MATH 2203

Calculus III

Spring Semester 2015

The MATH 2203 Page of Dr. S. Ellermeyer

MATH 2203Materials

 

Course Outline

January 7 - 26

Section 9.1: Three - dimensional Coordinate Systems

Section 9.2: Vectors

Section 9.3: The Dot Product

Take Home Quiz 1

Take-Home Quiz 1 Solutions

Section 9.4: The Cross Product

Section 9.5: Lines and Planes

Solutions for Exam 1 (Version 1, Version 2)

January 30: Exam 1

February 2-13

Section 10.1: Vector Functions and Their Derivatives (Motion in Space)

Section 10.2: Integrals of Vector-Valued Functions and the Basic Projectile Problem

Take Home Quiz 2

Take-Home Quiz 2 Solutions

Mathematica Syntax for Producing Bean Bag Projectile Pictures

Section 10.3: Arc Length

Section 10.4: Curvature of a Curve

Section 10.5: Acceleration

Summary of Material on Motion

Solutions for Exam 2 (Version 1, Version 2)

February 18 - Exam 2

February 20 - March 2

Section 11.1 - Functions of Several Variables (This is the Mathematica Notebook that for graphing level curves and surfaces. You should be able to use it as a template to get started on doing these things in Mathematica.)

Section 11.3: Partial Derivatives

Take Home Quiz 3

Section 11.4: The Chain Rule

Take-Home Quiz 3 Solutions

Section 11.5: Directional Derivatives and Gradient Vectors

Solutions for Exam 3 (Version 1, Version 2)

March 6: Exam 3

March 9-20

12.1 - Double and Iterated Integrals Over Rectangles

12.2 - Double Integrals Over More General Regions

12.3 - Area by Double Integration

12.4 - Double Integrals in Polar Coordinates

Take Home Quiz 4

Examples and Problems Involving Polar Graphs and Double Integrals in Polar Coordinates

12.5 - Triple Integrals in Rectangular Coordinates

Take-Home Quiz 4 Solutions

12.7 - Triple Integrals in Cylindrical and Spherical Coordinates

Illustrations of Triple Integrals

Solutions for Exam 4 (Version 1, Version 2)

March 25 - Exam 4

March 27 - April 27

13.1 - Line Integrals

13.2 - Vector Fields, Work, Circulation and Flux13.3 - Path Independence, Potential Functions and Conservative Vector Fields

Examples and Problems Involving Line Integrals, Work, Flow and Flux.

Summary of Material on Line Integrals

Take Home Quiz 5

13.4 - Green's Theorem

Here is the example (illustrating the flux form of Green's Theorem) that we did in class on April 13, 2015.

Take-Home Quiz 5 Solutions

13.5 - Surfaces and Area

13.6 - Surface Integrals and Flux

13.7 - Stokes' Theorem

Take Home Quiz 6

13.8 - The Divergence Theorem and a Unified Theory

May 6: Final Exam (10:30 a.m. to 12:30 p.m. - Note different time!)

 

Exams from Previous Offerings of this Course

Exams from Fall Semester 2013

Solutions to Exam 1 (Version 1)

Solutions to Exam 1 (Version 2)

Solutions to Exam 2 (Version 1)

Solutions to Exam 2 (Version 2)

Solutions to Exam 3 (Version 1)

Solutions to Exam 3 (Version 2)

Solutions to Exam 4

 

Exams from Fall Semester 2013

 

Exams and Quizzes from Spring Semester 2011

Exams and Quizzes from Fall Semester 2010

Exams and Quizzes from Fall Semester 2009

Exams and Quizzes from Spring Semester 2008

Exams and Quizzes from Fall Semester 2007

Exams and Quizzes From Way Back

If you have any comments, criticisms, or witticisms, you can email me at sellerme@kennesaw.edu

 

Page Last Updated: April 21, 2015