Math 14

Winter 2011

Vector Calculus, Honors Section

Lecture Plan


This lecture plan is tentative and will be updated irregularly. The written homework page will be updated on the regular basis. The WeBWorK homework can be found here



Sections in Text

Brief Description

Wednesday, January 5


The Geometry of Euclidean Space

Friday, January 7

2.1 and 2.2

The geometry of real-valued functions, limits and continuity

Monday January 10


More about limits

Wednesday January 12

2.3 and 2.4

Differentiation and Introduction to Paths

Friday January 14

2.5 and 2.6

Properties of derivatives. Gradients and directional derivatives.

Monday January 17

MLK day, no class. Instead we have an x-hour on Thursday January 20

Wednesday January 19

First Project will be distributed on this date. It will be due Wednesday January 26.

Derivatives as matrices

Thursday January 20

x-hour instead of the class on Monday January 17

3.1 and 3.3

Iterated partial derivatives and extremal points of real valued functions

Friday, January 21

3.4 and 3.5

Constrained extrema and Lagrange multipliers. The implicit function theorem

Monday, January 24

3.4, 3.5 and 4.1

Acceleration and Newton’s second law

Wednesday January 26

The first homework project is due on this date

4.2 and 4.3

Arc length & Vector fields

Friday, January 28


Divergence and Curl

Monday, January 31

First Midterm Exam 6-8 PM in Kemeny 108


Integration over Rn

Wednesday, February 2

5.2 & 5.5

Double and Triple integrals

Thursday, February 3

5.3 & 5.4

Integrals over more general regions

Friday, February 4

6.1 & 6.4

The geometry of maps from R2 to R2 and improper integrals

Monday, February 7


Change of Variables

Wednesday, February 9

The Second Homework Project will be distributed on this date. It will be due on Wednesday February 16


Applications of double and triple integrals

Thursday, February 10

x-hour instead of the class on February 11

7.1 & 7.2

The path and line integrals

Friday, February 11

Carnival Holiday. No class. Instead we will have an x-hour on Thursday February 10

Monday, February 14


Parameterized Surfaces

Wednesday, February 16

The Second Homework Project is due on this date.


Area of a surface

Friday, February 18


Integrals of scalar functions over surfaces

Monday, February 21

Second Midterm Exam

6-8 PM in Kemeny 108


Surface integrals of vector functions

Wednesday, February 23

Final day to withdraw from a course; any later request to withdraw from a course requires petition to a special committee


Green's Theorem

Friday, February 25


Stokes's Theorem

Monday, February 28


Conservative Vector Fields

Wednesday, March 2


Gauss' Theorem

Friday, March 4


Applications to physics, engineering and differential equations

Monday, March 7


Differential Forms and Stokes Theorem

Wednesday, March 9


Differential Forms and Stokes Theorem

Saturday, March 12

Final Exam

11:30 AM – 2:30 PM in Haldeman 028