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

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, October 4

• Read sections 1.1, 1.2 and 1.3 in Patty
• Exercises 1.1, pages 8-10: #3, 5, 7, 8, 10, 14, 15, 18, 20 and 22

Homework assignment #2: due Monday, October 11

• Read up through (and including) section 1.6 in Patty. This means that you should be carefully working through all of the examples and theorems as you go.
• Exercises 1.2, pages 14-15: #2, 3, 4, and 11
• Exercises 1.3, pages 24-26: #2, 3, 4, 8 and 9

Homework assignment #3: due Monday, October 18

• Continue reading up through (and including) section 1.6 in Patty.
• Exercises 1.3, pages 24-26: #11, 12 and 19
• Exercises 1.4, pages 34-36: #7, 8, 10, 12, 16, 21, 23

Homework assignment #4: due Monday, October 25

• Continue reading up through (and including) section 1.7 in Patty.
• Exercises 1.4, pages 34-36: # 29, 30
• Exercises 1.5, page 41: # 1, 2, 3, 9
• Exercises 1.6, pages 49-50: # 1, 4, 5, 13

Homework assignment #5: due Monday, November 1

• Continue reading up through (and including) section 2.1 in Patty.
• Exercises 1.7, pages 56-57: # 1, 2, 4, 8, 11, 16

Homework assignment #6: due Monday, November 8

• Continue reading up through (and including) section 2.2 in Patty.
• Exercises 1.7, pages 56-57: # 17, 19
• Exercises 2.1, pages 65-66: # 2, 7, 11, 17, 22
• Exercises 2.2, pages 71-72: # 5, 10

Homework assignment #7: due Monday, November 15 (Revised)

• Continue reading up through (and including) section 2.3 and 3.1 in Patty.
• Exercises 2.2, pages 71-72: # 11, 14
• Exercises 1.3, pages 24-26: # 1
• Exercises 2.3, pages 79-80: # 3, 8, 9, 12

Homework assignment #8: due Monday, November 22

• Continue reading section 3.1 and 3.2 in Patty.
• Exercises 3.1, pages 110-112: # 8, 9, 18, 20, 21
• Exercises 3.2, pages 118-119: # 3, 7, 12, 13

Homework assignment #9: due Wednesday, December 1

• Continue reading sections 3.3 and 4.1 in Patty.
• Exercises 3.3, pages 121-122: # 3, 4, 5, 6
• Exercises 4.1, page 131: # 2, 3

Homework assignment #10: due Monday, December 6

• Continue reading sections 4.1, 4.2 and 4.3 in Patty.
• Exercises 4.1, page 131: # 4, 5, 8, 10, 11
• Exercises 4.2, page 137-140: # 4, 6, 7, 14, 15