Euclidean geometry from a modern viewpoint, with emphasis on the structure of deductive systems and methods of proof. Real number system as a model for Euclidean geometry, betweenness, separations and convexity, measure, congruence, parallelism, similarity and construction. Application filed for acceptance by the department to the professional education program. Careful study of topics currently found in secondary school mathematics curricula. Topics include mathematical systems, number systems, numeration systems, logic and structure of algebra.
Emphasis is on underlying concepts which unify content of secondary school mathematics.
Application filed for acceptance by the department to the Professional Education Program. Topics considered will be chosen from Algebra II, Geometry and Trigonometry. Theory and applications of the theory of interest. Topics include simple and compound interest, installment buying, annuities certain, sinking funds, amortization, depreciation, bonds and related securities. Certain fundamental structures such as groups, rings, integral domains and fields are considered.