Math 14
Calculus of Vector-Valued Functions, Honors
Last updated May 31, 2008 12:24:04 EDT

## Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly.
On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

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