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. The objective of this course is to introduce the students to some of the basic mathematical structures such as Groups and Vector spaces, to familiarize the students with the concept of tensors, to equip the students with the tools of Complex analysis and integral transformations, to introduce the students to orthogonal polynomials and Bessel’s functions and to give the students a detailed exposition of probability theory.

After the completion of the course students will have a working knowledge of the basic mathematical tools which will enable them to analyse physical problems:

1)  The students will learn about one of the basic mathematical structures, namely, vector space which is used extensively in various fields of Physics

2)  The students will learn about Tensors and how to use them

3)  The Students will be familiar with group theory and will be able apply group theory to solve physical problems

4)  The students will be exposed to complex analysis which is used by physicists to simplify several physical problems

5)  The students will learn about orthogonal polynomials and Bessel’s function

6)  The students will be able to perform integral transformation

7)  The students will also have learnt about probability theory which is used to formulate problems in statistical mechanics and quantum mechanics.