PHY501

Mathematical Physics and Classical Mechanics
Year / Semester: 
1st Year
Credits: 
4

BLOCK – 1 : SPECIAL FUNCTIONS                                                             
UNIT  1   :    Legendre’s Polynomials                                                                                                
UNIT  2   :    Bessel Functions                                                                                   
UNIT  3   :    Hermite Polynomials                                                                             
UNIT  4   :    Lapalace Equation and Wage Equation                                                

BLOCK – 2 : INTEGRAL TRANSFORMS                
UNIT  5   :    Fourier Transforms and Application                                                     
UNIT  6  :    Lapalace Transforms and Applications                                                 

BLOCK – 3 : TENSOR ANALYSIS                                                                     
UNIT  7   :    Tensor Algebra                                                                                                  
UNIT  8   :    Metric Tensor & Chriostofell Symbols                                                 

BLOCK – 4 : MECHANICS OF SYSTEM OF PARTICLES
UNIT  9   :    Lagrangian Mechanics                                                                          
UNIT  10 :    Lagrange’s Equations                                                                           
UNIT  11 :    Hamilton’s Principle                                                                             
UNIT  12 :    Hamitonian Mechanics                                                                         
UNIT  13 :    Canonical Transformations and Hamilton – Jacobi Theory                  
UNIT  14 :    Poissons Brackets                                                                                 

BLOCK – 5 : NUMERICAL NETHODS
UNIT  15 :    Numerical Interpolation                                                                        
UNIT 16  :    Numerical Differentiation                                                                     
UNIT 17  :    Numerical Integration                                                                           
UNIT 18  :    Solutions Integration                                                                            
UNIT 19  :    Numerical Solutions of Ordinary Differential Equations