Name |
Description |
Period |
Funtional Analysis | This course is offered to fourth years and they get acquainted with fundamental notions in classical analysis. From Banach spaces, functionals and operators to Hilbert spaces, and continuity and boundedness of operators between the aforementioned spaces. Students also get to interact with Hahn Banach theorems. | July -October 2022 - TO-DATE |
Linear Algebra | This course was taught to Engineering students. They are introduced to a vector space and some results proved to them. We then solve systems of linear equations using matrices, cramer's rule and elementary row operations. We also touched on inner products spaces, normed spaces and orthogonality of the same. | January 2022 - April 2022 |
Calculus | The course for industrial chemistry students exposes them to basic differential and integral calculus. Some applications are looked into in the course. | January 2022 - March 2022 |
Real Analysis I | This is a course taught to third year bachelor of technology and bachelor of science students. They are introduced to sequences and series; and their convergence, tests for convergence, Cauchy Sequences, different modes of convergence and analytical theory of some classes of functions. | January 2022 - March 2022 |
Introduction to analysis | This is an introduction course to mathematical analysis. The students get exposed to ordered and algebraic fields, completeness of the real line, limit and interior points, countability, continuity in different modes ; and differential and integral concepts for real valued functions. | March - June |
Discrete Mathematics | An introductory course to management science students. They were exposed set theory, mathematical logic, functions and relations, series and sequences, binomial expansion, permutations and combinations and rudimentary graph theory. | March - June |
Real Analysis II | The course generalizes an analysis of the real line as a metric space to abstract metric spaces. Notions such as Completeness, compactness, convergence, continuity modes, Sequences and series of functions are looked into. Also taught are Riemann Integrals,
Riemann Stieltjes Integrals, bounded and total variations in functions. | May 2022 - August 2022 |