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.
TAs: Allen Boozer, Steven Gagniere, and Francis White
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.
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 |