Date

section

Description

Friday - Jan 5, 2001

1.1-1.5

The geometry of Euclidean space 

Monday - Jan 8, 2001

2.1, 2.2

The geometry of real-valued 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

Holiday-MLK

Tuesday - Jan 16, 2001

3.2, 3.3

Taylor's theorem.

Extrema of real-valued 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