| Lecture | Date | Topics | Reading |
|---|
| 1 | Tue.1/16 |
Double Integrals over Rectangles; Iterated Integrals |
15.1 (p.981-p.984), 15.2 |
| 2 | Thu.1/18 |
Double Integrals over General Regions |
15.3 |
| 3 | Tue.1/23 |
Double Integrals over General Regions (continued) |
15.3 (6.1) |
| 4 | Thu.1/25 |
Double Integrals in Polar Coordinates; Area in Polar Coordinates |
15.4 (10.4) |
| 5 | Tue.1/30 |
Triple Integrals I |
15.7 (6.2) |
| 6 | Thu.2/1 |
Triple Integrals II |
15.7 |
| 7 | Tue.2/6 |
Triple Integrals in Cylindrical and Spherical Coordinates |
15.8 (6.3) |
| 8 | Thu.2/8 |
Change of Variables in Multiple Integrals |
15.9 |
| 9 | Tue.2/13 |
Review 1 |
|
| 10 | Thu.2/15 |
Midterm 1 |
|
| 11 | Tue.2/20 |
Vector Fields |
16.1 |
| 12 | Thu.2/22 |
Line Integrals |
16.2 |
| 13 | Tue.2/27 |
The Fundamental Theorem of Line Integrals; Conservative Vector Fields; Curl |
16.3, 16.5 (p.1090-1092) |
| 14 | Thu.3/1 |
Green's Theorem |
16.4 |
| 15 | Tue.3/6 |
Divergence; Vector Forms of Green's Theorem |
16.5 (p.1093-1096) |
| 16 | Thu.3/8 |
Parametric Surfaces |
16.6 (p.1098-1103) |
| 17 | Tue.3/20 |
Surface Area; Surface Integrals of Functions |
15.6, 16.6 (p.1103-1106), 16.7 (p.1109-1113) |
| 18 | Thu.3/22 |
Surface Integrals of Vector Fields |
16.7 (p.1113-1119) |
| 19 | Tue.3/27 |
Review 2 |
|
| 20 | Thu.3/29 |
Midterm 2 |
|
| 21 | Tue.4/3 |
Stokes' Theorem |
16.8 |
| 22 | Thu.4/5 |
Gauss's Theorem |
16.9 |
| 23 | Tue.4/10 |
Five Fundamental Theorems |
16.10 |
| 24 | Thu.4/12 | Complex Numbers; Euler's Formula and De Moivre's Theorem |
[F] 1.1-1.2 (Appendix G) |
| 25 | Tue.4/17 | Exponential and Logrithm (complex); Hyperbolic
Functions (real) |
[F] 1.3 |
| 26 | Thu.4/19 | Complex Functions; Limits, Continuity, and Complex Derivatives
|
[F] 2.1, 2.2, 2.3 |
| 27 | Tue.4/24 | Cauchy-Riemann Equations; Harmonic Functions |
[F] 2.4, 2.5 |
| 28 | Thu.4/26 | Line Integral of Complex Functions; Cauchy's Theorem |
[F] 3.1, 3.2 |