Time and Room: MWF 11:15am-12:05pm, LGRT 202 (Class number 15235)

Instructor:  Zhigang Han
                    Office: LGRT 1340
                    Phone: (413)545-0139
                    Email: han AT math.umass.edu
                    Office Hours: M 1-2 in Math/Stat Res Ctr LGRT 110, M 2-3, W 1-2 or by appt. in my office.

Textbook: Complex Variables and Applications, 8th Edition, James W. Brown and Ruel V. Churchill, McGraw-Hill, 2009.

Course Description: Math 421 gives an introduction to functions of a complex variable. Topics include: Complex numbers, functions of a complex variable and their derivatives (Cauchy-Riemann equations). Harmonic functions. Contour integrals and residue calculus. Power series representations. Conformal mappings. Applications: Calculation of definite integrals, boundary value problems (Dirichlet's problem) from science and engineering. Prerequisites: Math 233.

Grading Policy: The grading of the course will be as follows: Homework for 15%; Quizzes for 10%; Two midterm exams each for 20%; Final exam for 35%. The scale for letter grades is as follows:

A: 88% - 100%	C: 66% - 71%
A-: 85% - 88%	C-: 63% - 66%
B+: 82% - 85%	D+: 60% - 63%
B: 77% - 82%	D: 55% - 60%
B-: 74% - 77%	F: 0% - 55%
C+ 71% - 74%

Exams: There will be two in class midterm exams. The final exam will be comprehensive, although weighted towards the material not covered in the two midterm exams. The schedule of exams are as follows.

                      Midterm I:    Monday, March 02.
                      Midterm II:   Monday, April 13.
                      Final exam:   Tuesday, May 19, 10:30am-12:30pm; LGRT 101.

Make-up policy: Make-up exams will be given only for circumstances as defined by Official University Regulations. For instance, it will not be possible to give make-ups to accommodate travel plans. Two weeks notice is required to request a make-up if you have an official conflict.

Quizzes: There will be a total of 5 to 6 quizzes (usually on Wednesdays). Information will be posted through the link on the left when available. No make-up quizzes will be given. However, the lowest score will be dropped.

Homework: Homework will be assigned each week and will be collected on Wednesdays. The assignments will appear through the link on the left. No late homework will be accepted. However, the lowest two scores will be dropped. You are encouraged to work with or to get help from your fellow students. However, you must write your own solutions, and you must name all your collaborators. Failure to do so may result in disciplinary action.

Attendence: Attendence and participation are important for your success in this course. Frequent absence or active class participation will be reflected in your grade, one way or the other.

Calculator Policy: Calculator is allowed for the course, including during the exams.