There will be weekly homework assignments which will be collected, graded and returned in a timely manner. Late homework will not be accepted.

Only a selected subset of each homework assignment will be collected and graded. The problems to be collected are indicated in each assignment, however the students are expected to do the homework assignment in its entirety. There will be a weekly problem session with the TA to go over the homework after it is handed in. Any of the problems on the homework (not just those handed in) may be discussed at the problem session.

Students are very strongly encouraged to work together on the homework, however each student must write up his/her assignment individually. The emphasis in the homework will be twofold. It will contribute significantly to the understanding and development of the new material which we will encounter each week. Secondly, it will be a forum for students to hone their skills at writing clear precise proofs.

Due to the fundamental importance of the homework, it will account for a significant portion (30%) of the course grade.

Homework assignment #1: due Monday, January 10

• Read sections 1.1 through 1.5 in DoCarmo
• Exercises 1.2, page 5: # 2, 4, 5 (hand in # 5).
• Exercises 1.3, pages 7-11: # 6, 7, 8, 9, 10 (hand in # 7, 9, 10).
• Exercises 1.4, pages 14-16: # 5, 8, 10, 11 (hand in # 8, 11).

Homework assignment #2: due Wednesday, January 19

• Read sections 1.5, 2.1, 2.2 and the appendix to Chapter 2 on pages 118 -133 in DoCarmo
• Exercises 1.5, pages 22-26: # 1, 6, 7, 8, 9, 11 (hand in # 6, 8, 9).
• Exercises 2.2, pages 65-69: # 1, 2, 3 (hand in # 1 and 3).

Homework assignment #3: due Monday, January 24

• Read sections 2.2 through 2.3 in DoCarmo
• Exercises 2.2, pages 65-69: # 4, 6, 7, 8, 12, 16, 17 (hand in # 4, 7, 8, 16).

Homework assignment #4: due Monday, January 31

• Read sections 2.3 through 2.4 in DoCarmo
• Exercises 2.3, pages 80-83: # 1, 3, 4, 6, 10, 11 (hand in # 1, 4, 10).
• Exercises 2.4, pages 88-92: # 1, 3 (hand in # 3)

Homework assignment #5: due Monday, February 7

• Read sections 2.4 through 2.5 in DoCarmo
• Exercises 2.4, pages 88-92: # 8, 11, 17, 18, 21 (hand in # 11, 18, 21)
• Exercises 2.5, pages 99-102: # 1, 3, 5, 9 (hand in # 3 and 9)

Homework assignment #6: due Monday, February 14

• Read sections 2.5, 2.6 and 2.8 in DoCarmo
• Exercises 2.5, pages 99-102: # 10, 11, 13, 14 (hand in # 11a, 13a and 13b)
• Exercises 2.6, page 109: # 2, 4, 5 (hand in # 2)

Homework assignment #7: due Wednesday, February 23

• Read sections 3.1, 3.2 and the Appendix to Chapter 3 in DoCarmo
• Exercises 3.2, page 151-153: # 2, 3, 4, 7, 8, 9 (hand in # 2, 3, 8a, 8c, 9b)

Homework assignment #8: due Monday, February 28

• Read sections 3.2 and 3.3 in DoCarmo
• Exercises 3.2, page 151-153: # 6, 13, 15, 16, 17 (hand in # 6, 16, 17)

Homework assignment #9: due Monday, March 6

• Read sections 3.3 and 3.5B in DoCarmo
• Exercises 3.3, page 168-174: # 5, 6, 7, 15, 16, 22 (hand in # 5 (all), 7 (a, b, e), 16, 22 (all))

Homework assignment #10: Not to be handed in

• Exercises 3.5, page 209-213: # 11, 12, 13, 14