REAL ANALYSIS

COURSE OBJECTIVES: To enable the students to –

<!--[if !supportLists]-->a.        <!--[endif]-->Know and understand the definition and theorems of Real Analysis

<!--[if !supportLists]-->b.        <!--[endif]-->Apply mathematical concepts and principles to perform numerical and symbolic computations.

<!--[if !supportLists]-->c.        <!--[endif]-->Prove properties of convergent and divergent sequence.

<!--[if !supportLists]-->d.        <!--[endif]-->Verify the given sequence in convergent and divergent by using behavior of Monotonic sequence.

<!--[if !supportLists]-->e.        <!--[endif]-->Prove Cauchy’s first limit theorem, Cesaro’s theorem, Cauchy’s Second limit theorem.

<!--[if !supportLists]-->f.         <!--[endif]-->Explain subsequences, upper and lower limits of a sequence.

<!--[if !supportLists]-->g.        <!--[endif]-->Give examples for convergence, divergence and oscillating series.

<!--[if !supportLists]-->h.        <!--[endif]-->Prove theorems on different test of convergence and divergence of a series of positive terms.

<!--[if !supportLists]-->i.          <!--[endif]-->Verify the given series is convergent or divergent by using different test and To inculcate knowledge on real numbers and their properties & proofs.

<!--[if !supportLists]-->j.          <!--[endif]-->Compare with other fields like engineering , physics and other allied sciences.