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