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This course is a continuation of MA 6213. The topics are integration, series of real numbers, sequences and series of functions, and Fourier series. Important concepts and theorems include Riemann and Riemann-Stieltjes integral, fundamental theorem of calculus, the mean value theorem of integrals, Dirichlet test, absolute and conditional convergence, uniform convergence, Weierstrass test, power series, orthogonal functions, and Fourier series.