Math 14 - Syllabus

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

Date	section	Description
Wednesday – January 5, 2005	1.1-1.5	The geometry of Euclidean space
Friday – January 7 2005	2.1, 2.2	The geometry of real-valued functions Limits and continuity
Monday – January 10, 2005	2.3, 2.4	Differentiation, Introduction to paths.
Wednesday – January 12, 2005	2.5, 2.6,	Properties of the derivatives. Gradients and directional derivatives.
Friday – January 13, 2005	3.1. 3.2,	Iterated partial derivatives. Taylor’s Theorem
Monday – January 17, 2005	Martin Luther King Jr. Day	The class is moved to the X-hour on Tuesday January 25
Wednesday – January 19, 2005	3.3	Extrema of real valued functions.
Friday January 21, 2005	3.4, 3.5	Constrained extrema and Lagrange multipliers.  The implicit function theorem.
Monday January 24, 2005	4.1, 4.2	Acceleration and Newton's Second Law Arc Length
Tuesday January 25, 2005 x-hour instead of the class on January 17 – Martin Luther King Jr. Day	4.3, 4.4	Vector fields Divergence and curl
Wednesday January 26, 2005	5.1, 5.2	The double integral
Friday January 28, 2005	5.3, 5.4	The double integral over more general regions  Changing the order of integration
Monday January 31, 2005 Regular Lecture and the first Midterm exam 6-8 PM in Bradley 102.	5.5	The triple integral
Wednesday February 2, 2005	6.1, 6.2	The geometry of maps from R^2 to R^2 The change of variables theorem
Friday February 4, 2005	6.2, 6.3	The change of variables theorem Applications of double and triple integrals
Monday February 7, 2005	6.3, 6.4	Applications of double and triple integrals Improper integrals
Tuesday February 8, 2005 x-hour instead of the class on February 11 – Winter Carnival	7.1, 7.2	The path integral The line integral
Wednesday February 9, 2005	7.3	Parametrized surfaces
Friday February 11, 2005	Winter Carnival	The class is moved to the x-hour on Tuesday February 8, 2005
Monday February 14, 2005	7.4	Area of a surface
Wednesday February 16, 2005	7.5	Integrals of scalar functions over surfaces
Friday February 18, 2005	7.6	Surface integrals of vector functions
Monday February 21, 2005 Regular Lecture and the Second Midterm Exam 6-8 PM in Bradley 102.	8.1	Green's theorem
Wednesday February 23, 2005	8.2	Stoke's theorem
Friday February 25, 2005	8.3	Conservative fields
Monday February 28, 2005	8.4	Gauss' theorem
Wednesday March 2, 2005	8.5	Applications to physics, engineering, and differential equations
Friday March 4, 2005	8.6	Differential forms
Monday March 7, 2005	8.6	Stokes Theorem for Differential forms
Wednesday March 9, 2005		Loose ends
Monday March 14, 2005 Final Exam is 8-11 AM in Reed Hall 107

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Last updated: January 1, 2005