Math H263ÑSpring
2005ÑRobert Brown

Call number 12204-4

Teacher: Robert Brown

Office
MW710 292-8888 brown.71@osu.edu

Class
times: Daily 1:30-2:18, in Cockins
Hall 232

Office
Hours: Daily 12:30-1:20 and by appt, except for some days (announced later)

Website:
http://www.math.ohio-state.edu/~rbbrown/mathH263sp05

**There
are only two midterm exams this quarter.**

Text:
"Calculus with Analytic Geometry" 2nd ed, George F. Simmons (no
change)

Rough
guide to daily topics (with some epsilons, deltas and n's)

**Week
1**: Mar
28: Functions of several variables, Mar 29: Partial derivatives, Mar 30:
Tangent plane to a surface, Mar 31: Increments, Apr 1: Directional
derivatives, gradient

**Week
2**: Apr
4: Chain rule, Apr 5: Max-min
problems, Apr 6: LaGrange multipliers,
Apr 7-8: Implicit functions

**Week
3**: Apr
11-12: Double integrals, Apr 13: Applications, Apr 14: Polar coordinates, Apr
15: Triple integrals

**Week
4**: Apr
18-19: Cylindrical and spherical coordinates, Apr 20: Surface area,

Apr
21: Review, Apr 22: Midterm 1

**Week
5**: Apr
25-27: Change of coordinates, Apr 28-29: Implicit functions

**Week
6**: May 2-3: Line integrals, May 4-5:
Independence of path,

May
6: Green's theorem

**Week
7:** May
9: Green's theorem, May 10-11:
Surface integrals, divergence, Gauss' theorem, May 12: Review,
May 13: Midterm 2

**Week
8**: May
16-17: Stoke's theorem, May 18-20:
Some theoretical considerations

**Week
9**: May
23-27: A potpourri of functions

**Week
10**:
May 31-Jun 1: Catch up, Jun 2-3: Review

Important
dates:

**Midterm
1**: Fri,
Apr 22

**Midterm
2: **Fri,
May 13

**Holiday**: Mon, May 30

**FINAL
EXAM**: Wed., June 8, 1:30 Ð 3:18 in our
classroom.

**No
exam will be given in advance of its assigned date.**

Homework: Due Fri Apr 1 and every Wednesday
thereafter. Please talk to each other about the homework, but under no
circumstances copy from another's paper.

Grading: Your homework will be worth 100 points
(10 points each),

the
two midterms 100 points each, and the final exam 200 points. Total: 500 points.

**First
homework**,
due Fri, Apr 1:

p.669: #2, 4, 8, 13, 14, 19
p.674-675: #2, 4, 8, 12, 20ab, 23, 26, 29ab, 30a, 32abc.