Homework
Math 554.001
Spring 2022
Prof. Girardi

Textbook: Introduction to Real Analysis, 4th ed., by Bartle and Sherbert.

section HW set note to yourself of
due date
Homework from before Exam 1.
1.2 1 Th 1/20 A PDF file. The LaTeX template. See PDF file for: problems, variants, instructions, hints.
  1. Problem 1. Not in book. A math induction problem.
  2. Problem 2. Not in book. A math induction problem.
  3. Problem 3. Not in book. A math induction problem.
Turn in a hard copy (copied one-sided) of your homework at the beginning of class. Staple your homework (often there is a stapler outside my office door). Your homework must be LaTeXed. Recall on the course homepage there is a LaTeX box with many resources, including the link Getting Started, which explains how to get the above LaTeX template into Overleaf and get started. This first homework has many LaTeX hints (so it looks long). If you have LaTex questions, please post them on our class Piazza page (in the LaTex folder).
1.1

p.10--11

2 Th 1/27 A PDF file. The LaTeX template. See PDF file for: problems, variants, instructions, hints.
  1. Problem 4. Variant of 1.1.3
  2. Problem 5. Variant of 1.1.7
  3. Problem 6. Variant of 1.1.7
  4. Problem 7. Variant of 1.1.21
  5. Problem 8. Variant of 1.1.22
  6. Problem 9. Variant of 1.1.22
  7. Problem 10. Variant of 1.1.23
Turn in a hard copy (copied one-sided) of your homework at the beginning of class. Staple your homework (often there is a stapler outside my office door). Your homework must be LaTeXed using the template provided.
1.1
p.10--11

1.3
p.22

3 Th 2/3 A PDF file. The LaTeX template. See PDF file for: problems, variants, instructions, hints.
  1. Problem 11. Variant of 1.1.10
  2. Problem 12. Variant of 1.1.15
  3. Problem 13. Variant of 1.1.14
  4. Problem 14. Variant of 1.3.2c
  5. Problem 15. Variant of 1.3.11
  6. Problem 16. Variant of 1.3.12
Turn in a hard copy (copied one-sided) of your homework at the beginning of class. Staple your homework (often there is a stapler outside my office door). Your homework must be LaTeXed using the template provided.
1.3
p.22
4 Th 2/10 A PDF file. The LaTeX template. See PDF file for: problems, variants, instructions, hints.
  1. Variant of 1.3.6
  2. Variant of 1.3.8
  3. Variant of 1.3.13
2.1
p.30-31

2.2
p.35-36

5 Th 2/10 A PDF file. The LaTeX template. See PDF file for: problems, variants, instructions, hints.
  1. Variant of 2.1.17
  2. Variant of 2.2.18a
  3. Variant of 2.2.16
  4. Variant of 2.2.17
2.2

2.3
p.39-40

6 Th 2/17 A PDF file. The LaTeX template. See PDF file for: problems, variants, instructions, hints.
  1. Exercise 2.2.101 (not in book)
  2. Variant of 2.3.101 (not in book) Max/Min and SUp/inf chart
  3. Variant of 2.3.10
  4. Variant of 2.3.11
2.4
p.44--46
7 Th 2/24 A PDF file. The LaTeX template. See PDF file for: problems, variants, instructions, hints.
  1. Variant of 2.4.1
  2. Variant of 2.4.2
  3. Variant of 2.4.2
  4. Variant of 2.4.4
  5. Variant of 2.4.4
  6. Variant of 2.4.8
Starting with HW set 8, for each problem you may work in groups of 1 to 4 students provided each group member contributed to the solution. Each group is to hand in one paper for each problem. Remember, you must take the exams alone so do not become too dependent on your group memebers. You need not work in the same group for each problem. Thus, starting with Set 8, hand in each problem separately (and so you only need to staple your paper if a problem takes more than one sheet of paper). For the purpose of returning papers, on the back of the last page of each problem, put the Pins and Names of the group members (group members should relay the feed back to the other group members). You can be using Piazza to help form groups.
2.4
p.44--46

2.5
p.52--53

8 Th 2/24 A PDF file. The LaTeX template. See PDF file for: problems, variants, instructions, hints.
  1. PDF file. LaTeX template. Variant of 2.4.6. (soln)
  2. PDF file. LaTeX template. Variant of 2.4.14. (soln)
  3. PDF file. LaTeX template. Variant of 2.4.19. (soln)
  4. PDF file. LaTeX template. Not in book. Cantor Diagonalization Argument. (soln)
  5. PDF file. LaTeX template. Variant of 2.5.7 and 2.5.8. (soln)
  6. PDF file. LaTeX template. Variant of 2.5.9. (soln)


Findable from URL: http://people.math.sc.edu/girardi/w554.html