Master of Science (M.Sc)

Masters 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

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