This is a tentative syllabus. This page will be updated irregularly.
 
 
 

Date	section	Description
Friday - Jan 4, 2002	1.1-1.5	The geometry of Euclidean space
Saturday - Jan 5, 2002	2.1, 2.2	The geometry of real-valued functions Limits and continuity
Monday - Jan 7, 2002	2.3, 2.4, 2.5	Differentiation, Introduction to paths, Properties of the derivative
Wednesday  - Jan 9, 2002	2.6, 3.1	Gradients and directional derivatives.  Iterated partial derivatives.
Friday - Jan 11, 2002	3.2, 3.3	Taylor's theorem. Extrema of real-valued functions
Monday  - Jan 14, 2002	3.4, 3.5	Constrained extrema and Lagrange multipliers.  The implicit function theorem
Wednesday - Jan 16, 2002	3.6	Some applications
Friday - Jan 18, 2002	4.1, 4.2	Acceleration and Newton's Second Law Arc Length
Monday - Jan 21, 2002	Martin Luther    King Jr. Day	Classes moved to the X-hour
Wednesday  - Jan 23, 2002	4.3, 4.4	Vector fields Divergence and curl
Friday - Jan 25, 2002	5.1, 5.2	The double integral
Monday - Jan 28, 2002	5.3, 5.4	The double integral over more general regions  Changing the order of integration
Wednesday - Jan 30, 2002	5.6	The triple integral
Friday - Feb 1, 2002	6.1, 6.2	The geometry of maps from R^2 to R^2  The change of variables theorem
Monday - Feb 4, 2002	6.2, 6.3	The change of variables theorem Applications of double and triple integrals
X-period Tuesday Feb 5, 2002	6.3, 6.4	Applications of double and triple integrals Improper integrals
Wednesday - Feb 6, 2002	7.1, 7.2	The path integral The line integral
Friday - Feb 8, 2002	Carnival Holiday	Classes moved to the X-period
Monday  - Feb 11, 2002	7.3	Parametrized surfaces
Wednesday - Feb 13, 2002	7.4	Area of a surface
Friday - Feb 15, 2002	7.5	Integrals of scalar functions over surfaces
Monday  - Feb 18, 2002	7.6	Surface integrals of vector functions
Wednesday  - Feb 20, 2002	8.1	Green's theorem
Friday - Feb 22, 2002	8.2	Stoke's theorem
Monday - Feb 25, 2002	8.3	Conservative fields
Wednesday - Feb 27, 2002	8.4	Gauss' theorem
Friday - March 1, 2002	8.5	Applications to physics, engineering, and differential equations
Monday - March 4, 2002	8.6	Differential forms
Wednesday - March 6, 2002		Review

Last updated: January 1, 2002