Homework #1
Problem # 5.1.1, 5.2.6, 5.2.7 (a,b,c,e(hint:use result b)), 5.2.10, 5.2.11

Homework #2
Problem # 5.4.1, 5.5.4, 5.6.19, 5.7.5 (This one will be quite challenging. Give yourself some time and feel free to visit me)
Extra Problem:
a) Expand (1+x)ln(1+x) in a Maclaurin series. Find the limits on x for convergence
b) Use your result in (a) to show the limit as x approaches -1 of (1+x)ln(1+x)=0
Hint: You may use 5.1.2 which can be shown with partial fractions.
Look at but don't do 5.3.2 (Think about our discussion in class)

Homework #3
Problem # 5.9.8, 5.10.4
We will be covering section 1 through 5 in Chapter 6

Homework #4
Problem # 6.1.9(a only, and just do one like isinz=sinhiz, think about the rest), 6.1.18, 6.2.1(a only), 6.3.3, 6.4.1, 6.5.10
And these two:
1. Use DeMoivere's Fromula (equation 6.1.2 in text) to derive a formula for cos(30). Check your answer with 6.1.6 and think about this more general expansion.
2. Show that the imaginary part of the integral of an analytic function in the complex plane over a closed path is zero. This will complete the proof we started in class.

Homework #5
7.1.1, 7.1.2, 7.2.1(a,b,c,g), 7.2.2(b), 7.2.10 and two more integrals to below

  • Integrals

    • Homework #6
    Please see the attached document!

  • Homework #6

    • Homework #7
    Please see the attached document!

  • Homework #7

    • Homework #8
    Problem # 8.3.4, 8.3.7, 8.5.5(part a,b, and e. Also classify the singularities at x=1 and x=-1), 11.7.14 (hint: Use the figure 11.13 and/or 11.14 to estimate your answer).

    Homework #9
    Please see the attached document!

  • Homework #9