MTH 425: Intro to Complex Variables
Meeting Time: M: 9:00 AM - 9:50 AM at Math 122
Office Hours: M: 10 AM - 11 AM.
Grading Criteria: Every Thursday (starting January 23, 2025), I will be posting a suggested problems list that consists of 3 problems. I will hold 5 quizzes throughout the semester. The dates of the quizzes will be announced a week before each quiz.
Quiz 1: February 10, 2025 (Section 1.1 - 1.4)
Grade Cutoff: 5% of your course grade comes from recitation. Here are the cutoffs
5 - 85%+, 4 - 70%+, 3 - 55%+, 2 - 30%+, 1 - anything below 30%.
If you have to miss a weekly quiz, I expect you to email me in advance. Otherwise, a make-up quiz might not be granted.
Good References: This course is highly computational, assuming knowledge up to Calculus III. As a result, many of the elegant proofs are either omitted or briefly covered. If you are interested in exploring these proofs in greater detail, please feel free to visit me during office hours, or refer to the following:
Ahlfors, Lars Valerian, and Lars V. Ahlfors. Complex analysis. Vol. 3. New York: McGraw-Hill, 1979.
Stewart, Ian, and David Tall. Complex analysis. Cambridge University Press, 2018.
Conway, John B. Functions of one complex variable I. Springer Science & Business Media, 1978.
(For applied people): Ablowitz, Mark J., and Athanassios S. Fokas. Introduction to complex variables and applications. Vol. 63. Cambridge University Press, 2021.
The first three books listed above complements the textbook for this course. However, some knowledge in basic real analysis is required. If you never took a course in real analysis, take a look at the third book. These books are intended to serve as supplementary references and should not be considered a substitute for the official course textbook.
Week 2: [Notes]
Week 3: Quiz I (Quiz I solution posted shortly)
Week 4 - 5: Derived the Cauchy Riemann equations in week 4 and week 5 [Notes]
Week 6: Quiz II and notes on integration coming up...