# Methods of Mathematical Physics I

### IUCAA-NCRA Graduate School 2021

Instructor: Dipankar Bhattacharya

The class meets on Mondays, Wednesdays and Fridays at 10 am

during October 25 - December 17, 2021 (except holidays)

Assignment 1: issue 01 Nov, due 08 Nov 2021

Assignment 2: issue 29 Nov, due 06 Dec 2021

Mid-term evaluation: 17 November 2021

Final evaluation: 17 December 2021

**Primary course content:** *Linear Differential Equations, Sturm-Liouville theory, Orthogonal functions, Fourier Transform, Greenâ€™s function, Approximation methods (series expansion, successive approximation, Born approximation, WKB), Statistical estimation and inference*

**Main Reference texts:**

- Mathematical Methods for Physicists - G.B. Arfken, H.J. Weber & F.E. Harris, Academic Press (Elsevier) 2012
- Mathematical Methods of Physics - J. Mathews & R.L. Walker, Addison-Wesley (1970)
- The Fourier Transform and its Applications - R.N. Bracewell, McGraw-Hill (2000)
- Data Analysis: A Bayesian Tutorial - D.S. Sivia and J. Skilling, Oxford University Press (2006)

**Lectures** **Assignments**