Calculus IV

The This course covers inner product spaces, orthonormal spaces, orthogonal matrices, change of basis, eigenvalues, orthogonal axiomatic theory of sets; the axiom of choice, prepositional logic, quantification theory, formal construction of the sets N; Z; Q; R; and C. Cardinal numbers and their arithmetic, ordinal numbers and transfinite induction. Prerequisite: Sophomore Standing. course introduces students to functions of several variables and multiple integrations. This course covers foundations of arithmetic, properties of integers and prime numbers, unique factorization, congruence, Diophantine equations, theorems of Fermat, Euler, and Wilson, and quadratic reciprocity. Prerequisite: MAT 219.