Homework

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Reading Assignments and Suggested Problems
Written Assignments
Homework Solutions
Exams
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Reading Assignments and Suggested Problems

The reading assignments given below will generally be a preview of the material you will see in lecture.  My suggestion is to skim the appropriate section prior to lecture to get a sense of the material to be covered.  Then, after each lecture, read the corresponding material more carefully.  When doing this careful reading, it is a good idea to test yourself by attempting to prove each Theorem/Lemma/etc. or complete each computation before reading the proof/computation given in the book.  After attempting the proof/computation yourself, then read the proof/computation given in the book to see if you are right, or to see how to do the parts you couldn't figure out on your own.  Once you are confident that you understand all the details, read the section (at least) once more to make sure the "big picture" is clear.

The problems listed below are meant to reinforce material covered in the preceding lecture or reading assigment.  It is suggested that you read and think about these as soon as possible after the corresponding material has been covered in lecture.


Below: BN=Complex Analysis by Bak and Newman; SO=Schaum's Outline of Complex Variables


For Monday, 5/2:
Study for Final Exam.

For Friday, 4/29:
Prepare questions for review.

For Wednesday, 4/27:
Try problems 6.97 and 6.99 in SO.

For Monday, 4/25:
Reread section 9.2 of BN except 9.13.
Try problems 6.26, 6.96(a),(b), (d), and 6.98(a)-(c), (e).

For Friday, 4/22:
Read section 9.2 in BN stopping at 9.13.
Try problem 11 in Ch. 9 of BN and problems 6.92 and 6.94 in SO.

For Wednesday, 4/20:
Read section 9.2 in BN up through the proof of Theorem 9.9.
Try problems 1 and 6 in chapter 9 of BN.
Turn in optional exam II extra credit.

For Monday, 4/18:
Read chapter 9 of BN up through the proof of Theorem 9.9.
Try problems 7 and 9 in chapter 9 of BN.

For Friday, 4/15:
Read section 9.1 up to (not not including) Theorem 9.5 in BN.
Try problem 8 in Chapter 8 of BN and compute all values of i^(1+i).

For Wednesday, 4/13:
Reread section 8.2 and pages 117-118 in BN.

For Monday, 4/11:
Study for Test II.

For Friday, 4/8:
Prepare questions for in-class review.

For Wednesday, 4/6:
Read section 8.2 in BN.
Try to complete the argument I was giving at the end of class of the following fact: if C is a simple closed curve then the integral of 1/z along C is i2π if 0 is inside the region enclosed by C (more details will be given in class on Wednesday).

For Monday, 4/4:
Skim section 8.1 (the approach I'll take in class will be slightly different).
Try problems 9, 10, and 13 in Chapter 6 of BN.

For Friday, 4/1:
Read Theorem 7.2 and 7.4 (Morera's Theorem) through 7.6 in BN.
Try problem 8 in Chapter 6 of BN, and problems 5.56 and 5.57 in SO.

For Wednesday, 3/30:
Read BN: Corollary 6.10, and 6.12 (Mean Value Theorem) through 6.14 (Minimum Modulus Theorem).
Try problems 1, 3, and 4 in Chapter 6 of BN.
Turn in HW #3.

For Monday, 3/28:
Read section 81-83 in BN (up through the proof of "6.9 Uniqueness Theorem").
Try problems 6 and 7 in Chapter 5 of BN and problem 5.49 in SO.

For Friday, 3/35:
Read section 6.2 in BN and section 5.2 up to 5.12 (the Fundamental Theorem of Algebra).  Also, take another look at Proposition 4.11 in BN which needed in class today (3/23).
Try problems 1-3 in Chapter 5 of BN. Also the suggested problems linked below have been updated with slightly more detailed answers.

For Wednesday, 3/23:
Finish reading section 5.1 and corresponding theorems in section 6.1 in BN.
Try these problems.

For Monday, 3/21:
Read pages 59-61 in BN. Also look at Theorems 6.1-6.4 in BN.
Try problems 4 and 9 in Ch. 4 of BN (for 4 use problem 5 from HW#2).

