Homework: Reading and Problem Sets

Math 345, Fall 2025
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 on Gradescope and assign pages to problems.)

Click here for more homework rules.

Reading, Videos, and Problem Sets
Set
Number
Due Sections
to Read
Videos
to Watch
Problem
Sheet
Solutions
0 Thu,
Sep 4
-- -- Homework 0 N/A
1 Mon,
Sep 8
I.1, I.2 Video 1: The
Riemann Sphere
Homework 1 Solutions to Homework 1
2 Thu,
Sep 11
I.3-I.5 Video 2: Why C? (The
Fund'l Thm of Algebra)
Homework 2 Solutions to Homework 2
3 Mon,
Sep 15
I.6-I.8 Video 3 (optional):
Some Riemann Surfaces
Homework 3 Solutions to Homework 3
4 Thu,
Sep 18
II.1 Video 4: Some Basic
Limit Properties
Homework 4 Solutions to Homework 4
5 Mon,
Sep 22
II.1, II.2 Video 5: Basic Limit
Properties, part 2

Video 6: Real Sequences
Homework 5 Solutions to Homework 5
6 Thu,
Sep 25
II.2, II.3 Video 7: Compact Sets Homework 6 Solutions to Homework 6
7 Mon,
Sep 29
II.4, II.5 Video 8: Proof of
the Chain Rule
Homework 7 Solutions to Homework 7
8 Thu,
Oct 2
II.5, II.6 Video 9: Derivatives
of Inverse Functions
Homework 8 Solutions to Homework 8
9 Mon,
Oct 6
II.6, II.7 Video 10: Conformal
Mappings
Homework 9 Solutions to Homework 9
10 Thu,
Oct 9
III.1, III.2 Video 11: Complex
Line Integrals
Homework 10 Solutions to Homework 10
11 Thu,
Oct 16
IV.1 Video 12: Closed
and Exact
Homework 11 Solutions to Homework 11
12 Mon,
Oct 27
IV.2, IV.3,
IV.4
Video 13: Existence of a
Primitive
Video 14: Proof of the Cauchy
Differentiation Formula
Homework 12 Solutions to Homework 12
13 Thu,
Oct 30
IV.5, IV.6,
V.1, V.2
Video 15: Applying
Morera's Theorem
Homework 13 Solutions to Homework 13
Videos to Watch: Nov 3-7
14 Mon,
Nov 3
V.2, V.3 Video 16: UCC
Convergence
Video 17: Radius
of Convergence
Homework 14
15 Thu,
Nov 6
V.4, V.5 (Lecture Videos A-F) Homework 15
16 Mon,
Nov 10
V.5, V.6 Video 19: Power Series
at Infinity
Homework 16



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