|Course Overview Math 106 is an introductory course on complex analysis. We begin with complex numbers and basic topology of the complex plane. The course will cover analytic functions, Cauchy's integral formulae, Taylor and Laurent series, evaluation of real integrals using complex techniques, and elementary conformal mappings.
Contact information The best way to reach me is by email at jelicata(at)stanford(dot)edu. You're also encouraged to come to my office hours: Monday, 3:45-5:15, and Tuesday 2:15-3:45. My office is on the second floor of the math department, room 382-K. If you can't make these, please email me and we can set up an appointment to meet. The CA for the course is Jason Lo, and he will have office hours in 380-U1 on Thursday, 2:00-4:00, and Friday, 1:00-2:00.
Prerequisites This class assumes familiarity with single and multivariable calculus, and Math 52 or the equivalent is a formal prerequisite for the course. We will make explicit use of power series (6.1, 6.3, 6.4), limits and continuity (2.5), and line integrals (7.1, 7.2, 7.3). The numbers in parentheses indicate sections of the text which may be useful for reviewing these topics.
Evaluation The course grades is determined by homework (30%), the midterm (30%), and the final exam (40%). The midterm will be held during class on Thursday, February 7. There may also be one or more quizzes during the quarter; these will be announced in class a week in advance and will contribute towards the homework portion of the final grade.
The final exam is scheduled for Thursday, March 20, from 3:30 to 6:30 p.m in our regular classroom.
Homework will be due at the beginning of class every Tuesday. No late assignments will be accepted, but you may contact me to arrange an extension ahead of time if necessary. Homework must be stapled. You are welcome to work on the assignments with other members of the class, but each individual must understand and write up his or her own solutions.
Texts The primary text for the class is Complex Variables and Applications by Ponnusamy and Silverman. Every homework assignment includes readings from the text, and you are strongly advised to read the relevant sections before the corresponding lectures. Although the lectures and reading will often cover similar topics, you are responsible for all the material covered in lecture and in the assigned readings.