MAT 342 - Applied Complex Analysis - Fall 2022
Lectures: MWF 10:30-11:25pm in Earth & Space 131
Office hours: MF 9-10am, or by appointment
Office: Math Tower 3-118
Schedule:
Week # Week of Topics covered
#1 8/22 Complex numbers
#2 8/29 Functions, mappings, limits & derivatives
#3 9/5 Cauchy-Riemann Equations, Analytic functions, harmonic functions
#4 9/12 The exponential function and examples
#5 9/19 Contour integrals
#6 9/26 Antiderivatives and Cauchy–Goursat
#7 10/3 Cauchy-Goursat, Cauchy's Formula, and the max mod principle
#8 10/10 Liouville's Theorem, Fundamental Theorem of Algebra Series, Taylor Series
#9 10/17 Taylor Series and Laurent Series
#10 10/24 Laurent Series and Residues
#11 10/31 Residues, poles, and zeros
#12 11/7 Applications of residues
#13 11/14 Applications of residues & some mappings
#14 11/21 Mappings
#15 11/28 Conformal mappings
#16 12/5 Final Review
Homework:
Homework 1, due August 31
Homework 2, due September 7
Homework 3, due September 14
Homework 4, due September 21
Homework 5, due October 5
Homework 6, due October 12
Homework 7, due October 19
Homework 8, due October 26
Exams:
Midterm 1: Friday September 23rd (?)
Midterm 2: Friday October 28th (?)
Final Exam: 2:15-5:00 PM, Wednesday
December 14, 2022