We will present the basic properties of complex analytic functions. We begin with the complex numbers themselves and elementary functions and their mapping properties, then discuss Cauchy's integral theorem and Cauchy's integral formula and applications. Then we discuss Taylor and Laurent series, zeros and poles and residue theorems, the argument principle, and Rouche's theorem. In addition to a rigorous introduction to complex analysis, students will gain experience in communicating mathematical ideas and proofs effectively.
Logical Reasoning, Quantitative Reasoning
This course will focus on the creation of formally correct inductive and deductive arguments, and will train students to formulate mathematical theories and descriptions of specific and complex objects.
||Gen Ed Area Dept:
|Course Format: Lecture||Grading Mode: Graded|
||Fulfills a Major Requirement for: (CIS)(COMP)(MATH)(NS&B)
||Past Enrollment Probability: Not Available
|Major Readings: Wesleyan RJ Julia Bookstore
Donald Sarason, COMPLEX FUNCTION THEORY: SECOND EDITION ISBN 13: 978-0-8218-4428-1
|Examinations and Assignments: |
A significant portion of the student's grade will be determined by written and oral presentations given during the fourth hour, and attendance will be required.
|Additional Requirements and/or Comments: |
Students should already have taken MATH222, and one of MATH223 or MATH228.
|Instructor(s): Rasmussen,Christopher Times: .M.W.F. 10:00AM-10:50AM; .M..... 02:40PM-03:30PM; Location: SCIE137; SCIE121; |
|Total Enrollment Limit: 25||SR major: 0||JR major: 0|| || |
|Seats Available: 4||GRAD: X||SR non-major: 8||JR non-major: 10||SO: 7||FR: 0|
|Web Resources: Syllabus |
|Drop/Add Enrollment Requests|
|Total Submitted Requests: 0||1st Ranked: 0||2nd Ranked: 0||3rd Ranked: 0||4th Ranked: 0||Unranked: 0|