| Class | Date | Day | Topic | Problems | ||
|---|---|---|---|---|---|---|
| 1 | Aug 21 | Tue | 15.1 | Functions of several variables | 15.1 # | 1,2,9-12,18,19,25-27, 29,30,32,51-56 |
| 2 | Aug 23 | Thu | 15.2 | Limits and continuity | 15.2 # | 1,5-12,18-20,23,24,29,32 |
| 3 | Aug 28 | Tue | 15.3 | Partial derivatives | 15.3 # |
1,6,12-22,29-34,39,40,43, 44,57-59,64,66,68,75,78,79 |
| 4 | Aug 30 | Thu | 15.4 | Tangent plane and differentials | 15.4 # | 1,4,5,15,17,26,27,31-35 |
| 5 | Sep 4 | Tue | 15.5 | The Chain Rule | 15.5 # | 3,4,7,9,13,19,34,37,41,45 |
| 6 | Sep 6 | Thu | 15.6 | Directional derivatives | 15.6 # |
1,4,6,8,13,17,20,22,23, 28,29,37,42 |
| 7 | Sep 11* | Tue | 15.7 | Maximum and minimum values | 15.7 # | 3,4,7,11,29,33,48,49 |
| 8 | Sep 13 | Thu | 15.8 | Lagrange Multipliers | 15.8 # | 5,14,23,36,37 |
| 9 | Sep 18 | Tue | continue | |||
| Sep 20 | Thu | Exam I | ||||
| 10 | Sep 25 | Tue | 16.1 | Riemann sums | 16.1 # | 5,11-14 |
| 11 | Sep 27 | Thu | 16.2 | Iterated integrals | 16.2 # | 5,12,15,19,21-23,29 |
| 12 | Oct 2 | Tue | 16.3 | Double integrals | 16.3 # |
3,9,11,17,18,25, 28,33-35,39,40 |
| 13 | Oct 4 | Thu | 16.4 | Polar coordinates | 16.4 # | 1-8,10,15,16,31 |
| 14 | Oct 9 | Tue | 16.5 16.6 |
Applications Surface area | 16.5 # 16.6 # |
6,7,11,12 3,7,10 |
| 15 | Oct 11* | Thu | 16.7 | Triple integrals | 16.7 # | 5,7,11,15,17,25,27,31,36 |
| 16 | Oct 16 | Tue | 16.8 | Cylindrical and spherical coordinates | 16.8 # | 1,3,5,6,9,13,14,17,19,33,35 |
| 17 | Oct 18 | Thu | 16.9 | The Jacobian | ||
| Oct 23 | Tue | Exam II | ||||
| 18 | Oct 25 | Thu | 17.1 | Vector fields | 17.1 # | 1-3,5-8,11-18,21,23, 25,26,29-32 |
| Oct 26 | Fri | | Last day to withdraw without permission of Dean | |||
| 19 | Oct 30 | Tue | 17.2 | Line integrals | 17.2 # | 1,3,4,7,13,14,17-21,31,32 |
| 20 | Nov 1 | Thu | 17.3 | Fundamental theorem for line integrals | 17.3 # | 1-5,11-13,15,16, 19,20,23,29-33 |
| 21 | Nov 6 | Tue | 17.4 | Green's Theorem | 17.4 # | 2,7,11-13,15,16 |
| 22 | Nov 8 | Thu | 17.5 | Curl and divergence | 17.5 # | 1,3,9-14,17,19,20,30-31 |
| 23 | Nov 13 | Tue | 17.6 | Parameterized surfaces | 17.6 # | 17,18,21-23,29,31,33,36,39 |
| 24 | Nov 15 | Thu | 17.7 | Surface integrals | 17.7 # | 5,7,8,13,17-19,21,23,35 |
| 25 | Nov 20 | Tue | continue | |||
| Nov 21- Nov 25 | Thanksgiving Break | |||||
| Nov 27 | Tue | Exam III | ||||
| 26 | Nov 29* | Thu | 17.8 | Stokes' Theorem | 17.8 # | 3,5-9,13,14 |
| 27 | Dec 4 | Tue | 17.9 | The Divergence Theorem | 17.9 # | 1,2,4,6,7,9,11,13 |
| 28 | Dec 6 | Thu | continue | |||
| Dec 13 | Thu | Final Exam (1:30 -- 3:30 p. m.) | ||||
* Homework notebooks due.