Further details will be announced in class.
Solutions to the midterm: white, yellow, and pink.
Final exam review: 14:00, December 20, in ETLE 1-001 (for more information, click here; solutions to the review problems can be found here and here).
There is no deferred midterm exam; if the midterm is missed for a valid reason, the weight will be transferred to the final.
Students who miss the final exam and obtain a formal (in writing) university accepted excuse for their absence may write a deferred exam on Saturday, January 14, 2012 at 9:00 in CAB 357.
Students wishing to be considered for a re-examination must satisfy the requirements laid out in Section 23.5.5 of the Academic Calendar. Moreover, they must have - excluding the final - completed at least one half of the term work. Term performance will play a role in the decision to grant a re-examination.
| Lecture 1: | Functions of several variables |
| Lecture 2: | Limits and continuity |
| Lecture 3: | Partial derivatives |
| Lecture 4: | Tangent planes and linear approximation |
| Lecture 5: | The chain rule |
| Lecture 6: | Directional derivatives and the gradient |
| Lecture 7: | Maximum and minimum values |
| Lecture 8: | Lagrange multipliers |
| Lecture 9: | Double integrals over rectangles |
| Lecture 10: | Double integrals over general regions |
| Lecture 11: | Double integrals in polar coordinates |
| Lecture 12: | Applications: laminae with variable density |
| Lecture 13: | Triple integrals |
| Lecture 14: | Triple integrals in cylindrical and spherical coordinates |
| Lecture 15: | Vector fields |
| Lecture 16: | Line integrals |
| Lecture 17: | The fundamental theorem for line integrals |
| Lecture 18: | Green's theorem |
| Lecture 19: | Curl and divergence |
| Lecture 20: | Parametric surfaces and their areas |
| Lecture 21: | Surface integrals |
| Lecture 22: | Stokes' theorem |
| Lecture 23: | The divergence theorem |