IMSC Courses

Sobolev Spaces and Partial Differential Equations

Develops Sobolev spaces and distribution theory for weak solutions of elliptic and evolution partial differential equations.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

Measure and Integration

Develops Lebesgue measure and integration from abstract measures through convergence, differentiation, product spaces, signed measures, and L^p spaces.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

Algebra - I

Graduate-level abstract algebra develops groups, rings, modules, and their classification, culminating in finitely generated abelian groups and Jordan canonical form.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

Measure Theory - IMSc

Develops Lebesgue measure and integration as a framework for limits and functions beyond the reach of Riemann integration.

• Swayam
• 12 weeks
• Not Currently Offered
• Free Online Course

An invitation to Topology

Explore how topology formalizes abstract spaces and extends limits, continuity, connectedness, and compactness.

• Swayam
• 12 weeks
• Not Currently Offered
• Free Online Course

Laplace Transform

Learn Laplace transform techniques for computing transforms and inverse transforms and solving differential, difference, integral, and integro-differential equations.

• Swayam
• 4 weeks
• Not Currently Offered
• Free Online Course

Algebra - II

Advanced algebra develops fields and Galois theory, category theory, tensor products, module structure, and semisimple rings for graduate mathematics students.

• Swayam
• 12 weeks
• No Longer Offered
• Free Online Course

Functional Analysis

A masters-level treatment of Banach and Hilbert spaces centered on weak and weak-* topologies, with applications to operator theory, Fourier series, and calculus of variations.

• Swayam
• 12 weeks
• No Longer Offered
• Free Online Course