National Tsing Hua University
Math 5131 - Real Analysis II (Spring 2024)
Homework Problems

• Problems with asterisks * will be collected and graded. Assignments will be collected during recitation classes. You only need to turn in problems in sections been covered for two weeks or more.

Exercises from Lecture notes (Chapter 8):

1.1, 1.3*, 1.4, 1.6*,

2.1, 2.2, 2.3*, 2.4*, 2.5

3.2, 3.3*, 3.4, 3.5, 3.6*, 3.7, 3.8*, 3.10

4.1, 4.2, 4.4*, 4.5, 4.6*

5.2, 5.3*, 5.4*

6.2*, 6.3, 6.4*, 6.5

Exercises from textbook:

Chap 4, Exercise 3, 7*, 8, 9*, 16*, 19, 22*, 24 (assigned on 4/2)

Chap 4, Exercise 10, 11, 12*, 19, 20* (assigned on 4/12)

Chap 4, Exercise 26*, Problem 1; Chap 5, Exercise 1* (assigned on 4/26)

Chap 6, Exercise 1, 2*, 3*, 10*, Prove Proposition 6.1.6 in the textbook (assigned on 5/13)

Chap 6, Exercise 11, 13*, 14, 15

Chap 7, Exercise 2*, 3, 4*, 5, 10* (assigned on 5/31)

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