(Last modified: Thursday, April 15, 2010, 4:46 PM )

This syllabus is tentative and subject to change | |||||||||||

Monday | Wednesday | Friday | |||||||||

1/21 | 1/27 | Welcome to Multivariable Calculus | 1/29 | 10.1, 10.2: Vectors | |||||||

10.1: Vectors in the Plane | 10.3: The Dot Product | ||||||||||

10.2: Vectors in Space | |||||||||||

2/1 | 10.3: The Dot Product | 2/3 | 10.4: The Cross Product | 2/5 | 10.5: Lines and Planes in Space | ||||||

10.4: The Cross Product | |||||||||||

PS 1 (individual) due | |||||||||||

2/8 | 10.5: Lines and Planes in Space | 2/10 | 11.1: Vector-Valued Functions | 2/12 | 11.2: The Calculus of Vector-Valued | ||||||

11.1: Vector-Valued Functions | Functions | ||||||||||

11.3: Motion in Space | |||||||||||

PS 2 (group) due | |||||||||||

2/15 | 11.3: Motion in Space | 2/17 | Change of Parameters | 2/19 | 11.4: Curvature | ||||||

Change of parameters | Parametrizing with Arclength | ||||||||||

Arclength, chain rule | Chain Rule | ||||||||||

11.4: Curvature | PS 3 (individual) due | ||||||||||

2/22 | 11.5: Tangent and Normal Vectors | 2/24 | 10.6: Surfaces in Space | 2/26 | 10.6: Surfaces in Space | ||||||

PS 4 (group) due | |||||||||||

3/1 | 11.6: Parametric Surfaces | 3/3 | Exam 1 - in class portion | 3/5 | 11.6: Parametric Surfaces | ||||||

12.1: Functions of Several Variables | |||||||||||

3/8 | 12.1: Functions of Several Variables | 3/10 | 12.2: Limits and Continuity | 3/12 | 12.3: Partial Derivatives | ||||||

12.2: Limits and Continuity | |||||||||||

Project - choose option | |||||||||||

Exam 1 Takehome portion due | PS 5 (group) due | ||||||||||

3/15 | 3/17 | 3/19 | |||||||||

Spring Break | |||||||||||

3/22 | 12.3: Partial Derivatives | 3/24 | 12.4: Linear Approximations | 3/26 | 12.5: The Chain Rule | ||||||

12.5: The Chain Rule | |||||||||||

Project-intermediate due date | |||||||||||

PS 6 (individual) due | |||||||||||

3/29 | 12.6: Directional Derivatives | 3/31 | 12.6: The Gradient and Directional | 4/2 | 12.6: The Gradient | ||||||

Derivatives | |||||||||||

PS 7 (group) due | |||||||||||

4/5 | 12.7: Extrema of Functions of Several | 4/7 | 12.7: Extrema of Functions of Several | 4/9 | 12.7: Extrema | ||||||

Variables | Variables | 13.1: Double Integrals | |||||||||

Project-intermediate due date | PS 8 (individual) due | ||||||||||

4/12 | 13.1: Double Integrals | 4/14 | Exam 2 - in class portion | 4/16 | 13.1: Double Integrals | ||||||

9.4: Polar Coordinates | |||||||||||

4/19 | 13.3: Double Integrals in Polar | 4/21 | 13.4: Surface Area | 4/23 | 14.1: Vector Fields | ||||||

Coordinates | |||||||||||

Exam 2 Takehome portion due | PS 9 (group) due | ||||||||||

4/26 | 14.2: Line Integrals | 4/28 | 14.2: Line Integrals | 4/30 | 14.3: Independence of Path | ||||||

and Conservative Vector Fields | |||||||||||

Project - final due date | |||||||||||

PS 10 (individual) due | |||||||||||

5/3 | 14.4: Green's Theorem | 5/5 | 14.4: Green's Theorem | 5/7 | In-Class Portion of Final | ||||||

As with the midterms, the final will consist of both an in-class and a take-home portion. The in-class portion will be Friday May 7. (Seniors should contact me well in advance if they'd like to take it early.) The take-home portion of the final will be due Friday May 16 at 2pm. | |||||||||||

**Janice Sklensky**

**Wheaton College**

Department of Mathematics and Computer Science

Science Center, Room 101A

Norton, Massachusetts 02766-0930

TEL (508) 286-3973

FAX (508) 285-8278

jsklensk@wheatonma.edu