TIME OF MEETING: | Tue & Thr 1:00 - 2:20 |
PLACE: | ES 142 |
INSTRUCTOR: | Karin Reinhold, ES 128A, phone 442-4641 |
Office hours: 2:25-3:00 Tues Thrs or by appt., or by e-mail. | |
TEXT: | Advanced Calculusd, by Folland, Prentice hall. |
PRE-REQUISITE: |
Preliminars: some topology of euclidean spaces, sun=bsets, limits
and continuity, sequences, completeness, compacteness, connectedness,
uniform continuity.
Differential Calculus in R^n: Diferentiability, algebra of
differentiable functions, differentiation of vector valued functions, the
Chain Rule, the Mean Value Theorem. Higher order partial derivatives,
Taylor's Theorem, critical points, extreme value problems. Vector valued
functions.
Implicit Functions: The Implicit Function theorem, curves in the
plane, surfaces and curves in space, transformations and coordinate systems,
functional dependence.