Course Content and Outline
Review of vector
properties: the dot product and cross product.
functions: Parameterized Curves, arc length.
Several Variables. Functions of several variables, Limits, The derivative,
Higher-order Partial Derivatives, The Chain Rule, Directional Derivatives and
Maxima and minima in
several variables, Differentials and Taylor’s formula, Extrema, Lagrange
Areas and volumes. Double integrals. Triple integrals and change of variables.
Introduction to vector
analysis. The theorems of Stokes and Gauss and their applications; intrinsic
definitions of gradient, divergence and curl; Poincare's lemma, scalar and
MODE OF DELIVERY
Lecture and discussion
- Reading and problem assignments
- Whiteboard and Markers
- Flip Charts
- LCD Projectors
- CDs, DVDs and Tapes