#1
9th April 2016, 11:46 AM
 
 
Burdwan University Syllabus Physics
Could you please give here Syllabus for B. Sc. Honours in Physics 3 year course of University of Burdwan ?

#2
9th April 2016, 11:49 AM
 
 
Re: Burdwan University Syllabus Physics
As you requires here I am giving you Syllabus for B. Sc. Honours in Physics 3 year course of University of Burdwan . Syllabus for B. Sc. Honours in Physics: PARTI Group A : Mathematical Methods I : 1. Vector algebra and calculus: Scalars and vectors. Unit vectors. Scalar and vector products. Physical applications. Products of three or more vectors. Reciprocal vector triads. Ordinary and partial derivative of vectors. 2. Scalar and vector fields with examples. Coordinate transformation. Notion of invariance. Gradient of a scalar field. Directional derivative. Divergence and curl of a vector field and their physical significance. Solenoidal and irrotational vectors with examples. Conservative vector field and scalar potential. 3. Vector integration. Line integral. Path independence. Exact differential. Surface integral. Flux of a vector field. Volume integral. Divergence theorem. Stokes’ theorem. Green’s theorem in the plane. Green’s second identity. Verification of the integral theorems in simple cases. (Proofs of the integral theorems are not required.) 4. Orthogonal curvilinear coordinates. Unit vectors in curvilinear coordinate system. Arc length and volume element. The Jacobian and its properties. Cylindrical and spherical polar coordinates. The gradient, divergence, curl, and the Laplacian in cylindrical and spherical polar coordinates. 5. The gamma function and its simple properties. Evaluation of gamma functions of halfintegral arguments. Beta function. Relation between beta and gamma functions. Dirichlet’s integral. 6. Ordinary differential equations (ODE). Degree and order of an ODE. Solution of secondorder linear homogeneous and inhomogeneous ODE with constant coefficients. Complementary function and particular integral. Second order ODE with variable coefficients. Linear independence. Wronskian. Regular and irregular singular points. Integration in series of second order ODE. Indicial equation. General solution of second order equations when roots of the indicial equation are (a) distinct and do not differ by an integer, (b) distinct and differ by an integer, (c) equal. (Proofs of theorems are not required) 7. Bessel’s differential equation. Series solution. Bessel functions of the first and second kinds. Recurrence relations involving Bessel functions of the first kind. Legendre’s differential equation. Legendre polynomials. Rodrigue’s formula. Generating function of Legendre polynomials. Recurrence relations involving Legendre polynomials. Orthogonality of Legendre polynomials. 8. Partial differential equations. Hyperbolic, parabolic and elliptic differential equations. Solution of Laplace’s equation in Cartesian, spherical polar and cylindrical coordinates by the method of separation of variables. Boundary and initial value problems. 9. Fourier series. Dirichlet conditions. Change of interval. Expansions of odd and ecen periodic functions. Halfrange series. Fourier analysis of typical waveforms. Parseval’s formula. Fourier transformation and its simple poroperties: elementary idea Syllabus for B. Sc. Honours in Physics 