Course Objectives:
Mathematics is the language in which Physics is expressed. So, it is essential to have a firm grasp of Mathematics for a deeper understanding of Physical theories. This course, along with Mathematical Physics-I, is designed to equip the students with some of the basic mathematical tools. The main objectives of the course are following
i) To equip the students with the tools of Matrix analysis
ii) To give the students a working knowledge Fourier series
iii) To train the students to solve ordinary differential equations
iv) To make the students familiar with power series method and Frobenius method for solving ordinary differential equations
v) To train the students to solve partial differential equations using separation of variables
vi) To make the students familiar with some of the important special functions that are frequently encountered in physics
Learning Outcomes:
After the completion of the course, the students will have learnt some of the basic mathematical tools to analyze physical problems.
i) The students will have become familiar with Matrices; their eigenvalues and eigenvectors
ii) The students will learn about the properties of trace and determinant
iii)The students will be able to diagonalize symmetric matrix, a very useful procedure frequently applied to analyse physical problems.
iv) The students will be familiar with Fourier series, a technique often applied by physicists to simplify problems.
v) The students will learn how to solve ordinary differential equations which comes up frequently in physical problems such as Lagrange’s and Hamilton’s equation and many more
vi) The students will learn how to solve partial differential equations such as Laplace’s equation, Heat equation, wave equation
vii) The students will be familiar with some of the special functions which often comes up as a solution of differential equations.
viii) The students will be familiar with some of the special integrals which also comes up frequently in physics
- Teacher: Tuhin Subhra Mukherjee