Problems are from Brown and Churchill, "Complex Variables and Applications,"  8th ed. unless otherwise indicated.
If I write S2, p. 4-5:  3, 4, 10 : it means do problems 3, 4 and 10 at the end of Section 2 on pages 4-5 of the book.

(Subject to Change!)

Homework #0: (Due Tuesday, September 28  in Section.)

S2, p. 5:  3, 4, 10
S3, p.8:  1
S4, p. 12:  3, 4.

These problems on basic properties of complex numbers  will not be collected but they will be covered in Section.
_________________________________________

Homework #1: (Due Tuesday, October 5 in Section.)

S5, p. 14-15: 2, 8, 14
S8, p. 22: 1, 4, 5cd, 6, 9, 10
S10, p. 29-31: 1, 2, 6, 7
S38, p.121: 2, 3, 4
_________________________________________

Homework #2:   (Due Tuesday, October 12  in Section.)

S11, p. 31: 1 -- 3
S12, p. 37: 1 -- 3
S14, p. 44: 2, 3, 7
S18, p. 55-56:  5, 10, 11
S 20, p. 62-63: 1, 3, 4,  9 (Do not hand in #9.)
_________________________________________

Homework #3:  (Due Tuesday, October 19 in Section.)

Problems 6.1 and 6.2 in the following file: Taylor Exercises.pdf.
S23, p. 71-72: 1, 2, 6
S25, p. 77-78: 1, 2, 4 (#7 will be done In class.)
S26, p. 81-82: 1ab, 2, 4, 7  (moved to Homework 4.)
_________________________________________

TEST #1:  Wednesday October 20 in class
_________________________________________

Homework #4:  (Due Tuesday, October 26 in Section.)

S26, p. 81-82: 1ab, 2, 4, 7
S29, p. 92-93: 1,3,5,6,13
S31, p. 97-98: 2, 3, 5, 7 (Should say find z so the i\pi/2 is in log z.).
S32, p. 100: 1, 2, 5.
S33, p. 104: 1, 2, 6, 7
S35, p. 108: 2, 10, 15, 16.  (Moved to text homework assignment.)
______________________________________________________

Homework #5: (Due Tuesday, November 2 in Section.)

S35, p. 108:  
S34 on p. 108-109:  2, 10, 15, 16.
S36, p. 114: 1, 2..
S38, p. 121: 1 and 5  (do not turn in)
S39, p. 125-126: 1, 3
S42, p. 135: 3, 6, 7, 8, 11a
S43, p. 140-141:  1, 2, 4, 5.
______________________________________________________

Homework #6: (Due Tuesday, November 9 in Section.)

S45, p. 149: 2, 4, 5.
S 49, p. 160-163: 1, 2, 7
S52, p. 170-172: 1, 2,  5, 7
S54, p. 178-180: 1, 3, 5.
______________________________________________________

TEST #2:  Wednesday November 10 in class
______________________________________________________

Homework #7: (Due Tuesday, November 16 in Section.)

S52, p. 170-172: 1, 2,  5, 7  (Hint: for 2a use an extension of the Cauchy Integral formula.)
S54, p. 178-180: 1, 3, 5.
S56, p. 188: 2, 4, 6
S 59, p. 195: 1-3, 7, 12, 13.
S66, p. 219: 1-3.
______________________________________________________

Homework #8: (Due Tuesday, November 23 in Section.)

S66, p. 219: 1-3.
S67, p. 225. 1, 3, 4.
S79,  p. 267. 4, 6,  8,   
S 81, p. 275. 4, 6, 8   (Please use the Corollary (above) of Jordan's lemma when solving these problems.)
 
Also compute the following integral

where a>0 and b>0 and  a  is not equal to  b. 
(Hint: Use the Residue theorem method from class where we computed the integrals of (1+x²)^-1 and   (1+x⁴)^-1.)

______________________________________________________

Homework #9: (Due Tuesday, November 30 in Section.)

S71, p. 239: 1.
S74, p. 248. 3, 5.
S79,  p. 267. 2.
S 81, p. 275. 3.
S85, p. 290:  1, 3. 

______________________________________________________

Final Exam:  Thursday December 9, 11:30a - 2:29p.