Math 136: Complex Variables and Integral Transforms
Read Sections 6.2, 6.3, and 6.4 of Saff and Snider,
and the summary at the end of Chapter 6.
Do these problems from Saff and Snider:
These questions require some stamina.
- Sec. 6.2, Trigonometric Integrals: 1, 8, 9. (Explain
the steps you use.)
Hint for Q8: The denominator is not monic!
Hint for Q9: Binomial theorem.
(Think about 10.)
You need only turn in two of these
If you prefer to attempt all three, we will count your
- Sec. 6.3, Improper Integrals of Certain Functions:
7, 8, 9, 10.
Hint for Q7: When you start computing the residues,
let Q(z) = (z-z_2)(z-z_3)(z-z_4), and only plug in the
specific values of Q(z_1), Q'(z_1), etc near the end.
(Think about 15b.)
You need only turn in three of these
If you prefer to attempt all four, we will count your
If you've never used scrap paper + clean copy for your homework, now's
the time to start.
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