Learning Outcomes
Upon successful completion of the course, students will be able to:
Identify and apply advanced mathematical techniques (differential equations, special functions, integral transforms) to problems in physics.
Utilize methods of linear algebra and eigenvalue theory for solving physical systems.
Analyze the properties and applications of partial differential equations arising in classical and quantum physics.
Apply computational approximation methods (e.g., asymptotic methods, perturbation techniques) to tackle complex problems.
Connect mathematical concepts with physical applications in electromagnetism, mechanics, thermodynamics, and quantum theory.
Develop the ability to present and document mathematical methods and results in a scientific context.
Course Content (Syllabus)
Special Functions of Mathematical Physics
Laplace Transforms
Partial Differential Equations
Linear Integral Equations
Numerical Methods for Solving Problems in Mathematical Physics
Elements of Group Theory