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Foundational PG level course in algebra, suitable for M.Sc and first year PhD students in Mathematics.INTENDED AUDIENCE :Any Interested LearnersPREREQUISITES :BSc-level linear algebraINDUSTRIES SUPPORT :Not Applicable
Laplace transform is a fundamental tool in integral calculus. It is used to solve various types of differential equations, difference equations, integral equations etc., which arise naturally in engineering and basic sciences. Laplace transform technique…
The modern theory of Partial Differential Equations relies heavily on functional analytic methods. With the advent of high speed computers, numerical methods, like the finite element method, have revolutionized areas like computational fluid dynamics an…
About the course:The theory of measure and integration is now an integral part of any masters or graduate program in mathemat ics in Indian Universities. It is an important prerequisite for most analysis based courses. In this course, we will start with…
Second part of Foundational PG level course in algebra, suitable for M.Sc and first year PhD students in Mathematics.INTENDED AUDIENCE :NonePREREQUISITES : Algebra I (highly recommended)INDUSTRIES SUPPORT :None
Functional Analysis is a core course in any mathematics curriculum at the masters level. It has wide ranging applications in several areas of mathematics, especially in the modern approach to the study of partial differential equations. The proposed cour…
Topology is the study of abstract shapes and their properties which do not change under stretching or squeezing an object without tearing. In this course, we shall investigate and formalize the abstract notion of a “space” under a bare minimu…
One of the main goals of Lebesgue's measure theory is to develop a fundamental tool for carrying out integration which behaves well with taking limits, and admitting a vast class of functions for which Riemann's integration theory is not applicable. Eve…
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