Course Information for Calculus III 804-233-0002 (64001)

Spring  2012

Madison Area Technical College


Updated Announcements
Optional Group Project 5 due at the start of the Final Exam
 Course Portfolio due at the start of the Final Exam

Final Exam 5/15/2012, Tuesday 9:30AM - 11:20AM, Truax Rm 239

Final Grades


Syllabus for Calculus III
Packet of Projects for Calculus III
Text Assignments for Calculus III
Thomas' Calculus Series Website
Chapter 17 of Thomas: Second Order Differential Equations
Solutions to Projects and Exams for Calculus III
Class Notes from Spring 2010
Calculus III Exams and Solutions from the Spring of 2007
Grade Score Card for Calculus III
Math/Engineering Center Schedule

Online Resources for Calculus III

Winplot Tutorial 
A Power Point Introduction to Winplot
Winplot Examples
How to Install Winplot in Mac OS X
Exploring Multivariable Calculus : Dynamic Visualization Tools
The Calculus 3 D Plotter from Exploring Multivariable Calculus
JAVA Grapher
Wolfram Math World
The Wolfram Step by Step Derivatives Demo
The Wolfram Research On Line Integrator
Wolfram Alpha : Enter your question and see the answer
The Dartmouth College Limit Calculator
A link to the Khan Academy which has a free online collection of tutorial videos on mathematics and other subjects

Selected Notes for Calculus III

A Summary of Trigonometric Identities
The Law of Cosines and the Dot Product of Two Vectors
The "BAC CAB" or Triple Vector Cross Product Theorem
How to Draw a Hyperbolic Paraboloid Quick Guide
How to Draw a Hyperbolic Paraboloid Detailed Guide
An Interesting Property of Hyperbolic Paraboloids
Notes on TNB Coordinates
An Example of Constructing the Osculating Circle for a 3D Trajectory
Winplot 3D File Which Illustrates the Above Construction
Notes on the Kepler 2-Body Problem
Equality of Mixed Partial Derivatives
Notes on Sufficient Conditions for TD
Example of a Continuous Function of Two Variables without TD at the Origin
Example of the Information in the Gradient
An Illustration of Directional Derivatives and Tangent Vectors
The Second Derivative Test for Discriminating between a Max, Min, or Saddle
Example of Implicit Partial Derivatives in Thermodynamics
Notes on Transformations of Multiple Integrals
An Explanation of Why Conservative Vector Fields are Called Conservative
A Copy of the Solution of the ODE Part of a Calculus II Project
A Link to the Calculus II Fall 2011 Home Page
An Introduction to Phase Space for Second Order ODE's
A Set of Notes from the Fall of 2008



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