenStretch
Week 1
HW 1 Mon Jan 9 §4.6 ex 1, 2, 3, 4, 5, 6, 27, 35, 39, 40
§4.7 ex 1, 2
§4.6 ex 42, 44, 45, 47–50
Week 2
HW 2 Fri Jan 13 §4.7 ex 7, 20, 26, 29, 34, 43, 45
§4.8 ex 8, 14, 26, 30, 38, 50, 55
§4.7 ex 44–52
§4.8 ex 56–8
HW 3 Wed Jan 18 §4.8 ex 20, 39, 45, 53
§4.10 ex 4, 7, 10, 13, 18, 25, 30, 37
§4.10 ex 40–1
HW 4 Fri Jan 20 §5.2 ex 1, 5, 7, 11, 12, 15, 19, 25, 26, 29, 30, 31 §5.2 ex 23–4, 35–43
Week 3
HW 5 Mon Jan 23 §5.3 ex 1, 3, 7, 8, 17, 19, 21, 25 (note missing = sign)
§5.4 ex 7, 14, 17, 33
§5.3 ex 33–6
Week 4
HW 6 Fri Jan 27 §5.4 ex 38, 42, 50, 54, 62
§5.5 ex 10, 11, 23, 27, 34
§5.4 ex 59–64
Week 5
HW 7 Fri Feb 3 §5.6 ex 41
§5.7 ex 5, 20, 26, 29, 35, 36,
40, 58, 64, 71, 82, 84, 85
§5.6 ex 53–5
§5.7 ex 86
HW 8 Mon Feb 6 §5.8 ex 7–15, 35, 38
§5.9 ex 13, 15, 16
Week 6
HW 9
(2 HW in 1)
Mon Feb 13 §5.9 ex 24–9
§6.1 ex 5, 12, 20, 28, 33, 37, 39, 40, 46
§6.2 ex 14, 21, 30, 39, 41, 45, 46, 48, 59
§5.9 ex 30–7
Week 7
HW 10 Fri Feb 17 §6.3 ex 12, 23, 28, 34, 37, 41, 43, 46, 47
§6.4 ex 19, 24, 25
HW 11 Mon Feb 20 §6.4 ex 12, 27, 30
§7.1 ex 3, 18, 30, 32, 33, 44, 52, 53, 54, 60
Week 8
HW 12 Mon Feb 27 §7.1 ex 47, 57, 58
§7.2 ex 12, 19
§7.3 ex 7, 8, 19, 21, 30, 34, 35, 42, 47, 52, 71, 76
Week 9
HW 13 Fri Mar 2 §7.4 ex 11, 38, 42, 52, 54, 57, 70, 72, 73
§7.5 ex 21, 44, 63, 64
HW 14 Mon Mar 5 §7.6 ex 3, 6, 8, 14–16, 23, 24, 26