Course Introduction :

The course of Mathematical Methods of Physics-2 enables the students to analyze the functions and signals and to deal with the important topics such as Fourier analysis, laplace analysis, special functions, orbital angular momentum operators etc.

Recommended Books :

1) Mathematical Methods for Physicists by G.Arkfen

2) Introduction to Mathematical Physics by C.W.Wong

3) Foundations of Mathematical Physics by Hassani

4) Mathematical Physics by E.ButkovContents

Contents:

1. Fourier Series:a

) Basic definition and properties of Fourier series

b) Complex Fourier

c)Gibbs Phenomenon

d) Fourier Integral

e) Fourier transforms

f) Discrete Fourier transform

2. Legendre Functions:

   a) Generating function

  b) Recurrence relations

  c) Orthogonality

  d) Associated Legendre functions

   e) Legendre functions of second kind

3. Laguerre Functions

4. Hermite functions:

5. Laplace transforms:

a) Basic concept of Laplace transform

  b) Laplace transforms of different functions

  c) Transfer function, initial value problem solving method

  d) Inverse Laplace transform

System of Evaluation :

Sessional:              20 Marks (Presentation/Assignment 05, Attendance 05, Quiz 10)

Mid term Exam:     30 Marks

Final Exam:           50 Marks

Key Dates:

       Midterm exam will be conducted after eight weeks from the start of course and after sixteen weeks final term exam will be conducted

Learning outcomes : 

To understand the topics, solving related problems, to apply the topics

Date & Time of Meeting :

According to timetable 

BS-6th (Reg)

Monday to Wednesday at 10:00 am

BS-6th (S.S)

Wednesday to Friday at 12:00 pm

MSc-2 

Monday at 12:00 pm

Tuesday at 12:00 to 02:00 pm