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. Additionally, turn in your group paper on Exercise 12 from 1.2.
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. Additionally, turn in your group project from last week.
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
Due Wednesday, October 24th. Read, read section 2.3 and answer the following questions:
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.
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.