Governor's School 2001 - Mathematics Elective

Applications of Matrices

Codes, epidemics, fractals, game strategies and computer graphics are all areas where we can use mathematics to describe and understand how they work. In this math course, we will use matrices to study some problems in these areas. We will start by learning about matrices, their general properties and how to manipulate them. Then we will begin to apply what we've learned to various real-world problems, like those listed above. The course will be a mix of theory, computation (by hand and by computer) and experimentation.

Prerequisites: Good algebra and general math skills. If you know more math, we'll use more, but we'll develop most of the mathematics we need as we need it. We'll also be using computers to solve some problems. However, no programming experience is necessary, unless you want to write your own programs.

Course Instructor: Dr. Charles R. (Chuck) Collins (B.S., Texas A&M University; Ph.D., University of Minnesota) is an Associate Professor of Mathematics at UT, where he teaches a wide range of courses from Calculus to graduate level seminars in Numerical Analysis. His main focus is on developing mathematical models of real-world situations and then determining how to best solve the resulting problem efficiently on a computer.

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