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
10 Thu,
Oct 10
III.1, III.2 Video 11: Complex
Line Integrals
Homework 10



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