The basic concepts of Euclidean Geometry and the underpinnings of non-Euclidean Geometry.
3 hr./wk.
Development of prediction techniques using various physical models developed by Newton, Leibniz, and their successors. Models using one variable differential and integral calculus will be described and used to make predictions. Applications will be taken from fields of population growth, electrical circuits, interest rates, planetary motions, and others.
3 hr./wk.
Further applications will be taken from fields of population growth, electrical circuits, interest rates, planetary motions, and others.
3 hr./wk.
Sets, mappings, equivalence relations, operations, rings, integral domains, isomorphisms. Mathematical induction fields and groups.
3 hr./wk.
The study of geometric transformation groups in the complex plane including similitudes, isometries, translations, rotations, dilations. Applications of cosets and normal subgroups, invariants.
3 hr./wk.