Course: Improper Integral
>> Range of integration, finite or infinite. Necessary and sufficient condition for convergence of improper integral in both cases.
>> Tests of convergence : Comparison and M-test. Absolute and non-absolute convergence and inter-relations.
Statement of Abel’s and Dirichlet’s test for convergence on the integral of a product.
>> Convergence and working knowledge of Beta and Gamma function and their interrelation .
Syllabus: B.Sc. Mathematics Hons. courses
University: All Indian Universities