MATH 155 - Honors Nature of Mathematics

3 credit hours - Topics include Polya’s principles, permutations and combinations, the pigeonhole principle, geometric series, the Fibonacci sequence, the golden mean, modular arithmetic, prime, rational and irrational numbers, the logical structure of mathematics, one-to-one correspondences, and Cantor’s development of infinite cardinalities. This course is designed to satisfy the general education requirement in mathematics while providing an overview of the discipline and examining the relationship between mathematics, the arts, and the sciences. Enrollment in the UM Honors Program required. Prerequisite(s): MATH 131, 144, or 147; or Mathematics ACT minimum subscore of 20, or Mathematics SAT minimum subscore of 444.