Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the daily schedule on our Canvas website will be updated regularly.

Lectures Sections in Text Brief Description
Week 1 1.1-1.6 Algebra of Complex numbers
Week 2 2.1-2.5 Analytic functions
Week 3 3.1-3.5 Elementary functions
Week 4 4.1-4.3 Complex integration: Contour integrals
Week 5 4.4-4.5 Complex integration: Cauchy's Theorem and Cauchy's Formula
To be confirmed Midterm 1
Week 6 4.6, 5.1-5.2 Bounds for analytic functions, Taylor series
Week 7 5.3, 5.5 Power series, Laurent series
Week 8 5.6, 6.1-6.2 Zeros and singularities, Residue Theorem, Trig integrals
To be confirmed Midterm 2
Week 9 6.3-6.4 Improper integrals
Week 10 6.7, 8.1-8.2 Argument Principle, Applications
To be confirmed Final Exam