Prerequisites. MATH 410 or the equivalent.
Syllabus We will cover chapters I-VI in Conway's book. Topics will include: complex numbers, metric spaces and the topology of the complex plane, analytic functions, Moebius transformations, complex integration, Cauchy's theorem, Cauchy estimates, Liouville's theorem, power series representations, Rouche's theorem, the open mapping theorem, Goursat's theorem, singularities, residues, Laurent series, maximum modulus principle, Schwarz's lemma, and Hadamard's three circles theorem. We will also cover applications as we go along.
Required TextGrading. Your grade will be based on homework, two in-class tests, and a final exam. The homework will count for 20% of your grade, each in-class test for 25%, and the final exam will count for the remaining 30%. Your letter grade will be assigned this way: 90-100%, A; 80-89%, B; 70-79%, C; 60-69%, D; 59% or less, F.
Make-up Policy: I will give make-ups (or satisfactory equivalents) only in cases authorized under TAMU Regulations. In borderline cases, I will decide whether or not the excuse is authorized. Also, if you miss a test, contact me immediately.