This is a Graduate Course.

The course covers selected topics in mathematics suggested by the student’s supervisor.

This is a Graduate Course.

Course description: 

Existence and uniqueness of solutions of linear systems. Stability Theory, Liapunov method. Two-dimensional autonomous systems, Poincare-Bendixson Theory. Second order linear differential equations: properties and zeros of the solutions. Sturm-Liouville theory: Linear differential operators in L2 space, eigen functions and eigen values of self-adjoint linear operators, orthogonal polynomials and eigen function expansions.

Course description: Undergraduate research in Mathematics 

This is an independent reading course. The student chooses a topic of his interest in Mathematics with the help of his adviser. He is expected to gather the necessary references to help him understand the topic. He then writes a report that reflects his understanding of the topic.  

Course description: 

Course description: 

Matrices and their operations., types of matrices. Elementary transformations. Determinants, elementary properties. Inverse of a matrix. Linear systems of equations. Vector spaces, linear independence, finite dimensional spaces, linear subspaces. Inner product spaces. Linear transformations, kernel and image of a liner transformation. Eigen values and Eigen vectors of a matrix and of a linear operator.