Mathematics
math dept

M.Sc. (Mathematics) Course at Karnatak Science College, Dharwad

The program of Masters (M.Sc.) in Mathematics has started in the year 2011. In the span of 10 years, the Post-Graduate (PG) Department of Mathematics has evolved and grown beyond its prospects. The main aim of the course is to produce post-graduate students with strong mathematics foundation to join research, industries as well as various jobs. The department has been trying to groom a large pool of best trained students as scientific manpower for quality doctoral programs and well educated individuals.

Structure of the M.Sc (Mathematics) Course:

The two years masters program in Mathematics has been designed to mold the students in taking up their career in research or teaching. The first two semesters focus on Algebra, Real Analysis, Topology, Discrete Mathematics, Operations Research, Linear Algebra, Complex Analysis, Differential Equations, and Functions of Several Variables. In the next two semesters, the subjects like Differential Equations, Complex Analysis and Topology are continued to higher levels along with the introduction of new subjects such as Measure Theory, Functional Analysis, Differential Geometry, Numerical Methods, Fuzzy Topology, Integral Transforms and Integral Equations. Higher semesters have advanced core courses emphasizing both theory and applications. In particular, in the final semester, the students can choose subjects based on their interest.

The subjects such as Graph Theory, Nevannlinna Theory, Dimension Theory, Relativity, Ring Theory, Galois Theory, Number Theory, Differentiable Manifolds, Geometric Function Theory, Group Theory and Commutative Algebra have been introduced as elective papers. In addition, the students execute C-programs in connect to various numerical methods at computer laboratory for three semesters. In the final year, the students should carry out a project work under the guidance of faculties, which helps them to understand the subject in view of applications and also to take up the research in future.