Study of programming oriented toward problem-solving and data management in the classroom. Logic with set theory. Algebraic properties of real and complex numbers. Includes advanced applications of trigonometry. Full development of limits, derivatives, and integrals.
Concentration is on concepts and applications.
Introduction to semigroups, groups, rings, homomorphism, and isomorphism. Elementary theory of groups, elementary theory of rings. As time permits, topics will include factor groups, quotient rings, cyclic groups, finite groups, abelian groups, polynomial rings, division rings, and fields. Applications of integrals to include average value, area between curves, length of path, volumes of solids, and surface area. As time permitselementary differential equations of the first order.