No late homework will be collected. The worst two grades in homework assignments will be dropped to account for circumstances beyond your control. If you know in advance that you will be missing an assignment you are asked to turn it in before the deadline.

Chapter 3, page 48 of the textbook, due Tuesday Jan 26 in class
# 2,9,11abc,12,21,23.
Induction:
problem 1: prove 11c for all n, that is, prove that if H(H(y))= H(y), then H(H(...H(y)..))= H(y) when we compose H n times, for any n (remember that induction does not always start with n=1, you need to choose the first value).
Problem 2: show by induction that the nth derivative of 1/x is (-1)^n n!/x^{n+1} (this is the standard derivative ^ indicates a power).
***********************************************
Chapter 4
#3(i-ix), 4, 7, 8, 9,13, 14, 17(1,2,5),18(1,2,4) plus three problems from class: prove the formula for the line that goes through two points and prove that mn = -1 if lines are perpendicular. Also prove using the \epsilon-\delta definition that the limit as x goes to zero of \sqrt(x)\sin(1/x) is zero (\sqrt is the square root in LateX).
***********************************************
Chapter 5
#3i,iii,vi,viii,7,8,9,10abd,12ac,13,17,21
***********************************************
Chapter 5: 30i,31,34,35,36,37a,38.
Chapter 6: 3,4,7,10
***********************************************
Chapter 6: 13,14(no need for epsilon-delta with these two),16
Chapter 7: 2i,iii,3,8,9,10,11,12,16a
***********************************************
Chapter 8: #1,2,5,10,12,13,14
***********************************************
Chapter 9: #1,3,6,8,10,14,15,17,19,21,23,24,25
***********************************************
(due after spring break)
Chapter 10: 4,6,10,11,15,16,17,18c,24,28,29
Chapter 12: 2,3,4,5
***********************************************
Chapter 12: #2,3,4,5,6,8,9,11,21,23
***********************************************
Chapter 12: #16,17,18,26
Chapter 11: #28,30,35,36,43
************************************************
Chapter 13 (due April 26)
Prove theorem 6 in chapter 13. Also, problems #5,6,7(i-vi),9,11abc,12,13,20 **********************************************
Chapter 13: #23,29
Chapter 14: #4,5,6,8,9,12abc,18,19
Chapter 18: #1i(with n exponents instead of 3),vi,12,24,28b (hint: find a function f with that property -remember this is the exponential chapter- and show that the quotient of two such functions is constant so any other function with that property is a multiple of the one you found!)
Chapter 19: #14,15,22,24
**********************************************