Lectures	Sections in Text	Brief Description
9/22	1.1 - 1.5	Basics of vectors
9/24	2.1 - 2.2	Geometry of Real-Valued Functions, Limits and Continuity
9/27	2.2	Homework Session
9/28 (x-hour)	2.3 - 2.4	Differentiation, Paths and Curves
9/29	2.3 - 2.4	Differentiation, Paths and Curves (cont.)
10/1	2.5	Properties of the Derivative
10/4	2.6	Gradients and Directional Derivatives
10/5 (x-hour)	3.1 - 3.2	Iterated Partial Derivatives, Taylor's Theorem
10/6	3.3	Extrema of Real Valued Functions, Lagrange Multipliers
10/8	3.4	Lagrange Multipliers (cont.)
10/11	3.5	Implicit and Inverse Function Theorems
10/13	4.3 - 4.4	Vector Fields, Divergence and Curl
10/13	Chapters 1 - 4	First Exam
10/15	5.1 - 5.2	Introduction to Double Integrals, Double Integrals Over Rectangles
10/18	5.3 - 5.4	Double Integrals Over Other Regions, Order of Integration
10/20	5.5	Triple Integrals
10/22	6.1	Geometry of Maps from R^2 to R^2
10/25	6.2	Change of Variables
10/27	6.3 - 6.4	Applications of Double and Triple Integrals, Improper Integrals
10/29	7.1	Path Integrals
11/1	7.2	Line Integrals
11/3	7.3	Parametrized Surfaces
11/3	Chapters 5 - 7 (only through 7.2)	Second Exam
11/5	7.4	Area of a Surface
11/8	7.5	Integrals of Scalar Functions over Surfaces
11/10	7.6	Surface Integrals of Vector Fields
11/12	7.7	Applications of Path and Surface Integrals
11/15	8.1	Green's Theorem
11/17	8.2	Stokes' Theorem
11/19	8.3	Conservative Fields
11/22	8.4	Gauss' Theorem
11/29	8.5	Some Differential Equations of Mechanics and Technology
12/1	8.6	Differential Forms
12/5	Chapters 1 - 8	Final Exam

Ryan Daileda
Last updated May 31, 2008 12:24:04 EDT