# 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
- 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.

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 |
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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 |
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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 |