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Homework




Below is the final homework assignment for the course.

Due Tuesday, Dec. 9

Sec. 6.3 # 1, 3, 5, 11, 17, 19

Sec. 6.2 # 1, 5, 7, 11, 13, 15, 17, 31, 33

Sec. 6.1 # 1, 3, 5, 7, 9, 13, 17, 21, 29, 47

"Life is good for only two things, discovering mathematics and teaching mathematics."
--Simeon Poisson



Due Tuesday, Dec. 2

Sec. 5.5 # 2, 4, 11, 15, 17, 25, 29, 41, 51, 55, 57, 63, 67, 79, 82

Sec. 5.4 # 1, 2, 5, 9, 11, 13, 17, 19, 23, 25, 27, 29, 33, 35, 39, 45, 47, 48, 50

Sec. 5.3 # 2, 7, 11, 13, 15, 19, 23, 25, 31, 41, 49, 51

"I think that God in creating man somewhat overestimated his ability."
--Oscar Wilde



Due Tuesday, Nov. 18

Sec. 5.2 # 17, 19, 21, 22, 25, 27, 28, 29, 30, 33, 35, 36, 39, 47, 48

Sec. 5.1 # 2, 4, 11, 15

Sec. 4.10 # 1, 3, 5, 7, 9, 11, 13, 25, 27, 31, 34, 35, 43, 59, 61, 66

"The truth of a proposition has nothing to do with its credibility. And vice versa."
--Robert A. Heinlein



Due Tuesday, Nov. 11

Sec. 4.7 # 5, 10, 11, 27, 29, 34

Sec. 4.7 # 3, 7, 9, 20, 31, 54

"When I was young I noticed that nine out of every ten things that I did were failures, so I did ten times more work."
--George Bernard Shaw



Due Tuesday, Nov. 4

Sec. 4.5 # 7, 9, 11, 13, 17, 19, 27

Sec. 4.4 # 1, 5, 7, 8, 11, 15, 19, 21, 25, 37, 43, 51, 53, 57, 59

"In the middle of difficulty lies opportunity."
--Albert Einstein



Due Tuesday, Oct. 28

Sec. 4.3 # 5, 6, 8, 11, 13, 15, 17, 19, 21, 23, 24, 27, 29, 33, 39, 41

Sec. 4.2 # 11, 12, 15, 25, 29, 30, 34, 36

Sec. 4.1 # 3, 4, 5, 7, 33, 35, 37, 39, 47, 49, 53, 55, 57, 60, 61

"If I have seen farther than others, it is because I have stood on the shoulders of giants."
-- Isaac Newton



Due Tuesday, Oct. 21

Sec. 3.11 # 1, 5, 7, 8, 9, 21, 23, 27, 28, 31, 32, 33, 41, 46

Sec. 3.10 # 1, 8, 9, 11, 13, 14, 16, 19, 34

Sec. 3.8 # 2, 5, 13, 17, 19, 31, 36, 37, 41, 43, 48, 51, 52

"80% of success is showing up."
-- Woody Allen



Due Tuesday, Oct. 14

Sec. 3.7 # 5, 9, 11, 17, 19, 29, 31, 35, 43, 45, 47, 49, 52, 67

Sec. 3.6 # 5, 7, 9, 11, 13, 15, 17, 19, 25, 26, 27, 29, 36, 37, 43, 47, 49

Sec. 3.5 # 27, 29, 31, 33, 39, 40, 43, 45, 51, 52, 53, 55, 61

"A mathematician is a blind man in a dark room looking for a black cat which isn't there."
-- Charles Darwin



Due Tuesday, Oct. 7

Sec. 3.5 # 1, 3, 7, 9, 11, 17, 19, 21, 25

Sec. 3.4 # 1, 3, 9, 11, 13, 17, 21, 23, 30, 31, 35, 37, 39, 40, 46

"Genius is nothing but a great aptitude for patience."
-- George-Louis De Buffon



Due Tuesday, Sept. 30

Sec. 3.2 # 3, 5, 7, 9, 11, 13, 15, 17, 23, 25, 31, 32, 33

Sec. 3.1 # 3, 5, 11, 17, 19, 21, 23, 29, 39, 45, 49

Sec. 2.9 # 4, 5, 7, 9, 21, 27, 29, 37, 38, 45

"The difference between a text without problems and a text with problems is like the difference between learning to read a language and learning to speak it."
-- Freeman Dyson



Due Tuesday, Sept. 23

Sec. 2.8 # 7, 8, 13, 14, 15, 16, 17, 18

Sec. 2.7 # 1, 5ab, 7, 8, 9, 11, 15, 20ab

Sec. 2.6 # 5, 6, 11, 12, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 52

"It is a great nuisance that knowledge can only be acquired through hard work."
-- W. Somerset Maugham



Due Tuesday, Sept. 16

Sec. 2.5 # 5, 9, 17, 18, 35, 37, 39, 41, 42, 43, 47, 49, 61

Sec. 2.4 # 1, 3, 4, 15, 17, 25, 29, 31, 39 (Hint on 39: Between any two distinct real numbers there is an irrational number.)

Sec. 2.3 # 1, 10, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 35, 36, 37, 38

"Continue. Eventually, faith will come."
--D'Alembert, one of the most notable contributors to mathematics of the 1700's, speaking to a beginner in calculus



Due Tuesday, Sept. 9

Sec. 2.2 # 1, 2, 4, 6, 12, 13, 23, 25, 27, 29, 38

Sec. 2.1 # 2, 7

Sec. 1.6 # 5, 6, 7, 8, 23, 24, 25, 26, 27, 28, 35, 36, 38, 39, 40, 41, 49, 50, 51, 63, 64, 67, 68

"Do not worry about your difficulties in mathematics, I assure you that mine are greater."
--Albert Einstein



Due Tuesday, Sept. 2

Sec. 1.5 # 1, 7, 8, 9, 10, 15, 16, 20, 25abc

Sec. 1.3 # 3, 4, 6, 7, 8, 9, 10, 11, 13, 14, 16, 21, 23, 31, 32, 35, 36, 37, 42, 43, 45, 47, 54, 57

Sec. 1.2 # 3, 4, 9, 11
Sec. 1.1 # 1, 2, 5-8, 28-38, 52, 53, 57, 58, 60