For Friday, 3/18:
Finish reading section 4.2 in BN.
Try problem 7 in Ch. 4 of BN and problems 4.40-4.41 in SO.
Turn in HW#2.

For Wednesday, 3/16:
Read pages 52-54 in BN.
Try problem 8 in Ch. 4 of BN.

For Monday, 3/14:
Reread section 4.1.
Try problem 6 in Chapter 4 of BN.

Have a nice spring break!

For Friday, 3/4:
Reread section 4.1 in BN.

For Wednesday, 3/2:
Finish reading section 4.1 in BN.
Try Ch. 4 problem 2-3 in BN and problems 4.2-4.3 in SO.

For Monday, 2/28:
Read section 4.1 in BN through Proposition 4.7.

For Wednesday, 2/23:
Try problems 15, 18 in Ch. 3 of BN, and problems 2.61 and 2.68 in SO.
Prepare questions for in-class review.

For Monday, 2/21:
Reread section 3.2.
Try problems 7, 14, 21 in BN, and 3.47(b) in SO.

For Friday, 2/18:
Read section 3.2.
Try problems 8-10 in Chapter 3 of BN and problems 3.47-3.49 in SO.

For Wednesday, 2/16:
(Re)read section 3.1.
Try problems 3-4 in Chapter 3 of BN and problems 3.43-3.45 in SO.

For Monday, 2/14:
Read pages 37-38 in BN.
Try problems 20, 21, 23 in Chapter 2 of BN and problem 1 in chapter 3 of BN.

For Friday, 2/11:
Read pages 35-36 in BN.

For Wednesday, 2/9:
(Re)read section 2.3 in BN.
Try problems 13, 14, 17, 18 in BN and this problem.
Turn in homework #1.

For Monday, 2/7:
Read section 2.3 in BN.
Try problems 8-11 in chapter 2 of BN.

For Wednesday, 2/2 Friday, 2/4:
(Re)read section 2.2 in BN.
Try problem 19a in chapter 2 of BN.

For Monday, 1/31:
Read theorem 1.9 (the "M-test") and pages 26-27 in BN.
Try problems 2.117, 2.119 and 2.128 from SO.

For Friday, 1/28:
Reread pages 12-13 (stop before definition 1.5) and 15-16 (definition 1.8 - theorem 1.10) in BN.
Try problems 2.38 and 2.39 in SO, and problems 5 and 6 in chapter 2 of BN.

For Wednesday, 1/26:
Read pages 12-13 (stop before definition 1.5) and 15-16 (definition 1.8 - theorem 1.10) in BN.
Try problem 1 in chapter 2 of BN.

For Monday, 1/24:
Read pages 23-26 in BN and this (I apologize in advance).
Try problem 3 in chapter 2 of BN and problems 1.43, 1.44 and 1.117 in SO (here "write in conjugate coordinates" means write in terms of z and z-bar variables like I did in class).

For Friday, 1/21:
Skim section 1.4 in BN (most of this material will be covered in lecture in context later as we need it).
Read sections 1.5 and 2.1 in BN.
Try problems 6, 7, 8, 13, and 15 (ignore the part of the question about "regions" for the moment) from Chapter 1 of BN.

For Wednesday, 1/19:
Read pages 9-12 in BN.
Try problems 1.95, 1.97, 1.105, and 1.109 in SO.

For Friday, 1/14:
Read pages 9-12 in BN.
Try problems 1-5 in Chapter 1 of BN.

For Wednesday, 1/12:
Read pages 1-9 in BN.
Try problems 1.14 and 1.15 in SO and/or complete the proof of the theorem stated in class that the complex numbers (as defined in class) form a field.


Written Assignments

HW #0: Fill out and return the info form with homework 1 if you didn't already do so in class.
HW #1 (due 2/7 2/9)
HW #2 (due 3/18)
HW #3 (due 3/30)
HW #4 (due 4/25)

Exam 2 extra credit (optional: due 4/20)








Homework Solutions

HW #1 Solutions
HW #2 Solutions
HW #3 Solutions
HW #4 Solutions