Lec #  topics  key dates 

I. Vectors and Matrices  
1 
Vectors in 2 and 3space
Dot Product 

2 
Determinants of Orders 2 and 3
Cross Product 

3  Matrices; Inverse Matrices  
4  Solving Systems of Linear Equations; Lines, Planes  
5  Parametric Curves; Velocity, Acceleration  Problem set 1 due 
6  Kepler’s Second Law  
Exam 1 (Covering Lectures 16)  Problem set 2 due  
II. Partial Derivatives  
7  Level Curves, Partial Derivatives, Tangent Plane  
8 
MaxMin Problems
Least Squares Approximation 

9  2nd Derivative Test; Boundaries and Infinity  Problem set 3 due 
10  Differentials; Chain Rule  
11  Gradient, Directional Derivative  
12  Lagrange Multipliers  Problem set 4 due 
13  Nonindependent Variables  
14 
Partial Differential Equations
Review 

Exam 2 (Covering Lectures 714)  Problem set 5 due  
III. Double and Triple Integrals  
15  Double and Iterated Integrals  
16 
Double Integrals in Polar Coordinates
Applications 

17  Change of Variables  Problem set 6 due 
18  Triple Integrals in Rectangular and Cylindrical Coordinates  
19 
Spherical Coordinates
Gravitational Attraction 

IV. Vector Calculus in 2 and 3space  
20  Line Integrals in the Plane  Problem set 7 due 
21  Gradient Fields and Path Independence  
22  Conservative Fields and Potential Functions  
23 
Green’s Theorem
2dimensional Curl (Vorticity) 
Problem set 8 due 
24 
Simplyconnected Regions
Review 

Exam 3 (Covering Lectures 1524, Except 1819)  Problem set 9 due  
25  Flux Form of Green’s Theorem  
26  Vector Fields in 3space; Surface Integrals and Flux  
27  Divergence (= Gauss’s) Theorem  Problem set 10 due 
28  Divergence Theorem (cont.)  
29  Line Integrals in Space, Exactness, and Potentials  
30  Stokes’ Theorem  Problem set 11 due 
31 
Understanding Curl
Review 

Exam 4 (Covering Lectures 1819, 2531)  
32  Topological Issues  Problem set 12 due 
33  Conservation Laws; Heat/Diffusion Equation  
34  Course Review  
35 
Course Evaluation
Maxwell’s Equations 
Calendar
Course Info
Instructors
Departments
As Taught In
Spring
2006
Level
Learning Resource Types
assignment
Problem Sets
grading
Exams