A course in rigorous analysis involving proofs of the theories behind calculus. Topics include real numbers, metric spaces, proofs of the convergence of sequences and series, proof of continuity of functions, and the theories of differentiation and Riemann integration. Prerequisite: MATH243 - Multivariable Calculus and MATH295 - Foundations of Abstract Mathematics, or consent of the instructor.
MATH441 is a 3 credit course.