TIME OF MEETING: | Tue & Thr 9:45 - 11:05 |
PLACE: | HU 0023 |
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. |
PRE-REQUISITE: |
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.