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9th April 2016, 11:49 AM
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Join Date: May 2012
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:

PART-I
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 half-integral 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 second-order 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



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