Governor's School 2004 - Mathematics Elective

Mathematics of Patterns

One of the greatest contributions of mathematics to the world of knowledge is the giving of language to pattern. By using mathematics, we can describe, study and create patterns. In this course, we will study the mathematics of patterns. Starting with basic descriptions, we'll study the properties of patterns, like number sequences, tilings, fractals, codes, and chaos, and then we will begin to apply what we've learned to study and create various patterns.

The course will be a mix of theory, computation (by hand and by computer) and experimentation. You should have good algebra and general math and problem solving skills. We'll use whatever math you know, and help you learn new and interesting ideas. Some computer skill would be helpful as we'll be using computers to work out some examples and to solve some problems. However, no programming experience is necessary.

Course Instructor: Dr. 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 problems efficiently on a computer.


Return to Dr. Collins' Home Page collins@utk.edu

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