Math 212: Calculus III
This syllabus is incomplete and tentative, and will be superseded by later versions as the course evolves. Lecture topics are links to videos that you should watch before class. Details on assignments can be found on the assignments webpage. Homework numbers are from the 6th edition; the problems will be available written up on Moodle.
| Week and Date |
Topic | Notes |
| 1: 9/4-9/6 |
W: 13.1 3D coordinate systems F: 13.2 Vectors |
|
| 2: 9/9-9/13 |
M: 13.3 Dot product W: 13.4 Cross product F: 13.5 Eqns of lines and planes |
W: HW due 13.2: 26, 36 13.3: 26, 28, 46 |
| 3: 9/16-9/20 |
M: 14.1 Vector functs, space
curves 14.2 Derivs/ints of vector functs W: 14.3 Arc length and curvature 14.4 Motion in space: velocity and acceleration F: 15.1 Functs of several variables |
W: HW due 13.4: 32, 38 13.5: 32, 38, 46, 64 14.1: 28, 42 |
| 4: 9/23-9/27 |
M: 15.3 Partial derivatives W: 15.4 Tangent planes and linear approximations F: Review |
W: HW due 14.2: 20, 24 14.3: 15 14.4: 16 15.1: 2, 30, 36 15.3: 6a, 8b |
| 5: 9/30-10/4 |
M: 15.5 Chain rule W: 15.6 Directional derivatives and gradient vectors F: 15.7 Max and min values |
M: HW due First midterm: Tu 8am-Th 1pm Practice exams on Moodle |
| 6: 10/7-10/11 |
M: 15.8 Lagrange multipliers W: 16.1 Double integrals over rectangles 16.2 Iterated integrals F: 16.3 Double ints over general regions |
W: HW due NOTE: long HW |
| 7: 10/14-10/18 |
M: FALL BREAK! W: 16.4 Double ints in polar coords F: 16.5 Applications of double ints |
F: HW due 15.7: 19, 26 15.8: 20, 25 16.1.6, 16.2.24 |
| 8: 10/21-10/25 |
M: 16.7 Triple integrals W: 16.8 Triple ints in cylindrical coords F: 16.9 Triple ints in spherical coords |
W: HW due 16.3: 12, 32 16.4: 22, 28 16.6: 20, 28, 30 |
| 9: 10/28-11/1 |
M: 16.10 Change of variables in
multiple integrals W: 17.1 Vector fields F: 17.2 Line integrals |
W: HW due Second midterm: W noon-F 11pm Practice exams on Moodle |
| 10: 11/4-11/8 |
M: 17.2 (more) W: 17.3 The fundamental theorem for line integrals F: Review |
W: HW due 17.1: 29-32, 34 17.2: 32, 40, 45 17.2.46 |
| 11: 11/11-11/15 |
M: 17.4 Green's Theorem W: 17.5 Curl and Divergence F: 17.6 Parametric surfaces and their areas |
W: HW due 17.2: 28, 47 17.3: 18, 20, 22 17.3: 24-25 |
| 12: 11/18-11/22 |
M: 17.6 (more) W: 17.7 Surface integrals F: 17.7 (more) (and more and more) |
|
| 13: 11/25-11/29 |
M: Review W: THANKSGIVING BREAK! F: THANKSGIVING BREAK! |
M: long HW due 17.4:18, 21 17.5:9-11, 21 17.5.22 17.6: 13-18, 22 17.6.44, 17.7.42 |
| 14: 12/2-12/6 |
M: 17.8 Stokes' Theorem W: 17.8 (more) F: 17.9 The Divergence Theorem |
|
| 15: 12/8-12/10 |
M: 17.9 (more and more) W: Review |
W: HW due 17.7.46 17.8: 16,17,19 17.9: 14,19,20 Practice finals on Moodle |