B.Sc. Semester Course Physics Syallbus Course No. Periods/Week ...

1. Review of Basics :
PHB403 Mathematical Physics I 3 Period/week H
Review of differential and integral calculus. Gaussian integral. Infinite
series. Ordinary differential equations.
2. Linear Algebra :
Vector spaces. Linear independence. Basis. Dimension. Linear trans-
formations. Matrices. Vector subspaces. Quotient space. Inner prod-
uct.
3. Vector Calculus :
Dot and cross product of vectors. Definition of gradient, curl and diver-
gence. Gauss and Stokes theorems. Introduction to partial differntial
equations of physics.
4. Curvilinear coordinates and Multiple integrals :
Calculation of divergence, gradient etc. in spherical polar and cylin-
drical coordinates. Multiple integrals in two and three dimensions.
Change of variable and Jacobian. Area of surfaces and volume of solids.
Suggested Books :
1. Vector Analysis : Schaum Series
2. Advanced Engineering Mathematics bt Kreyzig
3. Linear Algebra : Schaum Series