| |
Links:
Math Department
LSU Home Page
Am. Math Soc.
Math. Assoc. Am.
Nat. Sci. Found.
Siblinks:
Barbara
Michael
Patrick
Art
Birds
|
|
|
Complex Variables
Math 4036-1
Louisiana State University
Spring Semester, 2010
Prof. Stephen Shipman
Place: Room 132 of Lockett Hall
Time: Tuesday and Thursday from 12:10 to 1:30
Office: Room 314 of Lockett Hall
Telephone: 225/578-1674
Email: shipman@math.lsu.edu
Office Hours: Tuesday and Friday 9:30-11:30 or by appointment
For a PDF version of the basic course information on this page,
click here: 4036syl.pdf
Textbook
Complex Variables and Applications, by J. W. Brown and R. V. Churchill.
Course Description
Complex functions of one complex variable; analytic functions, integration, power series, residues, and conformal mapping.
The prerequisite for this course is Math 2057, multivariable calculus.
Course Content
The content of the course will span most of the text book, with some subsections being omitted. Some of the key ideas are the following:
- Algebraic, geometric, and analytic structure of the set of complex numbers.
- Complex-analytic functions and the differential and integral calculus thereof.
- Power series.
- Computing integrals using poles of complex functions and their "residues".
- Mapping by elementary functions; conformal mapping (preservation of angle).
- Applications to boundary-value problems for harmonic functions.
Assignments
Due date |
Section |
Problems to do; those in red are to be submitted. |
| Thurs., Jan. 28
| Chapter 1
| p.12: 2, 3, 5, 6; p.14: 1, 2, 9, 12; p.22: 1, 5, 9, 10; p.29: 2, 4, 5, 8.
|
| Thurs., Feb. 4
| Chapter 2
| p.44: 3, 4; p.55: 5, 10, 11; p.62: 2, 3, 9; p.71: 1, 4, 6, 8, 10; p.77: 6, 7.
|
| Thurs., Feb. 11
| Chapter 3
| p.92: 1, 3, 6; p.97: 3, 4, 5, 9, 10; p.100: 2, 4; p.104: 1; p.108: 9, 16; p.111: 1, 14, 16.
|
| Fri., Feb. 19
| Chapter 4
| p.135: 1, 3, 6, 7; p.140: 1, 3, 5, 7.
|
| Tue., Feb. 23
| Sec. 1-43
| Exam 1
|
| Fri., Mar. 5
| Chapter 4
| p.135: 10; p.149: 2, 3, 4, 5; p.160: 1, 2, 3, 6.
|
| Thurs., Mar. 11
| Chapter 4
| p.170: 1, 4, 5, 7, 10; p.179: 6, 9.
|
| Thurs., Mar. 25
| Chapter 5
| p.195: 1-13, 3, 11, 12; p.205: 1-8, 2, 7; p.219: 1, 2, 4, 5, 6, 8.
|
| Thurs., Apr. 1
| Chapter 6
| p.239: 2, 6; p.243: 4, 5; p.248: 6, 7; p.255: 5, 7.
|
| Thurs., Apr. 15
| Sec. 44-77
| Exam 2
|
| Fri., May 7
| Chapter 7
| p.267: 5, 7, 8; p.276: 8, 10; p.286: 1, 3, 6;
|
| Fri., May 14
| 5:30-7:30
| Final Exam
|
Exam schedule
- Exam 1: Tuesday, February 23
- Exam 2: Thursday, April 15
- Final Exam: Friday, May 14, from 5:30 to 7:30
Evaluation
Evaluation of performance in the course is based on scores on the exams, assignments and the final exam as follows:
- Assignments: 25%
- Exam 1: 25%
- Exam 2: 25%
- Final exam: 25%
Ethical Conduct
Students may discuss problems with each other and other people and consult other literature; however, all work that is turned in must ultimately be that of the submitter alone. If a student receives aid on an assigned problem from discussions with people or other sources, he or she must begin from scratch in writing the solution so that the result is the product of his or her own understanding alone. No joint work in any capacity may be submitted for evaluation.
Students must abide by the LSU
Code of Student Conduct .
|
