Topics include vectors, matrices, linear equations, determinants, vector spaces, linear transformations, and vector spaces with an inner product. I 3 credits Study of basic purposes, goals, and concepts of the elementary mathematics. Emphasizes the application, analysis, and evaluative aspects of teaching mathematics to elementary level children. The course provides an understanding of sets, the meaning of numbers and their basic operations, elementary geometry, probability and permutations. MAT 310- Geometry for Secondary School Teachers 3 credits Study of the field of secondary school mathematics from both quantitative and qualitative viewpoints.
Students learn mathematical concepts and teaching strategies.
MAT 311-Mathematical Logic 3 credits Study of sets and equivalence classes, Boolean algebra, the role of axiomatic in the structure of mathematics, basic principles of logic involving rules of modus ponens, reductio and absurdum, propositional calculus, first order logic, and the mature of mathematical proof. Metric spaces, completeness, compactness, sequences and series of functions, uniform continuity and convergence, integral of sequences and series of functions. Topology I, II 6 credits Limits and metric spaces, continuous functions on metric spaces and general topological spaces, completeness, product spaces. MAT 440-Numerical Analysis 3 credits Introductory study of numerical algorithms for the solution of algebraic, differential and partial differential equations, error analysis. MAT 443-Introduction to Operation Research 3 credits Linear programming, duality, sensitivity analysis, integer programming and applications to various decision and management problems.