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
Lectures 
Sections in Text 
Brief Description 
Wednesday, January 5 
1.11.5 
The Geometry of Euclidean Space 
Friday, January 7 
2.1 and 2.2 
The geometry of realvalued functions, limits and continuity 
Monday January 10 
2.2 
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 xhour 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 xhour 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 
4.4 
Divergence and Curl 
Monday, January 31 First Midterm Exam 68 PM in Kemeny 108 
5.1 
Integration over R^{n} 
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 R^{2} to R^{2} and improper integrals 
Monday, February 7 
6.2 
Change of Variables 
Wednesday, February 9 The Second Homework Project will be distributed on this date. It will be due on Wednesday February 16 
6.3 
Applications of double and triple integrals 
Thursday, February 10 xhour 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 xhour on Thursday February 10 

Monday, February 14 
7.3 
Parameterized Surfaces 
Wednesday, February 16 The Second Homework Project is due on this date. 
7.4 
Area of a surface 
Friday, February 18 
7.5 
Integrals of scalar functions over surfaces 
Monday, February 21 Second Midterm Exam 68 PM in Kemeny 108 
7.6 
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 
8.1 
Green's Theorem 
Friday, February 25 
8.2 
Stokes's Theorem 
Monday, February 28 
8.3 
Conservative Vector Fields 
Wednesday, March 2 
8.4 
Gauss' Theorem 
Friday, March 4 
8.5 
Applications to physics, engineering and differential equations 
Monday, March 7 
8.6 
Differential Forms and Stokes Theorem 
Wednesday, March 9 
8.6 
Differential Forms and Stokes Theorem 
Saturday, March 12 Final Exam 11:30 AM – 2:30 PM in Haldeman 028 