MT805.01
Analysis II
Homework Assignments

Please note: All homework must be typed using LaTeX.

1. Due Friday, January 23. Problems 5.1.1, 5.1.2, 5.8.2, and 5.8.3. Answers.
2. Due Friday, January 30. Problems 5.8.4, 5.8.8, 5.8.9, and 5.8.10. Answers.
3. Due Friday, February 6. Problems 5.4.1, 5.4.2, 5.4.3, 5.8.26, and 5.8.27. Answers.
4. Due Friday, February 13. Problems 5.5.1, 5.8.25, 5.8.37, 5.8.38, 5.8.39, and 5.8.40 Answers.
5. Due Friday, February 20. Problems 5.6.3, 5.6.5, 5.8.43, 5.8.54, and 5.8.55. Answers.
6. Due Friday, March 13. Problems 8.7.3, 8.7.4, 8.7.12, 8.7.22, and 8.7.24. Answers.
7. Due Friday, March 20. Problems 8.7.25, 8.7.26, 8.7.31, and 8.7.33. Answers.
8. Due Friday, March 27. This problem from Rudin's Principles of Mathematical Analysis and Problems 8.7.41, 8.7.42, 8.7.43, and 10.1.2. Answers.
9. Due Friday, April 3. This problem about Bernoulli polynomials and Problems 8.7.44, 8.7.45, 8.7.46, and 10.7.1. (Beware of possible typographical errors in the text.) Answers.
10. Due Friday, April 17. These problems about Bernoulli polynomials and an infinite product and Problems 8.4.1, 8.7.38 (see Hardy's Pure Mathematics or other classic analysis texts for hints), 10.5.4, and 10.7.10. Be sure to prove the trigonometric identity in 10.7.10. Answers.
11. Due Friday, April 24. More problems about Bernoulli polynomials and 10.7.25 and 10.7.27. Answers.