Details of PH2204 (Spring 2025)
| Level: 2 | Type: Theory | Credits: 2.0 |
| Course Code | Course Name | Instructor(s) |
|---|---|---|
| PH2204 | Mathematical Methods of Physics I | Pradeep Kumar Mohanty |
| Syllabus |
|---|
| Complex analysis: Continuity and differentiability of complex functions - Cauchy Riemann
conditions (proof of sufficiency not needed). Analytic functions. Singularities - classification. [4] Expansion of functions: Taylor series, disc of convergence, analytic continuation (basic idea only). Fourier series. [6] Line-, surface- and volume-integrals: Greens theorem, Stokes theorem, Gauss theorem (statement, simple proofs, and simple examples only) [4] Basic vector analysis: Recap of grad div and curl, curvilinear coordinate versions of these operators. Basic identities (proofs using the summation convention, Kronecker delta and Levi- civita symbols) [4] Second order linear differential equations with constant coefficients: Recap of homogeneous equations, Inhomogeneous second order linear ODEs - concept of particular integrals. Greens functions. Example: Forced oscillators, Resonance. [3] Matrices: Diagonalization and applications such as exponentiation, large powers etc. [3] |
| References |
|---|
| Reference books:
1. Mathematical Methods for Physics and Engineering, K. F. Riley, M. P. Hobson and S. J. Bence 2. Mathematical Methods for Physicists, G. B. Arfken and H. J. Weber 3. Mathematical Methods in Physical Sciences, M. L. Boas |
Course Credit Options
| Sl. No. | Programme | Semester No | Course Choice |
|---|---|---|---|
| 1 | IP | 2 | Not Allowed |
| 2 | IP | 4 | Not Allowed |
| 3 | IP | 6 | Not Allowed |
| 4 | MP | 2 | Not Allowed |
| 5 | MP | 4 | Not Allowed |
| 6 | MR | 2 | Not Allowed |
| 7 | MR | 4 | Not Allowed |
| 8 | MS | 10 | Not Allowed |
| 9 | MS | 4 | Core |
| 10 | MS | 6 | Not Allowed |
| 11 | MS | 8 | Not Allowed |
| 12 | RS | 1 | Not Allowed |
| 13 | RS | 2 | Not Allowed |