Homework 1 due Wednesday, 8/30:
Section 1.1 Prob. 8, 10;
Section 1.2 Prob. 1, 2(a-c), 5, 7, 10;
Section 1.4 Prob. 1 (give 2 examples), 4.
Homework 2 due Wednesday, 9/6:
Section 1.4 Prob. 6, 7, 9;
Section 2.1 Prob. 1(a,c), 2(a,c), 3(a,b).
Homework 3 due Wednesday, 9/13:
Section 2.1 Prob. 4(a-c), 6, 7, 8.
Homework 4 due Wednesday, 9/20:
Section 2.2 Prob. 1(a,b,d), 2, 3, 4, 7, and
Prove by induction that for m converging sequences,
the limit of the product is the product of the limits.
Homework 5 due Monday, 9/25:
Section 2.4 Prob. 1, 6, 7.
Homework 6 due Wednesday, 10/11:
Section 2.5 Prob. 1, 2, 3, 4, 5, 7, 8;
Section 2.6 Prob. 2.
Homework 7 due Wednesday, 10/18: pdf
Homework 8 due Wednesday, 10/25:
Section 3.1 Prob. 2, 4, 5, 7, 8, 10, 12, 13(a-c).
Homework 9 due Monday, 10/30:
Section 3.2 Prob. 1, 2, 3, 4, 9 (with µ=1).
Homework 10 due Wednesday, 11/15:
Section 3.3 Prob. 2, 3, 4(a), 7;
Section 3.5 Prob. 1.
Homework 11 due Monday, 11/27:
Section 3.3 Prob. 9, 10;
Section 3.5 Prob. 3(b,c), 4(a,b);
Section 3.6 Prob. 1(a), 4.
Homework 12 due Wednesday, 11/29:
Section 4.1 Prob. 1, 2, 4, 9, 12.
Extra Credit Homework due Monday, 12/4:
Section 4.2 Prob. 4, 5, 7, 8, 12,
True or False: If f is a continuous nonnegative unbounded function
on [0, infinity)
then the integral of f from 0 to infinity diverges.
Give a proof or a counterexample.