Complex Variables with Applications

Calendar

SES #	TOPICS	KEY DATES
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