MATH 4201 Advanced Calculus I

4 hours; 4 credits

Advanced calculus of functions of one variable. The real number system. Completeness, compactness, connectedness. Continuous functions, uniform continuity. Differentiation, the mean-value theorem, Taylor?s theorem. Riemann integration, the fundamental theorem of calculus. Interchange of limit operations, numerical series, power series.

Prerequisite: Mathematics 2001, 2101 and 2201, and at least 3 credits in advanced Mathematics Department courses or permission of the Chairperson.


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