# 32B (Lect. 3), Calculus of Several Variables

Lectures: MWF 12:00-12:50 in Mathematical Sciences 4000A.

Instructor: Rowan Killip, 6935 Math Sciences Building.

Office Hours: Mon 10:30--11:50am and Wed 9:30--10:50am in 6943 Math Sciences Building.

Exams: Two in-class midterms: Wednesday, January 31st and Wednesday, February 28th. Three-hour final: Sunday, March 18, 3:00pm-6:00pm.
Bring student ID to both midterms and the final. There will be no make-up exams.
No calculators, notes, or books will be permitted in any exam.

Homework: There will be weekly homework. It is due in class. Further information is given below.

• No late homework will be accepted.
• The reader will grade three problems each out of five points.
• Up to five further points will be awarded based on the proportion of the remaining problems that are completed.
• Write your name, ID number, and TA section at the top of the first page.
• Staple your pages!
• Homework will be returned in TA section.
• The weakest homework score will be omitted.

Grading: Homework, 14%; Each midterm 17%; Final 52%. No exceptions.

Syllabus: General Course Outline. Here is our expected progress:

 Lecture Sections Topics 1 16.1 Integrals in two variables and iterated integrals 2 16.2 Integrals over general regions 3 16.2, 16.3 Integrals over general regions (cont.), triple integrals 4 16.3, 12.3 Triple integrals, planar polar coordinates 5 16.4, 13.7 Double integrals in polar coordinates, cylindrical and spherical coord's. 6 16.4 Triple integrals in cylindrical and spherical coordinates 7 16.5 Applications of double & triple integrals (mechanics) 8 16.5 Applications of double & triple integrals (probability) 9 Review 10 16.1-16.5 Midterm 1 11 16.6 Change of variables in double integrals 12 16.6 Change of variables in double/triple integrals 13 17.2 Scalar line integrals 14 17.1 Vector fields 14 17.2 Vector line Integrals 15 17.3 Conservative Vector Fields 16 17.3 Conservative Vector Fields 17 17.4 Parametric Surfaces and scalar surface integrals 18 17.4-5 Scalar and vector surface integrals 19 17.5 Vector surface Integrals 21 16.1--17.5 Midterm 2 22 18.1 Green's Theorem 23 18.1 Green's Theorem 24 18.3 The Divergence Theorem 25 18.3 The Divergence Theorem 26 18.2 Stokes' Theorem 27 18.2 Stokes' Theorem 28 Review 16.1--18.3 Final
Homework Problems:
Homework 1. Due Friday Jan 12.
Homework 2. Due Friday Jan 19.
Homework 3. Due Friday Jan 26.
Homework 4. Due Friday Feb 2. Midterms for Lecture 1 and Lecture 3.
Homework 5. Due Friday Feb 9.
Homework 6. Due Friday Feb 16.
Homework 7. Due Friday Mar 2.
Homework 8. Due Friday Mar 9. Midterms for Lecture 1 and Lecture 3.
Homework 9. Due Friday Mar 16. Here is an old final and solutions.