This course includes topics from combinatorics and from graph theory. Particular emphasis on elementary counting formulas, the formulating and solving of recurrence relations, countable and uncountably infinite sets, and graph theory proofs. Applications are given from computer science. Introduction to Operations Research Operations research is a scientific approach to decision making involving the operation of organizational systems using mathematical models. Applications include assignment of personnel, distribution and transportation of materials, inventory control, and production scheduling.
Mathematical tools used include optimization techniques, game theory, and graph theory.
MA221 Linear Algebra Vector spaces, linear equations and matrices, linear transformations, characteristic values, and vectors. Four hours lecture. MA222 Calculus III Three-dimensional analytic geometry, infinite series, functions of several variables, partial derivatives, multiple integrals, and vector calculus. Four hours lecture. MA231 Differential Equations with Applications Introduction to the theory of linear and nonlinear systems of ordinary differential equations.