Rutgers University 3 credits Mathematical Sciences
Continuity and differentiability of functions of many variables, the chain rule, higher derivatives, Taylor's theorem, maxima and minima, metric spaces, completeness, contraction mapping principle, inverse functions and the implicit function theorem, the Riemann integral and its properties, Lebesgue measure and measurable functions, Lebesgue integral, the dominated convergence theorem, comparison of the Riemann and the Lebesgue integrals.
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