1. Senior Seminar in Mathematics Math 495 Course Syllabus
Class Periods: 11:90pm-11:50pm MWF
Classroom: Thompson Hall 303
Instructor: Mei Q. Chen, Thompson Hall 328
Phone: (843) (office)

2. Math 495 Course Syllabus Task 1: Introduction to Complex Variables
Chapters 2-5 of “The Fundamental Theorem of
Algebra” by B. Fine and G. Rosenberger, 1997
Main topics are complex numbers, complex
polynomials and properties, complex
analysis, differentiation in complex variable,
analytic functions, and complex integration.
Two proofs of the Fundamental Theorem of Algebra
will be studied. One proof is based on calculus and
the other uses Liouville’s theorem in complex
analysis.
Two hour exams: Sept 24 & Oct 29, Homework

3. Math 495 Course Syllabus Task 2: Major Field Test in Mathematics
Wednesday, Nov 12
A two-hour exam (given by ETS)
required by the Dept
More information
Sample problems

4. Math 495 Course Syllabus Task 3: Term Project Suggested topics:
(1) Eigenvalues and Eigenvectors of Matrices over a Finite Field
(2) Properties of Special Square Matrices over a Finite Field
(3) Inverse Eigenvalue Problems Arising in Population Models
Presentations: Monday, December 8
Papers: 1st draft/Dec 1, and 2nd draft/Dec 15
Papers from Spring, 2007
Papers from Fall, 2007

5. Math 495 Course Syllabus Grading Policy:
Introduction to Complex Variables – 40%
(2) Major Field Test in Mathematics – 20%
(3) Term Project - 40%

6. Math 495 – Course Syllabus
Office Hours/ESP Study Sessions
(1) Office Hours:  
2:30-4:00pm, MRWF
TH328
(2) ESP Study/Help Sessions   8:00pm-9:30pm MR
TH 319