| Week 1 | ||
|---|---|---|
| Mon 24 Mar | 15.1, 15.2: Introduction to integration, iterated integrals | Worksheet
1 Solutions |
| Weds 26 Mar | 15.2, 15.3: Fubini's Theorem, integration over non-rectangular regions | Worksheet
2 Solutions |
| Fri 28 Mar | 15.4: Integration in polar coordinates | Worksheet 3 Solutions |
| Week 2 | ||
| Mon 31 Mar |
15.4, 15.5:Integration in polar coordinates, applications of
double integrals (no probability or expected values) |
Worksheet 4 Solutions |
| Weds 2 Apr |
15.7, 15.8: Triple integration, cylindrical coordinates | Worksheet 5 Solutions |
| Fri 4 Apr |
15.8, 15.9: Spherical coordinates | Worksheet 6 Solutions |
| Week 3 | ||
| Mon 7 Apr |
Ch 12: Vectors, dot product, cross product, determinants, planes | Worksheet 7 Solutions |
| Weds 9 Apr |
15.10: Change of variables, the Jacobian | Worksheet 8 Solutions |
| Fri 11 Apr |
15.10: Change of variables, the Jacobian (continued)
Practice exam 1 Solutions Practice exam 2 with solutions Practice exam 3 with solutions Skip those that do not. |
|
| Week 4 | ||
| Mon 14 Apr |
Ch 12, 13: Projections, vector functions | Vector
Solutions Dot product Solutions Cross product Solutions Lines & planes Solutions Vector functions Solutions Arc length Solutions |
| Weds 16 Apr |
Review for the midterm | |
| Thurs 17 Apr |
Midterm 1, 7-9pm Exam 1 solutions | |
| Fri 18 Apr |
Ch 14: Partial and directional derivatives, gradients, tangent planes | Partial
derivatives Solutions Tangent planes Solutions Gradient and directional derivative Solutions |
| Week 5 | ||
| Mon 21 Apr |
16.2: Line integrals of scalar functions | Worksheet 9 Solutions |
| Weds 23 Apr |
16.1, 16.2:Vector fields, line integrals of vector fields | Worksheet 10 Solutions |
| Fri 25 Apr |
16.3: The Fundamental Theorem of Calculus for line integrals | Worksheet 11 Solutions |
| Week 6 | ||
| Mon 28 Apr |
16.3,16.4: The Fundamental Theorem of Calculus for line integrals (continued), Green's Theorem | Worksheet 12 Solutions |
| Weds 30 Apr |
16.4: Green's Theorem (continued) | Worksheet 13 Solutions |
| Fri 2 May |
16.5: Curl and Divergence | Worksheet 14 Solutions |
| Week 7 | ||
| Mon 5 May |
16.5: Curl and Divergence (continued), | |
| Weds 7 May |
16.6: Parametrizing surfaces, tangent planes | |
| Fri 9 May |
16.6, 15.6: Surface area Suggested exercises Practice exam 1 Solutions Practice exam 2 with solutions Practice exam 3 with solutions Skip those that do not. |
|
| Week 8 | ||
| Mon 12 May |
16.7:Surface integrals of scalar functions | Worksheet 15 Solutions |
| Weds 14 May |
Review for Midterm 2 | Worksheet 16 solutions |
| Thurs 15 May |
Midterm 2, 7-9pm Exam 2 solutions | |
| Fri 16 May |
16.7: Surface integrals of vector fields | Worksheet 17 Solutions |
| Week 9 | ||
| Mon 19 May |
16.9: The Divergence Theorem | Worksheet 18 Solutions |
| Weds 21 May | 16.9,16.8: The Divergence Theorem (continued), Stokes' Theorem | Worksheet 19 Solutions |
| Fri 23 May | 16.8: Stokes' Theorem, continued | |
| Week 10 | ||
| Mon 26 May | Memorial Day. No class | |
| Weds 28 May | Review Math 13 Topics Suggested extra problems from all sections Practice exam 1 Solutions Practice exam 2 with solutions Practice exam 3 Practice exam 4 |
|
| Sat 31 May | Final Exam, 11:30-2:30 pm,
Location: Wilder 104 |
|