Homework: Reading and Problem Sets

Math 345, Fall 2024
Rob Benedetto


All section numbers are from Gamelin, Complex Analysis.

This table will grow as the semester progresses and more problem sets are assigned.

All sets due on Gradescope at 11:59pm ET on their due dates.

(Think of that as 11:49pm, allowing at least 10 minutes to submit and tag problems on gradescope.)

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



Back to the Math 345 Home Page...