Discrete Mathematics

Discrete Mathematics is the study of mathematical structures that are discrete, separated or distinct; in contrast with Calculus which deals with continuous change. It is an important area of pure and applied mathematics, as well as providing the mathematical basis for the understanding of computers and modern computation. Discrete Mathematics is also important in the sciences, where it has increasing application in many areas, an exemplar of which is the understanding of DNA sequences in molecular biology. This course will cover topics based on instructor and student interest such as Boolean logic; enumerative combinatorics; recurrence relations; relation theory and lattices; voting theory; theoretical computer science and computability theory; and graph theory.