Math H263—Spring 2004—Robert 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 – 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.