Math 14  Syllabus
This is a tentative syllabus. This page will be updated irregularly.
Date 
section 
Description 
Friday  Jan 5, 2001 
1.11.5 
The geometry of Euclidean space 
Monday  Jan 8, 2001 
2.1, 2.2 
The geometry of realvalued functions Limits and continuity 
Tuesday  Jan 9, 2001 


Wednesday  Jan 10, 2001 
2.3, 2.4, 2.5 
Differentiation, Introduction to paths, Properties of the derivative 
Friday  Jan 12, 2001 
2.6, 3.1 
Gradients and directional derivatives. Iterated partial derivatives. 
Monday  Jan 15, 2001 

HolidayMLK 
Tuesday  Jan 16, 2001 
3.2, 3.3 
Taylor's theorem. Extrema of realvalued functions 
Wednesday  Jan 17, 2001 
3.4, 3.5 
Constrained extrema and Lagrange multipliers. The implicit function theorem 
Friday  Jan 19, 2001 
3.6 
Some applications 
Monday  Jan 22, 2001 
4.1, 4.2 
Acceleration and Newton's Second Law Arc Length 
Tuesday  Jan 23, 2001 


Wednesday  Jan 24, 2001 
4.3, 4.4 
Vector fields Divergence and curl 
Friday  Jan 26, 2001 
5.1, 5.2 
The double integral 
Monday  Jan 29, 2001 
5.3, 5.4 
The double integral over more general regions Changing the order of integration 
Tuesday  Jan 30, 2001 


Wednesday  Jan 31, 2001 
5.6 
The triple integral 
Friday  Feb 2, 2001 
6.1, 6.2 
The geometry of maps from R^2 to R^2 The change of variables theorem 
Monday  Feb 5, 2001 
6.2, 6.3 
The change of variables theorem Applications of double and triple integrals 
Tuesday  Feb 6, 2001 
6.3, 6.4 
Applications of double and triple integrals Improper integrals 
Wednesday  Feb 7, 2001 
7.1, 7.2 
The path integral The line integral 
Friday  Feb 9, 2001 
No class 
Winter Carnival 
Monday  Feb 12, 2001 
7.3 
Parametrized surfaces 
Tuesday  Feb 13, 2001 
7.4 
Area of a surface 
Wednesday  Feb 14, 2001 
7.5 
Integrals of scalar functions over surfaces 
Friday  Feb 16, 2001 
7.6 
Surface integrals of vector functions 
Monday  Feb 19, 2001 


Tuesday  Feb 20, 2001 


Wednesday  Feb 21, 2001 
8.1 
Green's theorem 
Friday  Feb 23, 2001 
8.2 
Stoke's theorem 
Monday  Feb 26, 2001 
8.3 
Conservative fields 
Tuesday  Feb 27, 2001 


Wednesday  Feb 28, 2001 
8.4 
Gauss' theorem 
Friday  March 2, 2001 
8.5 
Applications to physics, engineering, and differential equations 
Monday  March 5, 2001 
8.6 
Differential forms 
Tuesday  March 6, 2001 


Wednesday  March 7, 2001 

Review 
Last updated: January 4, 2001