Courses

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.

This class covers sequences of functions, including pointwise and uniform convergence and the specifics of interchanging limits. Series of functions, including the M-test, differentiation/integration and real analytic functions will be studied.

Students learn differentiation, integrations and integrability; sequences of functions, infinite series, and topology of the real line.

This is the second of a two course sequence designed to provide students with the theoretical context of concepts encountered in MA 125 through MA 227. Topics covered include integration of functions of one variable, pointwise and uniform convergence, integration and differentiation of series, differentiable mappings of several variables, chain rule, product rule and gradients, Mean Value Theorem, Taylor's Theorem, Inverse Function Theorem, Implicit Function Theorem.

This is the second of a two course sequence designed to provide students with the theoretical context of concepts encountered in MA 125 through MA 227. Topics covered include integration of functions of one variable, pointwise and uniform convergence, integration and differentiation of series, differentiable mappings of several variables, chain rule, product rule and gradients, Mean Value Theorem, Taylor's Theorem, Inverse Function Theorem, Implicit Function Theorem.

In this course students will explore Vector Calculus: vectors and curves, functions of several variables, limits and continuity, vector functions of a vector, differentiability and the Jacobian matrix, transformations, multiple integrals, line and surface integral.