| 1 |
Topic 1: Complex Algebra and the Complex Plane |
|
| 2 |
Topic 1: Complex Algebra and the Complex Plane (cont.) |
|
| 3 |
Topic 2: Analytic Functions |
Problem Set 1 due |
| 4 |
Topic 2: Analytic Functions (cont.) |
|
| 5 |
Topic 2: Analytic Functions (cont.) |
|
| 6 |
Topic 2: Analytic Functions (cont.) |
Problem Set 2 due |
| 7 |
Review of 18.02 Multivariable Calculus
|
|
| 8 |
Topic 3: Cauchy's Theorem |
|
| 9 |
Topic 3: Cauchy's Theorem (cont.) |
Problem Set 3 due |
| 10 |
Topic 4: Cauchy Integral Formula |
|
| 11 |
Topic 4: Cauchy Integral Formula (cont.) |
|
| 12 |
Topic 4: Cauchy Integral Formula (cont.) |
Problem Set 4 due |
| 13 |
Topic 5: Harmonic Functions |
|
| 14 |
Review for Exam 1 |
|
| 15 |
Exam 1 on Topics 1–4 |
Exam 1 |
| 16 |
Topic 5: Harmonic Functions (cont.); Topic 6: Two Dimensional Hydrodynamics and Complex Potentials |
|
| 17 |
Topic 6: Two Dimensional Hydrodynamics and Complex Potentials (cont.) |
|
| 18 |
Topic 7: Taylor and Laurent Series |
Problem Set 5 due |
| 19 |
Topic 7: Taylor and Laurent Series (cont.) |
|
| 20 |
Topic 7: Taylor and Laurent Series (cont.) |
|
| 21 |
Topic 8: Residue Theorem |
|
| 22 |
Topic 8: Residue Theorem (cont.) |
|
| 23 |
Topic 8: Residue Theorem (cont.) |
|
| 24 |
Topic 9: Definite Integrals Using the Residue Theorem |
Problem Set 6 due |
| 25 |
Topic 9: Definite Integrals Using the Residue Theorem (cont.) |
|
| 26 |
Topic 9: Definite Integrals Using the Residue Theorem (cont.) |
|
| 27 |
Topic 10: Conformal Transformations |
Problem Set 7 due |
| 28 |
Review for Exam 2 |
|
| 29 |
Exam 2 on Topics 5–9 |
Exam 2 |
| 30 |
Topic 10: Conformal Transformations (cont.) |
|
| 31 |
Topic 10: Conformal Transformations (cont.) |
|
| 32 |
Topic 11: Argument Principle |
Problem Set 8 due |
| 33 |
Topic 11: Argument Principle (cont.) |
|
| 34 |
Topic 11: Argument Principle (cont.) |
|
| 35 |
Topic 11: Argument Principle (cont.) |
|
| 36 |
Topic 12: Laplace Transform |
Problem Set 9 due |
| 37 |
Topic 12: Laplace Transform (cont.) |
|
| 38 |
Topic 12: Laplace Transform (cont.) |
|
| 39 |
Topic 13: Analytic Continuation and the Gamma Function |
|
| 40 |
Final Exam |
Final Exam |