The rigorous development of calculus in a single variable is the content of the course. The theory is developed entirely from a small number of axioms for the real number system and intuitive set-theoretic concepts. Lectures emphasize the construction of rigorous arguments in analysis and the communication of mathematical proofs. This course is recommended for students in mathmatics, mathmatics education, actuarial science, engineering, and the physical sciences. Topics covered include the real number system, limits, continuity, differentiation, the Riemann integral, and sequences and series of functions. 3 credits

Prerequisite: MATH2170