Mathematical Physics

Objective

This course bridges mathematics and physics, helping learners develop analytical tools to model physical systems. It emphasizes conceptual clarity and problem-solving techniques essential for advanced studies and competitive exams.

Core Topics

• Linear Algebra: Matrix operations, eigenvalues, eigenvectors, and applications in quantum mechanics.

• Vector Space: Basis, dimension, inner product spaces, and transformations relevant to physical theories.

• Differential Equations: Ordinary and partial forms used in wave, heat, and field equations.

• Tensor Analysis: Framework for relativity and continuum mechanics.

• Complex Variables: Functions, contour integration, and physical interpretations.

Learning Outcomes

• Understand mathematical structures underlying physical laws.

• Apply algebraic and vector methods to solve physics problems.

• Strengthen analytical reasoning for research and competitive exams