The problems assigned are the minimum that should be done. It is highly recommended that you do additional problems, particularly when preparing for exams. The more practice the better.
| Lecture | Date | Material due |
|---|---|---|
| 1 | 1/23 | First day of class. |
| 2 | 1/25 |
Written quiz: none Homework: Review check and Solutions Sec. 10.1: 8,12,14,22,24,28,30 Sec. 10.2: 4,14,16,17,18,20 Reading quiz: Sec. 10.3. Dot product and orthogonality. |
| 3 | 1/30 |
Written quiz: Q1: 10.2 Homework: Sec. 10.3: 3,4,6,8,14,16,19,22,29,32 Reading quiz: Sec. 10.4. The angle of the result of a cross product. |
| 4 | 2/1 |
Written quiz: Q2: 10.3 Homework: Sec. 10.4: 2,4,8,3,28,30,34,36,38 Reading quiz: Sec. 10.5. Vector equation of a line. |
| 5 | 2/6 |
Written quiz: Q3: 10.4 Homework: Sec. 10.5-1 (lines): 2,4,8,12,14,18,20 Reading quiz: Sec. 10.5. The normal vector to a plane. |
| 6 | 2/8 |
Written quiz: Q4: 10.5 (lines) Homework: Sec. 10.5-2 (planes): 5,22,23,24,32,36,42,44 More on #44 Sec. 10.7-1: 2,4,6,8,10,18,19,22,24,27,29,30 Reading quiz: Sec. 10.8 (7.4). How do we compute the length of a curve? |
| 7 | 2/13 |
Written quiz: Q5: 10.5 (planes) Homework: Sec. 10.7-2: 36,38,48,50,58,59,61,66,81 Sec. 10.8: 2,4,7,9,10,11 Reading quiz: Sec. 10.9. The direction of the velocity vector. |
| 8 | 2/15 |
Written quiz: Q6: 10.7 Homework:Sec. 10.9: 2,4,8,12 Sec. 11.1: 22,24,25,26,41,42,43,44,45,46 More practice with contours. Reading quiz: Sec. 11.3. Rules for finding partial derivatives of z = f(x,y). |
| 9 | 2/20 |
Written quiz: Q7: 10.8 Homework: Sec. 11.3: 2,4,8,10,16,18,24,30,40,48,56 Reading quiz: 11.4: Relationship of tangent plane to surface. |
| 10 | 2/22 | Exam 1 |
| 11 | 2/27 |
Written quiz: none Homework: Sec. 11.4: 2,13,17,19 Sec. 11.5: 2,4,7,10,18,26,31 Reading quiz: none |
| 12 | 3/1 |
Written quiz: Q8: 11.5 Homework: Sec. 11.6: 2,4,8,11,16,23,28,40 (Contour map) Reading quiz: Sec. 11.7: Critical points |
| 13 | 3/6 |
Written quiz: 11.6 Homework: Sec. 11.7: 2,6,24,32 (Max-min function) Reading quiz: Sec. 11.8: Geometry of constraint vs. function |
| 14 | 3/8 |
Written quiz: 11.7 Homework: Sec. 11.8: 2,4,8,21,25 Lagrange Mult. Reading quiz: Sec. 12.1: What is an iterated integral? |
| 15 | 3/20 |
Written quiz: Q11: 11.8 Homework: Sec. 12.1: 8,16,18,20,23,30,32,39 Reading quiz: Sec. 12.2: The domain of a type I integral. |
| 16 | 3/22 |
Written quiz: Q12: 12.1 Homework: Sec. 12.2: 6,8,12,16,24,43,44 Reading quiz: Sec. 12.3: dA in polar coordinates. |
| 17 | 3/27 |
Written quiz: Q13: 12.2 Homework: Sec. 12.3: 8,10,14,16,24,28 Sec. 12.4: 2,4,6,8,16 Reading quiz: Sec. 12.5: What is dV? |
| 18 | 3/29 |
Written quiz: Q14: 12.3 Homework: Sec. 12.5: 2,4,8,12,20 Triple integrals Reading quiz: Sec. 12.6: dV in cylindrical coordinates. |
| 19 | 4/3 | Exam 2 |
| 20 | 4/5 |
Written quiz: none Homework: Sec. 12.6: 8,10,12,18,20,28 Sec. 12.7: 4,8,10,20,22,24 Reading quiz: none |
| 21 | 4/10 |
Written quiz: Q15: 12.5 Homework: Sec. 13.1: 2,4,11,12,13,14,15,16,17,18,24,25 Sec. 13.2: 2,4,8,10,18,20,22,32,38 Vector Field Reading quiz: Sec. 13.3. When is a line integral independent of its path? |
| 22 | 4/12 |
Written quiz: Q16: 13.2 Homework: Sec. 13.3: 1,4,6,12,20,21,22 Reading quiz: Sec. 13.4. Green's Theorem |
| 23 | 4/17 |
Written quiz: Q17: 13.2 & 13.3 Homework: Sec. 13.4: 2,6,8,10,11,12,18 Green's Thm problem Reading quiz: 13.5. Div and curl -- who's a vector? |
| 24 | 4/19 |
Written quiz: Q18: 13.4 Homework: Sec. 13.5: 2,4,7,10,12,14,28 Reading quiz: 13.6. How many parameters? |
| 25 | 4/24 |
Written quiz: Q19: 13.5 Homework: Sec. 13.6: 2,3,12,14,16,18,20,34,36,38,40,32 Reading quiz: 13.7. Accounting for the "bend" of the surface. |
| 26 | 4/26 |
Written quiz: Q20: 13.6 Homework: Sec. 13.7: 8,14,18,24,26,30,42 Reading quiz: 13.9. Divergence theorem. |
| 27 | 5/1 |
Written quiz: Q21: 13.7 Homework: Sec. 13.9: 1,6,8,12,18,20 Reading quiz: 13.8: Stokes theorem |
| 28 | 5/3 | Homework: Sec. 13.8: 2,3,6,8,12 |
| 28 | 5/3 | Exam 3 |
| 5/12 | Final Exam. Saturday, 5/12, 8-11am |