Instructor: Professor Pete L. Clark, Ph.D., pete (at) math (dot) uga (dot) edu
Course webpage: http://www.math.uga.edu/~pete/MATH4150F2017.html (i.e., right here)
Office Hours: Boyd 502, TBA
Course Text (required): A First Course in Complex Analysis, by Beck, Marchesi, Pixton
and Sabalka.
Good news: the text is freely available online! Please
click here to download a
copy.
For information on grades, exams and other procedural matters, please consult the
course syllabus.
Some Refresher Notes:
Lecture Notes on Mathematical Induction:
click here
These are supplemental lecture notes on mathematical induction. They were
written for Math 3200.
I think they might be helpful for this course as well, so I have included a link
to them. If you don't find them to be helpful, please feel free to ignore them:
there is no required material here.
Notes on Sequences and Series:
click here
This is a moderately revised/expanded version of Malcolm Adams's 3100 course text that I used for
my Fall 2016 3100 course. In the second half of the course we will make use of much of this material
(for functions of a complex variable, but it will turn out to be very similar). The course text includes
a treatment of this, but it might be helpful to look back at these notes as well.
Notes on Honors Calculus:
click here
These are (expanded) notes from a full year course (Math 2400-2410) on a theoretical approach to calculus
that is no longer taught at UGA. (Roughly it corresponds to Math 3200 + Math 3100 + portions of Math 4100.) Sometimes in our course we will skip the proof of some fact of complex calculus because it is "the same
as the corresponding fact of real calculus". You should be able to find those corresponding proofs here.
COURSE ANNOUNCEMENTS :
Welcome to the course!
HOMEWORK
Assignment 1: Due in class, Thursday, August 24, 2017
4000 level problems: Chapter 1, exercises 1.2, 1.3, 1.4, 1.5, 1.7, 1.8, 1.9, 1.11, 1.12, 1.22 [prove any five parts]
6000 level problems: All of the above, and also see this handout.
Assignment 2: Due in class, Thursday, August 31, 2017
4000 level problems: Chapter 1, exercises 1.13, 1.15, 1.20 1.23, 1.24, 1.27, 1.28, 1.29, 1.31
6000 level problems: All of the above, and also see this handout.
Assignment 3: Due in class, Thursday, September 7, 2017
4000 level problems: Chapter 2, exercises 2.2, 2.3, 2.5, 2.6, 2.11, 2.14, 2.16, 2.19
6000 level problems: All of the above, and also see this handout.
Assignment 4: Due in class, Thursday, September 14, 2017
4000 level problems: Exercises 2.25, 2.26, 2.28, 3.1, 3.9, 3.19, 3.31, 3.32, 3.34 [do any
three parts]
6000 level problems: All of the above, and TO BE ANNOUNCED SOON! Assignment 5: Due in class, Thursday, September 28, 2017
4000 level problems: Exercises 3.5, 3.10, 3.13, 3.14, 3.25, 3.26, 4.1, 4.2, 4.3
6000 level problems: All of the above, and also see this handout.
Assignment 6: Due in class, Thursday, October 5, 2017
4000 level problems: Exercises 4.4, 4.7. 4.8 [any three parts], 4.13, 4.14, 4.29, 4.33, 4.34
6000 level problems: All of the above, and also see this handout.
Assignment 7: Due in class, Tuesday, October 24, 2017
4000 level problems: Exercises 4.28, 5.1 (any two parts), 5.4, 5.13, 5.14, 5.18, 5.20, 6.5, 7.1, 7.2
6000 level problems: All of the above, and also see this handout.
Assignment 8: Due in class, Thursday, November 2, 2017
4000 level problems: Exercises 7.3, 7.8, 7.15, 7.25, 7.26, 7.27, 7.29, 8.1, 8.9, 8.10
6000 level problems: All of the above, and also see this handout.
Assignment 9: Due in class, Tuesday, November 14, 2017
4000 level problems: Exercises 8.12, 8.14, 8.17, 8.18, 8.19, 8.25, 8.29, 8.32, 8.34
6000 level problems: All of the above, and also see this handout.
Assignment 10: Due in class, Tuesday, November 28, 2017
4000 level problems: Exercises 9.1, 9.2, 9.3, 9.4, 9.6, 9.11, 9.12, 9.14
Assignment 11: Due in class, Tuesday, December 5, 2017
4000 level problems: Exercises 9.5 (any three parts), 9.7, 9.8 (any three parts), 9.10, 9.15, 9.17.
6000 level problems: All of the above, and also see this handout.
Review Materials: