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Topics include Riemann integration, sequences and sequence of functions, uniform convergence, power series, Taylor sequence. Optional matters may include the Reimann-Stieltjes integration, Weierstrass Approximation Theorem and the Arzela-Ascoli Theorem, metric areas, multi-variable calculus. Introduction to the fundamental concepts and functions of stochastic processes. Markov chains, continuous-time Markov processes, Poisson and renewal processes, and Brownian motion. Applications of stochastic processes including queueing theory and probabilistic analysis of computational algorithms. Our intensive course catalog covers the full range of content material, from elementary arithmetic to upper-division undergraduate mathematics, and every thing in between.

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