MA 521 Homework assignment - Spring 2008

#1 - due Jan. 15: 1.1, Prove Lemma 3.1, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6. Solutions: page 1 - page 2

#2 - due Jan. 22: 5.1, 5.2, 5.3, 5.4, 5.5, 6.2, 6.3, 6.5, 6.6. Solutions: page 1 - page 2

#3 - due Jan. 29: 8.1, 8.2, 8.3, 8.4, 8.5, 9.1, 9.2, 9.3

#4 - due Feb. 5: Chapter 2 # 1.1, 1.2, 1.3, 1.4, 2.1, 2.2, Prove Lemma 2.3.

The first midterm will cover up to Lemma 2.5 included.

#5 - due Feb. 19: Chapter 2 # 2.3, 2.5, 2.7, 2.8, 2.12.

#6 - due Feb. 26: Chapter 2 # 2.14, 2.16, 3.2, 3.3, 3.4, 3.9.

#7 - due Mar. 4: Chapter 2 # 2.10, 2.11, 4.1, 4.3, 4.4, 4.5, 4.6. In addition: 1. Show that C coincides with the union of C and ∂C; 2. Show that each extreme point of a set C belongs to ∂C.

#8 - due Mar. 18: Chapter 2 # 5.2, 5.3.

The second midterm will cover Chapter II, Sections 1-5.

#9 - due Mar. 25: Chapter 2 # 4.7, Chapter 3 # 1.3, 1,4.

#10 - due Apr. 1: Chapter 3 # 1.1, 1.2, 1.6, 1.8, 1.9

#11 - due Apr. 8: Chapter 3 # 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 3.3

#12 - due Apr. 15: Chapter 3 # 3.1, 3.2, 3.5, 3.6, 3.8, 3.11, 4.1, 4.2. Chapter 4 # 2.1, 2.2.

#13 - due Apr. 22: Chapter 4 # 2.3, 2.4, 2.6, 3.1, 3.2, 4.1.

Optional problems - preparation for the final: Chapter 4 # 5.1, 5.2, 5.4, 5.7.

Take-home final due Thursday, May 1st, at 3:00 pm (put it in my mailbox - MATH  630 - if I am not in my office).