Courses

A rigorous introduction to the fundamental concepts of single-variable calculus. Topics included the real numbers, limits, continuity, uniform continuity, differentiation, integration, and sequences and series.

Functions of several variables; mapping; partial derivatives; power series; uniform convergence; line and surface integrals; vector analysis.

Real numbers, sequences and series, continuity, differential and integral calculus, exponential and logarithm functions, sine and cosine functions. Students present proofs from a list of pre-assigned theorems to the class. Written versions of the proofs are posted for easy access in subsequent proofs. Logical correctness and proper mathematical proof-writing style are assessed. Writing and Quantitative Literacy are significant components of the course.

This class covers sequences and series of real numbers, supremum and infimum limits for subsets of the real numbers, the theorem of Bolzano- Weierstrass, Cauchy sequences, continuous functions, intermediate value theorem, uniform continuity, monotone functions. In addition, derivatives - mean value theorem, Taylor's theorem for real functions on a real interval, Riemann integration for functions on a real interval, improper integrals.

This course presents the algebra of sets, functions, mathematical induction, properties of the real number sequences, limits of functions, and continuity.

This is the first of a two course sequence designed to provide students with the theoretical context of concepts encountered in MA 125 through MA 227.

This is the first of a two-course sequence designed to provide students with the theoretical context of concepts encountered in MA 125 through MA 227.

Selected topics from advanced calculus, including differentiable functions, the Riemann integral, and sequences and series of functions.

Selected topics from advanced calculus, elements of partial differentiation including the general theorems, Jacobians, topics on the theory of integration. This course may only be taken at the undergraduate level upon approval for participation in the Faster Master's program.

Real numbers, sequences and series, continuity, differential and integral calculus, exponential and logarithm functions, sine and cosine functions. Students present proofs from a list of pre-assigned theorems to the class. Written versions of the proofs are posted for easy access in subsequent proofs. Logical correctness and proper mathematical proof-writing style are assessed. Writing and Quantitative Literacy are significant components of the course.