 
Summary: HONORS MULTIVARIABLE CALCULUS, MTH254H
CASIM ABBAS
Tentative Course outline
(1) Functions, Limits, Continuity (4 lectures)
(a) Scalar and vector valued functions
(b) A bit of topology in Rn
(c) Limits and continuity (2 lectures)
(2) The derivative (8 1/2 lectures)
(a) Partial derivatives and directional derivatives (1/2 lecture)
(b) Differentiability (2 1/2 lectures)
(c) Differentiation rules (1 lecture)
(d) The gradient (1/2 lecture)
(e) Curves (2 lectures)
(f) Higher order partial derivatives (1/2 lecture)
(g) Implicit and explicit solutions to systems of equations: Introduction
to manifolds (1 1/2 lectures)
(3) Extremum Problems (3 1/2 lectures)
(a) Compactness and the maximum value theorem (1 1/2 lectures)
(b) Maximum/Minimum problems (1 lecture)
(c) Quadratic forms and the second derivative test (1 lecture)
