|TIME OF MEETING:||Tue & Thr 9:45 - 11:05|
|INSTRUCTOR:||Karin Reinhold, ES 128A, phone 442-4641|
|Office hours: 11:05-11:45 Tues Thrs or by appt., or by e-mail.|
|TEXT:||Fundamental of Complex Analysis, by Saff & Snider, Prentice Hall.|
Complex numbers: the algebra of complex numbers, vector and polar
representations, modulus and conjugation,commplex exponential, powers and
roots, applications to mechanics.
Analytic Functions: functions of a complex variable, limits and continuity, analyticity, Cauchy-Riemann equations, harmonic functions, applications to steady state temperature.
Elementary functions: Exponential, trigonometric and hyperbolic functions, the Log function, complex powers, application to oscillating systems.
Complex integration: Contours and contour integrals, independence of path, Cauchy's integral theorem, Cauchy's integral formula and consequences, application to harmonic functions.
Series: Sequences and series, Taylor Series, power series, Laurent series.
Residue Theory: The residue theorem and applications to certain trig integrals.