| Lecture | Date | Topics | Reading |
|---|
| 0 | Tue.1/20 |
No Class | |
| 1 | Thu.1/22 |
Complex Numbers, Complex Plane | 1.1, 1.2, 1.3 |
| 2 | Tue.1/27 |
Complex Expotential, Powers, Roots | 1.4, 1.5 |
| 3 | Thu.1/29 |
Planar Sets | 1.6 |
| 4 | Tue.2/3 |
Limits, Continuity | 2.1, 2.2 |
| 5 | Thu.2/5 | .
Analyticity | 2.3 |
| 6 | Tue.2/10 |
Cauchy-Riemann Equations | 2.4 |
| 7 | Thu.2/12 |
Harmonic Functions | 2.5 |
| 8 | Tue.2/17 |
Polynomials and Rational Functions |
3.1 |
| 9 | Thu.2/19 |
Exponential, Trigonometric, Hyperbolic, Logarithm Functions |
3.2, 3.3 |
| 10 | Tue.2/24 |
Review | |
| 11 | Tue.2/26 |
Midterm 1 | |
| 12 | Tue.3/3 |
Complex Power, Inverses of Trigonometric and Hyperbolic Functions | 3.5 |
| 13 | Thu.3/5 |
Contour | 4.1 |
| 14 | Tue.3/10 |
Contour Integrals | 4.2 |
| 15 | Thu.3/12 |
Independent of Path | 4.3 |
| 16 | Tue.3/24 |
Cauchy's Integral Theorem | 4.4 |
| 17 | Thu.3/26 |
Cauchy's Integral Formula | 4.5 |
| 18 | Tue.3/31 |
Bounds for Analytic Functions | 4.6 |
| 19 | Thu.4/2 |
Tayler Series | 5.2 |
| 20 | Tue.4/7 |
Midterm 2 | |
| 21 | Thu.4/9 |
Tayler Series, Sequences and Series | 5.1, 5.2 |
| 22 | Tue.4/14 |
Power Series, Convergence | 5.3, 5.4 |
| 23 | Thu.4/16 |
Laurent Series | 5.5 |
| 24 | Tue.4/21 |
Zeros and Singularities; The Residue Theorem | 5.6, 6.1 |
| 25 | Thu.4/23 |
Triagonometric Integrals; Improper Integrals | 6.2, 6.3 |
| 26 | Tue.4/28 |
Improper Integrals (continued) | 6.4 |
| 27 | Thu.4/30 |
Indented Contours | 6.5 |