COURSE OUTLINE FOR MATH 301: APPLIED ANALYSIS • Text: Fundamentals of Complex Analysis for Mathematics, Science and Engineering, by E. Saff, A. Snider. • References: Churchill and Brown: Complex Variables and Applications. Levinson and Redheffer: Complex Variables. • Note: To some extent we will cover material that is not in these texts. The class notes will be important! • Topics: • Complex Integration: 1 Week • Multi-Valued Functions: 1.5 Week • Integrals Involving Multi-Values Functions: 1 1/2 weeks • Conformal Mapping and Applications: 3 weeks • Nyquist Criterion; Poles and Zeroes of Complex functions. 1 week • Laplace Transform: 2 weeks • Fourier Analysis: 2 weeks • Grading: There will be weekly homework assignments due each Monday. The weighting will be: Final 50%, 2 Midterms 15% each, HW 20%. No late homeworks will be accepted. However, we will drop the two lowest homework grades. • Instructor: Michael Ward, Tel: 822-8571. Office, the Institute for Applied Mathematics Director’s Office, Room 311, LSK. 1