Math 92.411 -- Complex Variables I
Spring 2009
Instructor: D. Klain
Lectures: MW 3:30-4:45 in OS412
Office Hours: MWR 11:30am, and by appointment
Office: OH 428N
Text:
Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics (3rd Edition),
by Edward B. Saff and Arthur Snider, Prentice Hall, 2003.
Homework sets will be assigned for each week (see below). Homework will not be collected except for occasional special problems. However, the homework will account for the most substantial part of your learning, so you should take the homework very seriously. If you do the homework
you will also find the exams much easier.
There will be an in-class midterm exam, two take-home midterm exams, and a
(possible take-home) final exam.
Tentative Exam Schedule
Exam #1 -- 2/23/09 (in class)
Exam #2 -- 3/25/09 (take-home)
Exam #3 -- 4/29/09 (take-home)
Take-Home Final Exam
distributed at this page on May 13 (see bottom of page)
Homework assignments will be announced weekly on this page. Check periodically for updates.
Readings: Saff and Snider, Sections 1.1, 1.2, 1.3
Problem Set #1:
Section 1.1 -- #9, 11, 14, 23
Section 1.2 -- #6, 7dhi, 8, 11, 16
Section 1.3 -- #5a, 3, 11, 17
due Monday, February 2.
Please
hand in boldface problem (1.2 #16 above) in class on Monday, February 2.
Update 1/28/2009: The homework assignment has been adjusted because of the cancellation of Wednesday classes.
The omitted exercises will be included in next week's assignment, so feel free to do them anyways if you would like to read ahead.
Readings: Saff and Snider, Sections 1.3, 1.4, 1.5
Problem Set #2:
Section 1.2 -- #11, 16
Section 1.3 -- #5a, 3, 11, 17
Section 1.4 -- #6a, 8, 10, 11
Section 1.5 -- #7a, 10, 11, 16, 18
due Monday, February 9.
Please
hand in boldface problems in class on Monday, February 9.
Readings: Saff and Snider, Sections 1.6, 2.1, 2.2, 2.3
Problem Set #3:
Section 1.6 -- #2bcd, 3bcd, 4bcd, 5bcd
Section 2.1 -- #1ad, 2ad, 3cd, 7a, 8a, 9a
Section 2.2 -- #7abd, 11, 13, 25abcd
Section 2.3 -- #1, 4a, 7, 9, 11adh
due Tuesday, February 17.
Please
hand in boldface problems in class on Tuesday, February 17.
Readings: Saff and Snider, Sections 2.3, 2.4
Problem Set #4:
Section 2.3 -- #13, 14, 15
Section 2.4 -- #1, 2, 3, 5, 6, 9, 11, 13, 15
The first exam
will be held in class on Monday, February 23.
Readings: Saff and Snider, Sections 2.5, 3.1
Problem Set #5:
Section 2.5 -- #1, 2, 3ab, 6, 8, 14
due Monday, March 2.
Please
hand in boldface problems in class on Monday, March 2.
Readings: Saff and Snider, Section 3.1
Problem Set #6:
Section 3.1 -- #1, 3a, 4, 5ab, 7, 13a
due Monday, March 9.
Please
hand in boldface problems in class on Monday, March 9.
Readings: Saff and Snider, Section 3.2, 3.3, 3.5
Problem Set #7:
Section 3.2 -- #1, 3, 5bc, 9f, 11, 15, 19
Section 3.3 -- #1, 5, 6, 11, 12, 13
Section 3.5 -- #1ad, 2, 3c
due Monday, March 23.
Please
hand in boldface problems in class on Monday, March 23.
The second exam
will be distributed (take-home) at this webpage after class on Wednesday, March 25.
Readings: Saff and Snider, Section 4.1, 4.2
The
take home exam
is due in class at 3:30pm on Monday, March 30.
The test can be found
here.
Late exams will not be accepted, but you may hand in the exam early
(at my office, Olney 428N).
Readings: Saff and Snider, Section 4.2, 4.3, 4.4
Problem Set #8:
Section 4.2 -- #3d, 6, 7, 8
Section 4.3 -- #1acg, 2, 3, 4 (explain!), 5, 7
Section 4.4 -- #3, 9
Please
hand in boldface problems in class on Monday, April 6.
Readings: Saff and Snider, Section 4.4, 4.5
Problem Set #9:
Section 4.4 -- #3, 9, 11, 16, 18
Section 4.5 -- #1, 2, 3adf, 7, 8, 10
Please
hand in boldface problems in class on Wednesday, April 15.
Readings: Saff and Snider, Section 4.6, 5.1, 5.2
Problem Set #10:
Section 4.6 -- #1, 3, 4, 5, 14
Section 5.1 -- #1bcf, 2b, 5, 6, 7abcd, 11
Section 5.2 -- #1df, 2df, 10, 11ab, 15
Please
hand in boldface problems in class on Monday, April 27.
Reminder: Lecture will occur at the
usual time and place on Wednesday, April 22.
Readings: Saff and Snider, Section 5.3, 5.5
Problem Set #11:
Section 5.3 -- #1, 2, 3abde, 5ad 6, 7, 8
Section 5.5 -- #1c, 3, 4, 6, 7a
(More to be added later)
Please
hand in boldface problems in class on Monday, May 11.
The
take home exam
is due in class at 3:30pm on Monday, May 4.
The test can be found
here.
Late exams will not be accepted, but you may hand in the exam early
(at my office, Olney 428N).
Readings: Saff and Snider, Section 5.3, 5.5, 5.6
Last Problem Set:
Section 5.3 -- #1, 2, 3abde, 5ad 6, 7, 8
Section 5.5 -- #1c, 3, 4, 6, 7a
Section 5.6 -- #1, 2, 3, 5, 6
(More to be added later)
Please
hand in boldface problems in class on Monday, May 11.
Please
bring review questions to class on Wednesday, May 13.
The final exam
will be distributed (take-home) at this webpage after class on Wednesday, May 13.
The
Final Exam
is due in my office (Olney 428N) at 3:30pm on Wednesday, May 20.
The test can be found
HERE.
Late exams will not be accepted, but you may hand in the exam early
(at my office, Olney 428N).
Return to my
home page
last updated 5/13/09