MATH 213 Advanced Calculus I

The real number system, least upper bound property. Sequences in R, Cauchy sequences, limsup and liminf. Limit and continuity in R, uniform continuity. Differentiation in R. Riemann integral in R, fundamental theorem of calculus. Infinite series of numbers, absolute convergence. Sequences and series of functions, uniform convergence, power series.
Credit units: 3 ECTS Credit units: 6, Prerequisite:
(MATH 123 and MATH 114) or (MATH 123 and MATH 102) .
Autumn Semester (Ergün Yalçın)



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