Math 311W Homepage
Fall 2012

Instructor:  Karl Schwede
Text:  Numbers, Groups & Codes by J.F. Humphreys & M.Y.Prest, 2nd edition
Office hours:   Wednesday 3:30-4:30, Thursday 10:00-11:00 in McAllister 318C.

## News:

• The final exam is on Monday, December 17th at 8:00am :-[ Here is the information on the final. CLICK HERE

## Supplementary material

Worksheet from August 29th.
Worksheet from September 17th.
Worksheet Solutions from September 17th.
Quiz 2 solutions, from September 24th.
Worksheet #4 and Solutions The quiz on 10/31 will be related to this worksheet.
Worksheet #5 from October 24th and Solutions. The quiz on 11/7 will be related to this worksheet.

## Homework:

• Due Friday, August 31st. Read Sections 1.1 and 1.2 in the text. Write solutions to exercises 1,2,4,5 from section 1.1. Be prepared to present Exercise 6.
• Due Friday, September 7th. Read Section 1.2 and 1.3 in the text. Write solutions to exercises 1, 3, 6, 7, 8 from section 1.2. Be prepared to present Exercise 12.
• Due Friday, September 14th. Read Section 1.3 and 1.4 in the text. Write solutions to exercise 2, 3, 6, 7, 9 from section 1.3. Be prepared to present Exercise 8.
• Due Friday, September 21st. Read Section 1.4 and 1.5 in the text. Write solutions to exercises 1, 2, 3, 5, 6, 7 from section 1.4. Be prepared to present Exercise 9.
Additionally, turn in your group project from Exercise 8 from last week.
• Due Friday, September 28th. Read Section 1.5 in the text and start reading 1.6. Write solutions to exercises 1,2,3,4 from section 1.5. Be prepared to present Exercise 5.
• Due Friday, October 12th. Please read section 1.6 in the text. Also read section 2.1. Write solution to exercises #2, 3, 4, 5, 7, 8 from section 1.6. Be prepared to discuss Exercise 10.
• Due Wednesday, October 17th. Please read section 2.2 in the text. Also turn in answers to the following questions
A. Explain in words how you would prove that a given function in injective.
B. Explain in words how you would prove that a given function in surjective.
C. Give an explanation in words why bijective functions always have inverse.
• Due Friday, October 19th. From Section 2.1. Do #1, 2, 3, 6, 7, 9.
• Due Friday, October 26th. From Section 2.2. #2, 5, 6, 8, 10, 11
A. Give an example of an abstract equivalence relation on the set of colleges and universities in the United States. Describe the equivalence classes.
B. Give an example of a partial order on the set of 2x2 matrices.
• Due Friday, November 2nd. From Section 2.3. Please do #2, 3, 7, 8, 9, 10.
• Due Friday, November 9th. From Section 4.1. Please do #2, 3, 4, 5, 6.
• Due Friday, November 30th. From Section 4.2. Please do #2, 3, 4, 7, 11, 12, 13.
• Due Friday, December 7th.
From Section 4.3. Please do #1, 3, 7
From Section 5.1. Please do #1, 2, 4, 5
• Deu Friday, December 14th.
From Section 5.1: Please do #6, 7, 9
From Section 5.2: Please do #1, 2, 3

## Extra Credit:

• Extra Credit 2 from September 14th, due on September 28th.
• Extra Credit 3 from October 15th, due on November 30th.
• Due Monday, October 22nd.     I have encrypted a message using RSA. My n = 116889374789684703689090558378572911261440635617186527917110920045408997958987 and my a = 101. My message is m = 10538468907072327306766936439826477348116673505018771593202227973331244291161. Figure out what I said. (1 point)
• Due Wednesday, October 24th.     Show that the function h : {differentiable functions R -> R} --> {functions R -> R} which sends f to f' is not surjective by using the mean value theorem. (1 point)
• Due Friday, November 26th, a the following questions on Cardinality.
• Due Friday, December 7th (first draft), a paper on an important problem in mathematics DETAILS HERE.