Course: Real Analysis
>> Real numbers
>> Sets in R
>> Real sequence
>> Infinite series
Syllabus: B.Sc. Mathematics Honors course
University: All Indian Universities
>> Define the real numbers, least upper bounds and its applications
>> Concept of intervals, open set, close set and relevant theorems, countable and uncountable sets.
>> Recognize convergent, divergent, bounded, Cauchy and monotone sequences.
>> Calculate the limit superior, limit inferior, and the limit of a sequence.
>> Recognize alternating, convergent, conditionally and absolutely convergent series.