Teaching plan for
P 103 & SP103 : Mathematical Methods of Physics
1st Semester M.Sc. Physics and Space Physics
1st July 2015 to 4th November 2015
Date
Time
Name of the topic
01.07.2015
09.00 to 10.40
Orientation class
03.07.2015
09.00 to 09.50
Function of complex number- definition-properties
06.07.2015
09.00 to 10.40
Analytic function-Cauchy –Riemann conditions
08.07.2015
09.00 to 10.40
Polar form-problems
10.07.2015
09.00 to 09.50
Complex differentiation, complex integration
13.07.2015
09.00 to 10.40
Cauchy’s integral theorem
15.07.2015
09.00 to 10.40
Cauchy’s integral formulae
17.07.2015
09.00 to 09.50
Multiply connected region- problems
18.07.2015
09.00 to 10.40
Infinite series-Taylor’s theorem
20.07.2015
09.00 to 10.40
Laurrent’s theorem-Problems
22.07.2015
09.00 to 10.40
Cauchy’s Residue theorem- evaluation of definite integralsproblems
24.07.2015
09.00 to 09.50
Beta & Gamma functions -definition, relation between themproperties-evaluation of some integrals
27.07.2015
09.00 to 10.40
Special Functions- Legendre Polynomial, Hermite Polynomial
29.07.2015
09.00 to 10.40
Laguerre Polynomial-Generating function-recurrence relations
31.07.2015
09.00 to 09.50
Rodrigue’s formula
03.08.2015
09.00 to 10.40
Orthonormal property-associated Legendre polynomial
05.08.2015
09.00 to 10.40
Simple recurrence relation-orthonormal property-spherical
harmonics
07.08.2015
09.00 to 09.50
Laplace Transforms – definition- properties
10.08.2015
09.00 to 10.40
Laplace transform of elementary functions
12.08.2015
09.00 to 10.40
Inverse Laplace transforms-properties
14.08.2015
09.00 to 09.50
Evaluation of Inverse Laplace Transforms-elementary function
method
17.08.2015
09.00 to 10.40
Partial fraction method-Heavyside expansion method
19.08.2015
09.00 to 10.40
Convolution method-complex inversion formula method
21.08.2015
09.00 to 09.50
Application to differential equations
31.08.2015
09.00 to 10.40
Fourier series-evaluation of Fourier coefficients
02.09.2015
09.00 to 10.40
Fourier integral theorem-problems
04.09.2015
09.00 to 09.50
Square wave-rectangular wave-triangular wave
07.09.2015
09.00 to 10.40
Fourier Transforms- infinite Fourier Transforms
09.09.2015
09.00 to 10.40
Finite Fourier Transforms-Properties-problems
11.09.2015
09.00 to 09.50
Application to Boundary value problem
14.09.2015
09.00 to 10.40
Solutions of algebraic and Transcendental equations
16.09.2015
09.00 to 10.40
Bisection method-method of successive approximations-method of
false position
18.09.2015
09.00 to 09.50
Iteration method -Newton Rapson method
21.09.2015
09.00 to 10.40
Simultaneous linear algebraic equations
23.09.2015
09.00 to 10.40
Gauss elimination method
25.09.2015
09.00 to 09.50
Gauss Jordan method
28.09.2015
09.00 to 10.40
Matrix inversion method
30.09.2015
09.00 to 10.40
Jacobi method
02.10.2015
09.00 to 09.50
Gauss-Siedel method
05.10.2015
09.00 to 10.40
Interpolation with equal intervals-Finite differences
07.10.2015
09.00 to 10.40
Newton Forward & Backward Interpolation formulae
09.10.2015
09.00 to 09.50
Interpolation with unequal internals
19.10.2015
09.00 to 10.40
Newton’s divided difference formula
21.10.2015
09.00 to 10.40
Lagrange interpolation formula
23.10.2015
09.00 to 09.50
Numerical Integration
26.10.2015
09.00 to 10.40
General Quadrature formula
28.10.2015
09.00 to 10.40
Trapezoidal rule
30.10.2015
09.00 to 09.50
Simpson’1/3 rule & 3/8 rule
02.11.2015
09.00 to 10.40
Discussion on first unit and second units
04.11.2015
09.00 to 10.40
Discussion on third and fourth units
DR. P.S.V. SUBBA RAO