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 R2 to  R2

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

 

 



 
 

Last updated: January 1, 2005