IMSC Courses

Algebra - I

Comprehensive postgraduate-level algebra course covering groups, rings, modules, and their applications. Ideal for M.Sc and first-year PhD mathematics students seeking a strong foundation in abstract algebra.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Measure and Integration

Explore abstract measures, Lebesgue integration, and L^p spaces in this advanced mathematics course. Covers key theorems, convergence, product spaces, and applications in analysis.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Algebra - II

Explore advanced algebraic concepts including Galois theory, category theory, and multilinear algebra. Ideal for graduate-level mathematics students seeking in-depth understanding of abstract structures.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Functional Analysis

Comprehensive exploration of functional analysis, covering normed linear spaces, Banach and Hilbert spaces, weak topologies, and key theorems with applications in mathematics and partial differential equations.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Sobolev Spaces and Partial Differential Equations

Explore distributions, Sobolev spaces, and their applications in PDEs. Develop skills in functional analysis for solving elliptic boundary value problems and evolution equations.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Laplace Transform

Learn Laplace transform techniques to solve differential, difference, and integral equations. Gain practical skills for applications in science and engineering through examples and problem-solving.

• Swayam
• 4 weeks
• Finished
• Free Online Course

An invitation to Topology

Explore abstract shapes and their properties in this introduction to topology, covering fundamental concepts like spaces, continuity, connectedness, and compactness.

• Swayam
• 12 weeks
• Finished
• Free Online Course

Measure Theory - IMSc

Develop fundamental tools for integration, explore new ways of measuring objects, and apply measure theory to various mathematical fields and real-world applications.

• Swayam
• 12 weeks
• Finished
• Free Online Course