MSc PHYSICS SEMESTER -1 PHY 301 MATHEMATICAL METHODS OF PHYSICS
-1 3Cr.hS.NO LECTURES
1Review of vector algebra ,
2Vector differentiation and gradient
3Divergence and gauss ,s theorem
4Vector integration
5Green theorem in plane
6Curl and stoke,s theorem
7Quizzes based on lectures 1 to 7
8presentation
9Curvilinear coordinate system,
10Gradient ,divergence and curl in the curvilinear coordinate
system
11Spherical and cylindrical coordinate system
12Quizzes based on lectures 8 to 11
13Covariant and contravarient tensors
14Presentation tensor algebra ,quotient rule
15Linear vector space
16Presentation Determinants and matrices
17Eigen value and eigenvectors of matrices
18.Orthogonal ,hermition matrices
19Similarities transformation
20Digonalization of matrices
21Quizzes based on lectures 16 to 21
22Introduction to groups
23 group representation
24Invariant subgroup, discrete subgroup
25Dihedral groups ,continuous groups
26SU(2) groups ,lie groups
27Representation
28Quizzes based on lectures 16 to 21
29Function of complex variables
30Cauchy Riemann conditions and analytic functions
31Cauchy integral theorem
32Cauchy integral formula
33Quizzes based on lectures 29 to 33
34presentation
35Taylor series
36Laurent series
37Calculus of residue
38Calculus of residue
39Complex integration
40Complex integration
41Complex integration
42Presentation
43Presentation
44Quizzes based on lectures 29 to 33
45Discussion on need of complex numbers
Text Book 1.Mathematical Methods for physicists ,George Arfken
,5th edition Books Recommended 1. Mathematical physics by
E.Butkove2. Vector and tensor analysis shaum,s outline series 3.
Complex variables shaum,s outline series4. Mathematical Methods in
physical sciences by Boas5. Introduction to mathematical physics by
C.W.WONG
MSc PHYSICS SEMESTER -II PHY 301 MATHEMATICAL METHODS OF PHYSICS
-1 3Cr.hS.NO LECTURES
1First and second order linear differential equations
2Partial differential equations in physics
3Partial differential equations in physics
4Partial differential equations in physics
5Separation of variables
6Homogeneous differential equations
7Frobenius series solution of differential equations
8Frobenius series solution of differential equations
9Presentation
10Second solution
11Second solution
12Nonhomogenous differential equations
13Quizzes based on lectures 1 to 12
14Presentation
15Bessel fuctions and Hankel functions
16Bessel fuctions and Hankel functions
17Spherical Bessel functions
18.Legender polynomials
19Legender polynomials
20Associated Legender polynomials
21Spherical harmonics Laguerre polynomials
22Hermite polynomials
23 Quizzes based on lectures 14 to 22
24Definition and generl properties of fourier series
25Fourier series of various physical functions
26Uses and applications of Fourier series
27Uses and applications of Fourier series
28Integral transform
29Fourier transform
30Fourier transform
31Convolution theorem
32Elementary Laplace transform
33Applications of laplace transforms
34Applications of laplace transforms
35presentation
36Quizzes based on lectures 24 to 34
37Boundary value problems
38Boundary value problems
39Non homogeneous Boundary value problems and green
functions
40Green functions for one dimensional problems
41Eigen functions expansion of green function
42Construction of green functions in higher dimensions
43Presentation
44Quizzes based on lectures 37 to 42
45Discussion
Text Book 1.Mathematical Methods for physicists ,George Arfken
,5th edition Books Recommended 1. Mathematical physics by
E.Butkove2. Differential equations shaum,s outline series 3.
Fourier series shaum,s outline series4. Mathematical Methods in
physical sciences by Boas5. Introduction to mathematical physics by
C.W.WONG
BS PHYSICS SEMESTER -5 PHY 301 MATHEMATICAL METHODS OF PHYSICS
-1 3Cr.hS.NO LECTURES
1Review of vector algebra ,
2Vector differentiation and gradient
3Divergence and gauss ,s theorem
4Vector integration
5Green theorem in plane
6Curl and stoke,s theorem
7Quizzes based on lectures 1 to 7
8presentation
9Curvilinear coordinate system,
10Gradient ,divergence and curl in the curvilinear coordinate
system
11Spherical and cylindrical coordinate system
12Quizzes based on lectures 8 to 11
13Covariant and contravarient tensors
14Presentation tensor algebra ,quotient rule
15Linear vector space
16Presentation Determinants and matrices
17Eigen value and eigenvectors of matrices
18.Orthogonal ,hermition matrices
19Similarities transformation
20Digonalization of matrices
21Quizzes based on lectures 16 to 21
22Introduction to groups
23 group representation
24Invariant subgroup, discrete subgroup
25Dihedral groups ,continuous groups
26SU(2) groups ,lie groups
27Representation
28Quizzes based on lectures 16 to 21
29Function of complex variables
30Cauchy Riemann conditions and analytic functions
31Cauchy integral theorem
32Cauchy integral formula
33Quizzes based on lectures 29 to 33
34presentation
35Taylor series
36Laurent series
37Calculus of residue
38Calculus of residue
39Complex integration
40Complex integration
41Complex integration
42Presentation
43Presentation
44Quizzes based on lectures 29 to 33
45Discussion on need of complex numbers
Text Book 1.Mathematical Methods for physicists ,George Arfken
,5th edition Books Recommended 1. Mathematical physics by
E.Butkove2. Vector and tensor analysis shaum,s outline series 3.
Complex variables shaum,s outline series4. Mathematical Methods in
physical sciences by Boas5. Introduction to mathematical physics by
C.W.WONG
BS PHYSICS SEMESTER -6 PHY 301 MATHEMATICAL METHODS OF PHYSICS
-1 3Cr.hS.NO LECTURES
1First and second order linear differential equations
2Partial differential equations in physics
3Partial differential equations in physics
4Partial differential equations in physics
5Separation of variables
6Homogeneous differential equations
7Frobenius series solution of differential equations
8Frobenius series solution of differential equations
9Presentation
10Second solution
11Second solution
12Nonhomogenous differential equations
13Quizzes based on lectures 1 to 12
14Presentation
15Bessel fuctions and Hankel functions
16Bessel fuctions and Hankel functions
17Spherical Bessel functions
18.Legender polynomials
19Legender polynomials
20Associated Legender polynomials
21Spherical harmonics Laguerre polynomials
22Hermite polynomials
23 Quizzes based on lectures 14 to 22
24Definition and generl properties of fourier series
25Fourier series of various physical functions
26Uses and applications of Fourier series
27Uses and applications of Fourier series
28Integral transform
29Fourier transform
30Fourier transform
31Convolution theorem
32Elementary Laplace transform
33Applications of laplace transforms
34Applications of laplace transforms
35presentation
36Quizzes based on lectures 24 to 34
37Boundary value problems
38Boundary value problems
39Non homogeneous Boundary value problems and green
functions
40Green functions for one dimensional problems
41Eigen functions expansion of green function
42Construction of green functions in higher dimensions
43Presentation
44Quizzes based on lectures 37 to 42
45Discussion
Text Book 1.Mathematical Methods for physicists ,George Arfken
,5th edition Books Recommended 1. Mathematical physics by
E.Butkove2. Differential equations shaum,s outline series 3.
Fourier series shaum,s outline series4. Mathematical Methods in
physical sciences by Boas5. Introduction to mathematical physics by
C.W.WONG
