Coming soon
MATHEMATICAL PHYSICS (Theory)
Course Outcomes (COs):
|
Course |
Learning outcome (at course level) |
Learning and teaching strategies |
Assessment Strategies |
|||||
|---|---|---|---|---|---|---|---|---|
|
Course Code |
Course Title |
|
|
|
|
|||
|
24CPHY512 |
Mathematical Physics (Theory) |
CO87: Evaluate the gradient, divergence and curl of various functions in the orthogonal curvilinear coordinate system and apply the concept of tensors in physical problems. CO88: Acquaintance with the Four vector notation, explanation of Doppler’s effect and Compton effect. CO89: Adapt a range of techniques to solve first & second order partial differential equations. CO90: Solve the Fourier analysis of periodic functions and apply it to solve physical problems such as vibrating strings etc. CO91: Explain and Solve a differential equations using numerical methods and Evaluate numerical integration. CO92: Contribute effectively in Course specific interaction. |
Approach in teaching: Interactive Lectures, Discussion, Power point presentations Learning activities for the students: Self learning assignments, Effective questions, Seminar presentation, Solving numericals |
Class test, Semester end examinations, Quiz, Solving problems, Assignments, Presentations |
|
|||
Four vector formulation, four velocity vector, energy-momentum four vector, relativistic equation of motion; invariance of rest mass, orthogonality of four force and four velocity, Lorentz force as an example of four force, transformation of four frequency vector, longitudinal and transverse Doppler’s effect, Compton effect.
Techniques of separation of variables and its application to the following boundary value problems (i) Laplace’s equation in three dimensional Cartesian coordinate system – line charge between two earthed parallel plates, (ii) Helmholtz equation in circular cylindrical coordinates-Cylindrical resonant cavity, (iii) Wave equation in spherical polar coordinates-the vibrations of a circular membrane, (iv) Diffusion equation in two dimensional Cartesian coordinate system-heat conduction in a thin rectangular plate.
Introduction, Fourier series and coefficients, functions with point of discontinuity, Expansion of periodic functions in a series of sine and cosine functions and determination of Fourier coefficients. Complex representation of Fourier series. arbitrary period, even and odd functions, half range expansion, Application. Summing of Infinite Series.Parseval’s theorem.
Introduction, Finite-Difference Operators, Differential Operator related to the Difference Operator, Truncation error, Numerical interpolation, Roots of equations, Initial-value problems –Ordinary Differential equations: Taylor’s method, Euler’s method and direct method. Trapezoidal and Simpson’s rule for numerical integration.
