Math 14 - Syllabus

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

Date	section	Description
Monday– Jan 6, 2003	1.1-1.5	The geometry of Euclidean space
Wednesday - Jan 8, 2003	2.1, 2.2	The geometry of real-valued functions Limits and continuity
Friday – Jan 10, 2003	2.3, 2.4, 2.5	Differentiation, Introduction to paths, Properties of the derivative
Saturday – Jan 11, 2003 the class is shifted to the x-hour on Jan 14
Monday  - Jan 13, 2003	2.6, 3.1	Gradients and directional derivatives.  Iterated partial derivatives.
Tuesday – Jan 14, 2003 x-hour	3.2	Taylor's theorem.
Wednesday  - Jan 15, 2003	3.3, 3.4	Extrema of real-valued functions  Constrained extrema and Lagrange multipliers.
Friday - Jan 17, 2003	3.5, 3.6	The implicit function theorem Some applications
Monday - Jan 20, 2003	Martin Luther    King Jr. Day	Classes moved to the X-hour
Tuesday – Jan 21, 2003 x-hour	4.1, 4.2	Acceleration and Newton's Second Law Arc Length
Wednesday  - Jan 22, 2003	4.3, 4.4	Vector fields Divergence and curl
Friday - Jan 24, 2003	4.4, 5.1	Divergence and curl. The double Integral.
Monday – Jan 27, 2003	5.1, 5.2	The double integral
Wednesday - Jan 29, 2003	5.3, 5.4	The double integral over more general regions  Changing the order of integration
Friday - Jan 31, 2003	5.6	The triple integral
Monday - Feb 3, 2003	6.1, 6.2	The geometry of maps from R^2 to R^2  The change of variables theorem
Wednesday – Feb 5, 2003	6.2, 6.3	The change of variables theorem Applications of double and triple integrals
Friday – Feb 7, 2003	Winter Carnival	Classes moved to the X-hour
Monday Feb 10, 2003	6.3, 6.4	Applications of double and triple integrals Improper integrals
Tuesday - Feb 11, 2003 x-hour	7.1, 7.2	The path integral The line integral
Wednesday  - Feb 12, 2002	7.3	Parametrized surfaces
Friday - Feb 14, 2003	7.4	Area of a surface
Monday – Feb 17, 2003	7.5	Integrals of scalar functions over surfaces
Wednesday  - Feb 19, 2003	7.6	Surface integrals of vector functions
Friday  - Feb 21, 2003	8.1	Green's theorem
Monday – Feb 24, 2003	8.2	Stoke's theorem
Wednesday - Feb 26, 2003	8.3	Conservative fields
Friday - Feb 28, 2003	8.4	Gauss' theorem
Monday - March 3, 2002	8.5	Applications to physics, engineering, and differential equations
Wednesday - March 5, 2003	8.6	Differential forms
Friday - March 7, 2003		Review

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Last updated: January 1, 2003