18.04 | Spring 2018 | Undergraduate

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

Course Info

Instructor
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As Taught In
Spring 2018
Learning Resource Types
Exams with Solutions
Lecture Notes
Recitation Notes
Problem Sets with Solutions