Math H263—Spring 2005—Robert 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 – 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.