| Date or date due | Assignment or event | |
| Wednesday, Jan. 20 | First day of class | |
| Monday, Jan. 25 | Last day to add a course | |
| HW #1 | Friday, Jan. 29 |
Suggested practice problems: (these problems need not be turned in)
Do all of the exercises suggested in the lecture notes. Chapter 1: 2b, 4, 5, 7, 8, 13ad, 14ce, 22, 26a, 27c, 28a, 29b, 30, 36, 37, 38, 41, 42, 49, 50, 52 Instructor-corrected problems: (these problems should be turned in) Chapter 1: 31, 39, 51 |
| Monday, Feb. 1 | Last day to drop a course | |
| HW #2 | Friday, Feb. 5 |
Suggested practice problems: (these problems need not be turned in)
Chapter 2: 1, 2, 4, 9a Instructor-corrected problems: (these problems should be turned in) Chapter 2: 3, 6, 9b |
| HW #3 | Friday, Feb. 12 |
Suggested practice problems: (these problems need not be turned in)
Chapter 2: 11, 13. Do 22 if you want a challenge. Instructor-corrected problems: (these problems should be turned in) Chapter 2: 18, 20, 21 |
| Friday, Feb. 19 | First midterm exam–good luck! | |
| HW #4 | Friday, Feb. 26 |
Suggested practice problems: (these problems need not be turned in)
Chapter 2: 24, 25a, 33 Chapter 3: 2, 9, 10, 11, 14, 15, 16, 20bcd, 21 Instructor-corrected problems: (these problems should be turned in) Chapter 2: 25b Chapter 3: 11f, 13, 20a. On Problem 20, find the power series using (i) derivatives of f at P, and (ii) the formula for the sum of a geometric series (1/(1-w)=1+w+w²+w³+... provided |w|<1.) |
| HW #5 | Friday, Mar. 4 |
Suggested practice problems: (these problems need not be turned in)
Chapter 2: 36, 38, 40 Chapter 3: 28, 29, 34, 36, 39, 40, 42. Prove Theorem 3.4.4. Do problem (AB 4) in this file. Instructor-corrected problems: (these problems should be turned in) Chapter 2: 37 Chapter 3: 27 Do problems (AB 1), (AB 2) and (AB 3) in this file. |
| HW #6 | Friday, Mar. 11 |
Suggested practice problems: (these problems need not be turned in)
Chapter 4: 1, 2, 3, 6, 10, 13, 18 Instructor-corrected problems: (these problems should be turned in) Chapter 4: 5, 9, 27(abhi) |
| Tuesday, Mar. 15 | Office hours canceled | |
| Thursday, Mar. 17 | Office hours at 3:30 rather than 2 | |
| Friday, Mar. 18 | Second midterm exam–good luck! | |
| Mar. 21–25 | Spring break–have fun! | |
| HW #7 | Friday, Apr. 1 |
Suggested practice problems: (these problems need not be turned in)
Chapter 4: 26, 29, 33, 34ace, 35, 38, 39, 41, 42, 47, 48, 59, 60, 66. Prove Theorem 4.7.7. (A proof is given in the text, but do try to prove it on your own.) Instructor-corrected problems: (these problems should be turned in) Chapter 4: 34b, 36, 50. There is one choice of k and α such that the conclusion of Problem 36 is not true; what are they? |
| HW #8 | Friday, Apr. 8 |
Suggested practice problems: (these problems need not be turned in)
Chapter 5: 1, 3, 6, 7, 8. Try to solve problem 8 (a) without Rouché's theorem, and (b) using Rouchés theorem. Instructor-corrected problems: (these problems should be turned in) Chapter 5: 2, 4, 5 |
| HW #9 | Monday, Apr. 18 |
Suggested practice problems: (these problems need not be turned in)
Chapter 5: 10, 11, 12, 16, 17, 18 Chapter 6: 6, 8. Do 3, 7 if you are fond of algebra. Instructor-corrected problems: (these problems should be turned in) Chapter 5: 10f, 13 Chapter 6: 5 |
| Friday, Apr. 22 | Last day to withdraw from a course | |
| Friday, Apr. 22 | Third midterm exam–good luck! | |
| HW #10 | Friday, Apr. 29 |
Suggested practice problems: (these problems need not be turned in)
Chapter 6: 11, 12, 13, 15. Do problem (AB 5) in this file. Instructor-corrected problems: (these problems should be turned in) Chapter 6: 14 Do problem (AB 6) in this file. |
| Wednesday, May 4 | Last day of class | |
| HW #11 | Wednesday, May 4 |
Suggested practice problems: (these problems need not be turned in)
Chapter 6: 18, 19, 21, 25 Instructor-corrected problems: (these problems should be turned in) Chapter 6: 17, 23, 31 Complete the online course evaluation by Friday, May 6. Extra credit will be given for a screenshot of your list of remaining evaluations. (Please do not send me a screenshot that allows me to see your response to any questions on the evaluation.) |
| Monday, May 9 | Final exam, 10:15 a.m.–12:15 p.m. Good luck! Here are some practice problems; be sure to also review your homework problems. |
| Lecture | Mon, Wed, Fri, 10:45--11:35 p.m., SCEN 604 |
| Instructor | Ariel Barton |
| aeb019@uark.edu | |
| Office | SCEN 222 |
| Office hours |
Tuesday 2:00, Wednesday 3:00–3:30, Thursday 9:30, or by appointment.
No class meetings or office hours will be held on days when the university is closed due to inclement weather. |
Course Description: Complex numbers, analytic functions, power series, complex integration, Cauchy's Theorem and integral formula, maximum principle, singularities, Laurent series, and Mobius maps.
Prerequisites: MATH 4513.
Text: Function Theory of One Complex Varible, Third Edition, by Robert E. Greene and Steven G. Krantz.
Homework: Assignments will be posted to this course website. The complete assignment will be posted at least four days before the due date.
I expect to have 11 assignments over the course of the semester; your two lowest scores will be dropped and the remaining 9 assignments will comprise 20% of your course grade.
Tests: There will be three midterms tests and a final exam. I plan to hold midterm exams during class time Weeks 5, 9 and 13, on February 19, March 18 and April 22.
The final exam will occur in our regular classroom at the time indicated on the registrar’s website.
Make-up exams will only be given in exceptional circumstances (at the instructor’s discretion), and then only when notice is given to the instructor beforehand and a suitable written excuse forthcoming.
If you require extra accommodations on an exam, notify your instructor as soon as possible, but in all cases at least one week before the exam is to be held.
Course grade: Here is how I plan to weigh your grades:
| Homework | 20% |
| Midterm tests | 15% each |
| Final | 35% |
Incompletes: Only given in extreme circumstances, and only when the student has satisfactorily completed all but a small portion of the work in the course. Students must make prior arrangements with the professor well before the end of the semester.