Techniques of integration. Series, conic sections and vectors. Significant application are considered. Applications using the computer and calculators. A formal study of the integers through prime numbers, divisibility, congruencies, Euler's function and quadratic reciprocity.
Statistical software is used.
A first course in differential equations. Separation of variables, homogeneous equations, integrating factors, linear and higher order equations. Applications via classical and computer based methods. Several finite geometries are studied. Emphasis on writing proofs, Logic, set theory, formal axiom systems, the real number system from an axiomatic point of view.