M.SC

Master of Science (M.Sc)

Course Duration :2 Years (4 Semester)
Eligibility : Refer Below for details
Affiliation :Bangalore University

Introduction:

M.Sc Mathematics is a Post graduate course mathematics is the study of quantity and structure space and change mathematicians seek out patterns and formulate new conjucters which resolves the truth or flaseity of conjuctures by mathematical proofs.

About the Course:

M.Sc in Mathematics programme at KCMS, is affiliated to Bangalore University and approved by Government of Karnataka. It is a two years programme spreading over four semesters. The curriculum is based on Choice Based Credit System(CBCS). There is a healthy balance between pure and applied mathematics across four semesters. The main focus of first two semesters is on both pure and applied mathematical topics such as Algebra, real analysis, complex Analysis, functional analysis, Topology, numerical analysis and mathematical modelling, ordinary and partial differential equations. The Advanced topics like Fluid mechanics, MagnetoHydroDynamics, Mathematical methods, Graph Theory, Differential geometry, Number Theory and Special Functions are covered in third and fourth semester. Besides, the students can choose an open elective from interdisciplinary department in third Semester. In addition, all four semester also covers two practicals each of which are based on mathematical tools like Scilab, Maxima, latex, latex beamer and other open free source softwares. This turns out to be an exciting opportunity to understand, how mathematics can be put to practical use. The most important component of this Programme is the project work in the final semester. The project work will help the students to pursue their career and higher studies in the field of Mathematics.

Eligibility:

    • KARNATAKA

Candidates with 40% marks in the aggregate of all the optional subjects & 50% of marks in the cognate subject at the Bachelor’s Degree level.

    • NON – KARNATAKA

Candidates with 40% marks in the aggregate of all the optional subjects & 50% of marks in the cognate subject at the Bachelor’s Degree level.

Syllabus:

SEMESTER I SEMESTER II
THEORY
Algebra-1
Real Analysis
Topology-1
Ordinary Differential Equation
Discrete Mathematics

PRACTICALS
Sci Lab and Maxima practical and problem working

Soft Core
Brief Biography of eminent mathematician and History of mathematics

THEORY
Algebra-II
Complex Analysis
Topology-II
Partial Differential Equation
Functional Analysis

PRACTICALS
Numerical Analysis Practicals and problem working
Partial Differential Equations Practicals and problem working

Soft Core
Mathematical modeling and numerical analysis-I

III SEMESTER IV SEMESTER
THEORY
Differential Geometry
Mathematical Methods
Fluid Mechanics
Numerical Analysis

PRACTICALS
Numerical analysis practical and problem solving

Soft Core
Mathematical Techniques
Mathematical Modelling of Nanoliquids

THEORY
Measurement and Integration

PRACTICALS
Latex and problem working
Latex Beamer and problem working

Soft Core
Riemannian Geometry
Special Functions
Theory of numbers
Entire and Meromorphic Function
Magnetohydrodynamics
Fluid Dynamics Of Ocean and Atmosphere
Computational Fluid Dynamics(CFD)
Finite Element Method with Applications
Graph Theory
Design and Analysis of Algorithms