All section numbers are from Gamelin, Complex Analysis.
This table will grow as the semester progresses and more problem sets are assigned.
Click here for more homework rules.
| Reading, Videos, and Problem Sets | |||||
|---|---|---|---|---|---|
| Set Number | Due | Sections to Read | Videos to Watch | Problem List or Handout | Solutions |
| 0 | Thu, Sep 5 | -- | -- | Homework 0 | N/A |
| 1 | Mon, Sep 9 | I.1, I.2 |
Video 1: The Riemann Sphere |
I.1 #1(a,b,e,f), 2(a,b), 5 I.2 #1(a,b,e), 2(a), 4, 8 Optional Challenges: I.1 #1(c), 8-11 I.2 #5, 6 | Solutions to Homework 1 |
| 2 | Thu, Sep 12 | I.3 - I.5 |
Video 2: Why C? The Fundamental Theorem of Algebra |
I.4, #1(b,f), 2(b), 3(a,b)
I.5, #1(b,d,e), 2(a,b,c), 3 Optional Challenges: I.3, #4,6 I.4, #4 I.5, #4 | Solutions to Homework 2 |
| 3 | Mon, Sep 16 | I.6 - I.8 |
Video 3 (Optional): Some Riemann Surfaces |
I.6, #1(a,b,c,d), 2(a,b,d)
I.7, #1(a,b) I.8, #1(a), 4 Optional Challenges: I.7, #4,7 | Solutions to Homework 3 |
| 4 | Thu, Sep 19 | II.1 |
Video 4: Some Basic Limit Properties | Homework 4 | Solutions to Homework 4 |
| 5 | Mon, Sep 23 | II.1, II.2 |
Video 5: Basic Limit Properties II Video 6: Real Sequences | Homework 5 | Solutions to Homework 5 |
| 6 | Thu, Sep 26 | II.2, II.3 |
Video 7: Compact Sets | Homework 6 | Solutions to Homework 6 |
| 7 | Mon, Sep 30 | II.4, II.5 |
Video 8: Proof of the Chain Rule | Homework 7 | Solutions to Homework 7 |
| 8 | Thu, Oct 3 | II.5, II.6 |
Video 9: Derivatives of Inverse Functions | Homework 8 | Solutions to Homework 8 |
| 9 | Mon, Oct 7 | II.6, II.7 |
Video 10: Conformal Mappings | Homework 9 | Solutions to Homework 9 |
| 10 | Thu, Oct 10 | III.1, III.2 |
Video 11: Complex Line Integrals | Homework 10 | Solutions to Homework 10 |
| 11 | Thu, Oct 17 | IV.1 | Video 12: Closed and Exact | Homework 11 | Solutions to Homework 11 |
| 12 | Mon, Oct 28 | IV.2, IV.3, IV.4 |
Video 13: Existence of a Primitive Video 14: Proof of Cauchy's Differentiation Formula | Homework 12 | Solutions to Homework 12 |
| 13 | Thu, Oct 31 |
IV.5, IV.6, V.1, V.2 | Video 15: Applying Morera's Theorem | Homework 13 | Solutions to Homework 13 |
| 14 | Mon, Nov 4 | V.2, V.3 |
Video 16: UCC Convergence
Video 17: Radius of Convergence | Homework 14 | Solutions to Homework 14 |
| 15 | Thu, Nov 7 | V.4, V.5 | Video 18: Derivatives of Power Series | Homework 15 | Solutions to Homework 15 |
| 16 | Thu, Nov 14 | V.5, V.6 | Video 19: Power Series at Infinity | Homework 16 | Solutions to Homework 16 |
| 17 | Fri, Nov 22 | VI.1, VI.2 |
Video 20: Isolated Zeros
Video 21: Laurent Decomposition | Homework 17 | Solutions to Homework 17 |
| 18 | Tue, Dec 3 | VI.4, VII.1 |
Video 22: Laurent Expansion
Video 23: Isolated Singularities | Homework 18 | Solutions to Homework 18 |
| 19 | Fri, Dec 6 | VII.1, VII.2 | Video 24: The Casorati-Weierstrass Theorem | Homework 19 | Solutions to Homework 19 |
| 20 | Tue, Dec 10 | VII.2, VII.4 | -- | Homework 20 | Solutions to Homework 20 |