Math H263ÑSpring
2004ÑRobert Brown

Call number 12060-7

Teacher: Robert Brown

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

Class
times: Daily 1:30-2:18, in Cockins
Hall 420

Office
Hours: Daily 12:30-1:18 and by appt, except for some days (announced later)

Website:
http://www.math.ohio-state.edu/~rbbrown/mathH263sp04

Text:
"Calculus with Analytic Geometry" 2nd ed, George F. Simmons, McGraw
Hill, 1996. (Same as H161
and H162.)

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

**Week
1**: Mar
29: Functions of several variables, Mar 30: Partial derivatives, Mar 31:
Tangent plane to a surface, Apr 1: Increments, Apr 2: Directional
derivatives, gradient

**Week
2**: Apr
5: Chain rule, Apr 6: Max-min
problems, Apr 7: LaGrange multipliers, Apr 8-9: Implicit functions

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

**Week
4**: Apr
19-20: Cylindrical and spherical coordinates, Apr 21: Surface area,

Apr
22: Review, Apr 23: Midterm 1

**Week
5**: Apr
26-28: Change of coordinates, Apr 29-30: Implicit functions

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

May
7: Green's theorem

**Week
7:** May
10: Green's theorem, May 11-12:
Surface integrals, divergence, Gauss' theorem, May 13: Review,
May 14: Midterm 2

**Week
8**: May
17-18: Stoke's theorem, May 19-21:
Some theoretical considerations

**Week
9**: May
24-28: A potpourri of functions

**Week
10**:
June 1-2: Catch up, Jun 3-4: Review

Important
dates:

Monday,
May 31: holiday

**Midterm
1**:
Fri, Apr 23

**Midterm
2: **Fri,
May 14

**FINAL
EXAM**: Wed., June 9, 3:30 Ð 5:18 in our
classroom.

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

Homework: First due Fri Apr 2, then every
Wednesday thereafter. You are encouraged to talk to each other about the
homework, but under no circumstances may you copy from another person'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 2:

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