Linear congruences and their applications to the solution of Diophantine Equations. Exponents and primitive roots. Quadratic residues and the Law of Quadratic Reciprocity. Offered Spring Semester. Discrete Structures II 3 credits Continuation of the study of mathematical structures most frequently encountered in Computer Science.
Topics covered include graphs, trees, discrete probability, and languages, grammars and machines.
Offered in Spring Semester. An introduction to the techniques of Euclidean and Non-Euclidean geometry. Offered Fall Semester. Differential Equations 3 credits An elementary study of ordinary differential equations including theory, technique, and application of concepts. Solutions of first order equations are treated in detail.