Mathematical Physics - II Semester II (Core IV) | Physics for B.Sc. Students - NEP 2020 Odisha

• Comprehensive Coverage - Includes essential topics such as Fourier Series, Bessel Functions, Legendre Polynomials and PDEs relevant to physics applications.
• Step-by-Step Derivations - Ensures clarity in mathematical formulations with detailed explanations.
• Illustrative Examples & Exercises - Provides a wide range of solved examples and practice problems for deeper understanding.
• Computational Approach - Includes a dedicated lab section on numerical methods, curve Fitting and Matrix Operations.
• Application-Oriented - Emphasizes real-world physics applications, helping students connect mathematical techniques to practical scenarios.

Unit-I: Fourier Series-I

1. Fourier Series

Unit-II: Frobenius Method and Special Functions

2. Series Solutions of Second-Order Linear Differential Equations
3. Bessel, Laguerre, Legendre and Hermite Differential Equations
4. Rodrigues Formula, Generating Functions and Orthogonality

Unit-III: Polynomials

5. Simple Recurrence Relations of Legendre and Hermite Polynomials
6. Expansion of Function in a Series of Legendre Polynomials
7. Spherical Harmonics and Bessel's Function
8. Some Special Integrals

Unit IV: Partial Differential Equations

9. Solutions To Partial Differential Equations Using Separation of Variables

LAB
1. Foundations of Numerical Computation in Science Lab 1-51 
2. Curve Fitting, Least Squares Fit, Goodness of Fit, and Standard Deviation 52-56 
3. Solution of Linear Systems of Equations and Matrix Analysi