MAT 3730
Complex Variables
Spring 2010
 

Current Assignments

• Last Homework, Due Friday, June 4: Exercises #1, 2, 5, 7, 11, 14, 15, 19, and 23 from Section 18.4.  Also #2 and 10 from Section 19.6  Solutions

Tentative Future Assignments

Past Assignments and Solutions

• Due Monday, April5:  Turn in homework #1.  Solutions.  The webpage you are asked to read is http://math.fullerton.edu/mathews/c2003/ComplexNumberOrigin.html.
   

• Due Friday, April 7 (please drop in my mailbox):

  • Turn in Exercises 2, 9, 12, 16, 18, 24, 28, and 30 from Section 17.1.
    Also, prove (3), (6), (8), and (13) from the list given in class of properties of the complex conjugate and the modulus.  (see the third page of the handout "A Definition for the Complex Numbers")
    Solutions

  • Please make sure that you have read sections 17.1 and 17.2 from the text.  (Note that example 5 on p. 804 in the 3rd edition is incorrect...)
     

• Due Wednesday, April 14:

  • Read section 17.3.

  • Turn in Exercises 2, 8, 16, 23, 24, 28, 32, 34, 35, 36, and 38 from Section 17.2.  Solutions
     

• Due Friday, April 16:
  Turn in exercises 2, 4, 6, 8, 9, 12, 14, 15, 18, 19, 22, 23, and 26 from Section 17.3. Solutions
  (For #26, please change the right side of the equation from 1 to 4).
   

• Due Friday, April 23:
  Turn in all of the following:  Solutions

  • Section 17.4, exercises 10, 14, 17, 18, 19, 20, 22, 23, 24, 26, 28, 30, 32, 34, and 39.

  • Prove the quotient rule for derivatives.

  • Also, let .  Show that does not exist.
     

• Due Monday, April 26:

  • From section 17.4, look at example 1 and then complete and turn in exercises 1-6. Solutions

  • Read section 17.5
     

• Due Wednesday, April 28:  (updated after class on Monday, 4/26)

  • Read Section 17.6

  • Turn in exercises 4, 8, 12, 15, 16, 17, and 18 from Section 17.6.    Solutions
     

• Due Friday, April 30:
  Turn in exercises 1, 4, 8, 11, 14, 16, 17, 20, 22, 24, 27, and 28 from Section 17.5 and exercises 21 and 22 from Section 17.6. Solutions
   

• Due Monday, May 3:
  Exercises 2, 4, 5, 8, 10, 12, 23, and 30 from Section 17.7.  Also prove that (a) the derivative of sec(z) is sec(z)tan(z) and (b) the derivative of sinh(z) is cosh(z).  Solutions
   

• The in-class midterm will be Friday, May 7.  The take-home midterm is also due by 2:00 on Friday, May 7.
   

• Due Friday, May 14:
  Exercises 26, 32, 34, 36, 38, 42, 44, 45, 46, 47, and 48 from Section 17.6. Solutions
   

• Due Wednesday, May 19:
  Homework #11 (handout given out in class) Solutions (the Holo graphs are currently missing from the solutions since I can't access Matlab from off campus; I'll try to add them later)
   

• Due Monday, May 24:
  Exercises 2, 5, 8, 12, 13, 19, 20, and 26 (use Thm. 18.3 for 26; look at Example 4) from Section 18.1 (on all of the exercises from 18.1, please directly use parametrizations of the contours to evaluate the integrals; do NOT use any of the "shortcuts" that are covered in later sections, even if we have started to discuss them in class)  Solutions
   

• Due Friday, May 28:
  Exercises 4, 11, 12, 15, 17, and 21 from Section 18.2. (you should be able to do all of these using theorems from the book or class; virtually no computations should be needed other than partial fractions, but please clearly explain/justify all of your answers) Solutions
   

• Due Wednesday, June 2:
  Exercises 1, 4, 10, 12, 17, 19, 20, and 23 from Section 18.3.  In addition:

  • Rework #17 if C is an arc of the same circle, but with t going from Pi/2 to 3*Pi/2.

  • Rework #20 if C is any contour with the same endpoints, and the contour crosses the real axis only once, and the point where it crosses the real axis is in the left half-plane 
    Solutions