# Vector Analysis Math 550, Fall 1997

## Table of Contents

Note: IDVI will probably provide the best results for most users; both PostScript and DVI require special external viewers.

Final Exam -- Formula Sheet (IDVI) (PostScript) (DVI)

• Syllabus (IDVI) (PostScript) (DVI)
• Homework Assignments
• Student Questionnaire -- Homework #1 (IDVI) (PostScript) (DVI)
• Chapters 1 & 2 -- Review of Math 241 (IDVI) (PostScript) (DVI)
• Chapter 4 -- Vector-Valued Functions (IDVI) (PostScript) (DVI)
• Chapter 5 -- Double and Triple Integrals (IDVI) (PostScript) (DVI)
• Chapter 6 -- The Change of Variables Formula and Applications of Integration (IDVI) (PostScript) (DVI)
• Chapters 7 & 8 -- Integrals over Paths and Surfaces & The Integral Theorems of Vector Calculus (IDVI) (PostScript) (DVI)
• Maple Worksheets
• Introduction to Maple V, Release 4
• Section 2.1 -- Surfaces and Level Curves
• Section 2.2 -- Limits and Continuity
• Section 2.4 -- Paths (and Surfaces) -- including an animation of a point on a bicycle wheel
• Section 4.2 (Exercises 14 - 17) -- T, N, B, curvature, and torsion (computation and animation)
requires the FrenetSerret package, written by D.A. Aruliah (Institute of Applied Mathematics, Unversity of British Columbia, Canada).
• Section 4.3 -- Vector Fields and Flow Lines
• Section 4.4 -- Divergence
• Chapter 4, Review Problems, Problem 11
• Chapter 5 -- General Maple tools for multiple integrals
• mvcal2 -- by Tim Murdoch
• calcplot -- by Tim Murdoch
note that mvcal2 is basically an updated version of calcplot
• Chapter 6 -- Change of Variables and Center of Mass
• Section 7.6 -- Normal Vectors to a Surface
• Miscellaneous Information and Materials
• Math 550 (Apogee) (taught by Prof. Maria Girardi in Spring 1997)
• Informal Summary of Vector Analysis (prepared by Prof. Maria Girardi)
• Chapter 1: Geometry (pp. 1-3)
• Chapter 2 and 4.1-2: Differentiation (pp. 4-7)
• Chapter 3 and 4.3-4: Vector-Valued Functions (pp. 8-10)
• Chapter 5: Double and Triple Integrals (pp. 11-12)
• Chapter 6: Change of Variables
• Chapter 7: Integrals over Paths and Surfaces
• Chapter 8: Integral Theorems of Vector Analysis
• Viewing PostScript files on the WWW
• Animated vector field for a PBX (Plastic Bonded eXplosive) low-strain impact (rigid, flat, steel punch); from the M.S. thesis of Paul Peterson (Math 550 student in Fall 1997).
• Maple at USC and beyond
• Maple Quick Reference (PDF) (PostScript)
• Collection of Maple Worksheets for Calculus and Differential Equations
• calcplot package
• Maple Worksheets for Differential Equations
• Maple Worksheets and the WWW
• Maple Information from NC State
• vec_calc -- a vector calculus package for Maple prepared by Arthur Belmonte and Philip B. Yasskin at the Department of Mathematics, Texas A&M University.
• A free demo version of Maple can be downloaded from Waterloo Maple, Inc.

While this demo is free, there are a number of features that are not functional in this version. For example, it's not possible to print or save any work and no user-defined procedures are permitted. But, you should be able to use this to view many of the worksheets that I (or others) have posted on the WWW.

Maple should be available in (almost) all computer labs on campus. If not, have the systems adminstrator contact Barbara Koski or Kathy Farmer at 777-4657 or 777-1303. A student version of Maple (Release 4) is available at the USC Bookstore (Russell House) for around \$90.

• If you have any questions, please send e-mail to meade@math.sc.edu
Last modified: 21 August 1997