Calculus III is the third course in the Calculus Sequence for mathematics, computer science and other science majors. It has a prerequisite of Calculus II or its equivalent.
The current textbook is: Multivariable Calculus from Graphical, Numerical, and Symbolic Points of View, Revised Preliminary Edition by Ostebee and Zorn. There are a few errors in the text. Click here for a list of errata which you can use to correct your text.
The contents of Calculus III consists of
Chapter 1 |
Curves and Vectors |
Chapter 2 |
Derivatives |
Chapter 3 |
Integrals |
| Chapter 5 | Other topics - Lagrange multipliers |
Chapter 6 |
Vector Calculus - Line integrals and Green's Theorem |
Use this link to view the syllabus.
Use this link to view the semester calendar.
A very interesting site on the World Wide Web is the MacTutor History of Mathematics archive at St. Andrews University in Aberdeen, Scotland. Here you will find biographies of hundreds of mathematicians.
Use of the computer algebra system Maple V Release 5.1 is an integral part of the course. Laboratory worksheets geared to the text are available here. Simply download the files.
Worksheet 0. An introduction and review of commands for the calculus.
Worksheet 1. Vectors
Worksheet 2. Lines and Planes in 3 Dimensions.
Worksheet 3. Graphing Surfaces I
Worksheet 4. Vector-valued Functions.
Worksheet 5 Graphing Surfaces II
Worksheet 6. Level Curves and Contour Lines
Worksheet 7. The Gradient
Worksheet 8. Extrema I: Tangent Planes
Worksheet 9. Extrema II: The Hessian
Worksheet 10. Lagrange Multipliers
Worksheet 11. Areas and Volumes I: Rectangular Coordinates Requires Calcplot Package!
Worksheet 12. Areas and Volumes II: Polar Coordinates Requires Calcplot Package!
Worksheet 13. Triple Integrals I: Rectangular Coordinates Requires Calcplot Package!
Worksheet 14. Triple Integrals II: Cylindrical Coordinates Requires Calcplot Package!
Worksheet 15. Triple Integrals III: Spherical Coordinates Requires Calcplot Package!
Worksheet 16. Green's Theorem
Tim Murdock's Calcplot Package is available in a version modified to function under Maple V Release 5. There is also a Maple worksheet to accompany the package which describes each of the functions in it and which also gives examples of their usage. This worksheet is called calchelp. You should use your browser to download this package (calcpr5.txt) and save it to the directory c:/Program Files/Maple V Release 5 - Client/ on your local hard drive. The worksheets assume it will be located there.
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Project 2. Are the pups safe?