Ralph Martin Kaufmann

Purdue University; Department of Mathematics

150 N. University Street; West Lafayette, IN

Phone: (765) 494-1205; Fax: (765) 494-0548

e-mail: rkaufman@math.purdue.edu URL: http://www.math.purdue.edu/~rkaufman

Syllabus

Office hours: MW 1:30-2:20 pm and by appointment

#

Exercises

Due

HW1

1-2: #1,4,5; 1-3: #4, 6b; 1-5: #1a,b,c #10a,b

(Hint: For 1-3:4 use double angle formula)

Aug 31

HW2

2-2: # 1,2,4,10,16

For extra credit do: 1-5: #12 (everybody read it)

(Hint for #2: Use the criterion that locally one of

the projections has to be a graph of a function with

an open domain in R^{2}. (If it helps imagine the disc at heigh 1))

Sep 14

HW3

2-2: #8,9, 2-3: #3, 4, 6, 10 Sep 21

HW4

2-4: # 3, 8, 10, 11, 13 (harder, try it), 24

Sep 28

HW5

2-5: #1, 3, 9, 10, 11, 14 (harder, try it)

Oct 5

HW 6

2-6: #1, 2, 5, #3-2 5, 9

Oct 14

HW7

3-3: 5, 6, 7 a,b,d,e, (read 8, do 7c and 8 for extra credit) Nov 9

HW8

3-3: 22, 23, 4-2: 1, 9,

Nov 16

HW9

4-2: 14, 15, 18, 4-3: 1, 4, 6, 9

Nov 30

Extra Credit Work

2-4: 4; 2-5: 10; 2-6: 4; 3-2: 8; 3-3: 4, 15; 4-3: 3, 8; 4-4: 9, 10; 4-5: 1 ,2

Dec 9