100413130 REAL ANALYSIS I ( 3 Crd.Hrs )

Pre-Requisites : 100412111

Properties of real numbers, supremum and infimum, sequences of real numbers and their limits, Cauchy sequence, monotone sequence, subsequence and Bolzano-Weiestrass theorem, limit of functions, limit theorems, continuity, uniform continuity, derivatives, Mean-value theorem and applications, Taylor’s theorem, Riemann integral, Riemann integrable functions, Fundamental Theorem of calculus, infinite series, absolute convergence, sequences of functions, pointwise and uniform convergence.