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|
||Prerequisites: (MATH222 AND MATH221) OR (MATH222 AND MATH223)
||Fulfills a Major Requirement for: (CIS)(COMP)(MATH)(NS&B)
||Past Enrollment Probability: Not Available
|SECTION 01 In-person only|
|Major Readings: Wesleyan RJ Julia Bookstore
Brown, COMPLEX VARIABLES & APPLICATIONS, 8th Edition, ISBN 9780073051949
|Examinations and Assignments: |
|Additional Requirements and/or Comments: |
Students should already have taken MATH222, and one of MATH223 or MATH228.
|Instructor(s): Adeboye,Ilesanmi Times: ..T.R.. 02:40PM-04:00PM; Location: SCIE139; |
|Total Enrollment Limit: 25||SR major: 6||JR major: 7|| || |
|Seats Available: 7||GRAD: X||SR non-major: 2||JR non-major: 3||SO: 7||FR: 0|
|Drop/Add Enrollment Requests|
|Total Submitted Requests: 0||1st Ranked: 0||2nd Ranked: 0||3rd Ranked: 0||4th Ranked: 0||Unranked: 0|