National Tsing Hua University
Math 5130 - Real Analysis (Fall 2025)
Homework Problems

• Problems with asterisks * will be collected and graded. Assignments will be collected during recitation classes.

9/9:   Chap 1, Exercise 2, 3, 12, *13

9/16:   Chap 1, Exercise 4, 5, *9, 10, *11, 14

9/23:   Chap 1, Exercise 6, 7, 8, 26, *27, 28, *30, 33

9/30:   Chap 1, Exercise 16, *17, 19, 20, 21, 23, *35

10/7:   Chap 1, Exercise *36, 37, Problem *1, 4, 5

10/14:   Chap 2, Exercise 1, *7, 9 (replace "integrable" by "measurable")

10/21:   Chap 2, Exercise *6, 10, 11, *15, 16

11/4:   Chap 1, Problem 4; Chap 2, Exercise 8, *12, 16, 22, Problem *1, 2 (Read page 68 of textbook about complex-valued integrable functions.)

11/11:   Chap 2, Exercise 4, *5, 17, 18, *19, 21, Problem 3, 4

11/18:   Chap 2, Exercise 23, *24; Chap 3, Problem *2, 3

11/25:   Chap 3, Exercise *3, 4, 5, 7, *8, 9

12/2:   Chap 3, Exercise 1(a), *2, 10, 11, *14, 15, 17

12/9:   Chap 3, Exercise 16, 19, 20, 21, 22, 23, 24, Problem 4

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