New Mathematics Courses at Camden

Glimpses Of Mathematics

Offered in the first six weeks of Summer. The course uses the latest software technology and computer graphics to illustrate fundamental concepts and ideas that shaped the development of algebra and geometry from the Pythagoreans to the twentieth century.

Topics include:

Elliptic Curves and Fermat's Last Theorem
Fundamental Theorem of Algebra
Platonic Solids
The Fourth Dimension

Glimpses is a bridge between undergraduate and graduate studies. It can be taken as a graduate course and as an undergraduate substitute for either Geometry or Mathematics Seminar. It is suitable for virtually all science majors and designed for students who wish to obtain a visual understanding of mathematical ideas, those who like mathematics for its own sake and high school mathematics teachers.

The course follows the new textbook, Glimpses of Algebra and Geometry, by Gabor Toth to be published by Springer Verlag, New York, in 1997.

Visualizing Mathematics by Computer:

Offered in Fall 1996 as a mathematics and computer science elective for undergraduate and graduate students. The course came into existence by popular demand from mathematics and mathematics education majors at Rutgers-Camden. It is recommended for future science educators and students who will work in scientific visualization and multi-media. The course acquaints the student with advanced computer graphics tools to create 2d, 3d, 4d structures and to animate dynamic behavior systems. The graphics are created using Maple and Mathematica and the 3d structures are visualized and manipulated by Geomview (linked to both). No previous computer knowledge is required.

Prerequisite: Calculus sequence.
Homework: Graphic Projects are assigned each week and they can be submitted or transmitted by e-mail.
Labs and Accounts: All graphics software are in a special account that the participants have access to via telneting either locally or remotely. The students can use all computer labs on Campus.
A detailed course syllabus is available upon request.

Mathematics on the Web:

A mathematics and computer science elective for undergraduate and graduate students to be offered in Spring 1997. The course is designed to get you acquainted with using the Web for finding mathematical information and communicating mathematics. The prerequisites are Calculus and Linear Algebra.

Topics include:

The Internet and the World Wide Web
Html language
Programming Perl CGI scripts
Using Java applets
Unix
Search engines

Computational Mathematics:

The course is offered for mathematics majors and as a computer science elective. It introduces elementary basic number theory and computational aspects of number theory such as distribution of primes, additive and arithmetic functions, etc. Some applications to cryptography are briefly introduced. Students are required to do programming. No prerequisite.

For more information about the Science Vision Project e-mail: gtoth@crab.rutgers.edu

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