WEBSITE for MATH 550, Section 1

Vector Analysis, Fall 2001, USC

Instructor

Office: 300H LeConte College
Office hours: MWF 11:05-12:05
Email: ghomi@math.sc.edu
Url: www.math.sc.edu/~ghomi/

Syllabus

The syllabus contains comprehensive information about this course, including

More material, such as copies of old tests, quizzes, and a list of your grades will be available here later, as the semester progresses.

Quizzes

PracticeQuiz1: Cauchy-Schwartz inequality, the Pythagorean theorem, and some other elementary results from plane geometry proved with the aid of basic vector algebra.

PracticeQuiz2: Applications of cross products, including Pythagorean theorem in 3D, plus other basic results concerning tetrahedra and other convex polytopes.

PracticeQuiz3: Formulas for distances between points, planes, and lines, in various combinations.

PracticeQuiz4: Background, definitions, and guided steps to prove that every curve may be reparametrized by arclength.

PracticeQuiz5: An application of Gauss's theorem to find the volume of polyhedra by claculating the surface area.

Tests

Midterm1, Solutions, Midterm2, Solutions, Midterm3, Final.

Mathematica Notebooks

Midpoint Polygons: Programs for graphing a sequence of polygons which are generated iteratively by connecting the midpoints of the sides of a given polygon. Here are some animations, in Quicktime format, generated by this notebook:

Cross Products: Selected solutions to exercises in the second homework assignment.

Grades

Here is the complete list of grades arranged by the last four digits of social security numbers: Grades.