Math-280

List of Topics
Real numbers and their bounded subsets.
Supremum, Infimum and Completeness axiom.
Sequences and their convergence, Cauchy's criterion, Subsequences.
Series of numbers and Generalized convergence tests.
Limits of functions, Continuous functions on intervals, Intermediate value property.
Extrema, Differentiability, Mean-value theorem and its consequences, Taylor's theorem.
Riemann's integral.
Uniform convergence of sequences and series of functions, uniform convergence tests.
Power series.