M.Sc MATHEMATICS

PROFILE

Vision

    • To enhance cognitive, personal, and inter-personal abilities.
    • To provide professional expertise to handle GDs and interviews.
    • To enrich, enhance and empower students to be a successful individual in their professional and personal life.
  •  

mission

    • To enhance cognitive, personal, and inter-personal abilities.
    • To provide professional expertise to handle GDs and interviews.
    • To enrich, enhance and empower students to be a successful individual in their professional and personal life.
  •  

Objectives

  • To strengthen business knowledge, skills, and competencies among students.
  • To develop entrepreneurship skills among students.
  • To develop teaching skills among students.
  • To build competencies in students through training and development initiatives, and to meet the placement requirements.

Eligibility

  • A candidate who has passed B.Sc with Mathematics as one of the main subjects, and has passed a degree examination from Bangalore University or from any other University recognised as equivalent thereto, and has secured not less than 50% of the marks in the aggregate in all the Maths subjects. In the case of SC/ST students and blind students, the minimum percentage of marks required shall be 45%.

COURSE OUTCOME

SEMESTER/ TITLE OF THE COURSE LEARNING OUTCOME PROGRAMME SPECIFIC OUTCOME

I Semester – M101T Algebra I

M102T Real Analysis

M103T Topology I

M104T Ordinary Differential Equations

M105T Discrete Mathematics

M105P Discrete Mathematics practical

MSC1.1 Statistics
  • Understand and appreciate the power and beauty of abstract mathematics, a range of topics in real analysis

  • Demonstrate knowledge of the theory of topological spaces and its role within modern mathematics and be able to learn elementary Homotopy

  • Master elementary techniques for boundary value problems

  • Identify and use several mathematical models, (e.g. propositional logic, trees) including some of those underlying computing and information technology
At the end of the Master’s programme in Mathematics, the students will be able to:
  • Apply knowledge of Mathematics, in all the fields of learning including higher research and its extensions

  • Innovate, invent and solve complex mathematical problems using the knowledge of pure and applied mathematics

  • Explain the knowledge of contemporary issues in the field of Mathematics and applied sciences

  • Adjust themselves completely to the demands of the growing field of Mathematics by lifelong learning

II Semester – M201T Algebra II

M202T Complex Analysis

M203T Functional Analysis

M204T Partial Differential Equations

M205T Numerical Analysis-I

M205P Numerical Analysis-I practical

MSC2.1 Number Theory
  • Understand how geometry techniques can be applied to mechanics and physics

  • Understand fundamental properties of matrices including determinants, inverse matrices, matrix factorisations, eigenvalues and linear transformations

  • Undertaking basic design calculations of fluid engineering systems

  • Student will have industry/ institution internship

III Semester -M301T Differential Geometry

M302T Fluid Mechanics

M303T Topology II

M304T Linear Algebra

M305T Numerical Analysis II

M306P Numerical Analysis II Practical

MOE3.1 Open Electives Fundamentals of Mathematics
  • Understand how geometry techniques can be applied to mechanics and physics

  • Understand fundamental properties of matrices including determinants, inverse matrices, matrix factorisations, eigenvalues and linear transformations

  • Undertaking basic design calculations of fluid engineering systems

  • Student will have industry/ institution internship

IV Semester – M401T Measure and integration

M402T Mathematical Methods

M403T(A) Riemannian Geometry

M403T(B) Magnetohydrodynamics

M403T(C) Finite element method with applications

M404P Latex and Latex Beamer practical

Project work
  • Give an account of the construction of the Lebesgue integral and be able to use it

  • Be able to solve basic classical variational problems

  • Identify the MHD equations and derive the associated mass and momentum conservation equations

  • Describe the general steps used in the finite element analysis to model problems in engineering
SEMESTER/ TITLE OF THE COURSE LEARNING OUTCOME
  • I Semester
    – M101T Algebra I

  • M102T Real
    Analysis

  • M103T Topology I

  • M104T Ordinary
    Differential
    Equations

  • M105T Discrete
    Mathematics

  • M105P Discrete
    Mathematics
    practical

  • MSC1.1 Statistics
  • Understand and
    appreciate the
    power and beauty
    of abstract
    mathematics, a
    range of topics in
    real analysis

  • Demonstrate
    knowledge of the
    theory of
    topological spaces
    and its role within
    modern
    mathematics and
    be able to learn
    elementary
    Homotopy

  • Master elementary
    techniques for
    boundary value
    problems

  • Identify and use
    several
    mathematical
    models, (e.g.
    propositional logic,
    trees) including
    some of those
    underlying
    computing and
    information
    technology
  • II Semester –
    M201T Algebra II

  • M202T Complex
    Analysis

  • M203T Functional
    Analysis

  • M204T Partial
    Differential
    Equations

  • M205T Numerical
    Analysis-I

  • M205P Numerical
    Analysis-I practical

  • MSC2.1 Number
    Theory
  • Understand how
    geometry
    techniques can be
    applied to
    mechanics and
    physics

  • Understand
    fundamental
    properties of
    matrices including
    determinants,
    inverse matrices,
    matrix factorisations,
    eigenvalues and
    linear
    transformations

  • Undertaking basic
    design calculations
    of fluid engineering
    systems

  • Student will have
    industry/ institution
    internship
  • III Semester –
    M301T Differential
    Geometry

  • M302T Fluid
    Mechanics

  • M303T Topology II

  • M304T Linear
    Algebra

  • M305T Numerical
    Analysis II

  • M306P Numerical
    Analysis II Practical

  • MOE3.1 Open
    Electives
    Fundamentals
    of Mathematics
  • Understand how
    geometry
    techniques can be
    applied to
    mechanics and
    physics

  • Understand
    fundamental
    properties of
    matrices including
    determinants,
    inverse matrices,
    matrix factorisations,
    eigenvalues and
    linear
    transformations

  • Undertaking basic
    design calculations
    of fluid engineering
    systems

  • Student will have
    industry/ institution
    internship
  • IV Semester
    – M401T Measure
    and integration

  • M402T
     Mathematical
    Methods

  • M403T(A)
     Riemannian
    Geometry

  • M403T(B)
     Magnetohydro-
    dynamics

  • M403T(C) Finite element method with applications

  • M404P Latex and Latex Beamer practical
  • Project work
  • Give an account of the construction of the Lebesgue integral and be able to use it

  • Be able to solve basic classical variational problems

  • Identify the MHD equations and derive the associated mass and momentum conservation equations

  • Describe the general steps used in the finite element analysis to model problems in engineering
PROGRAM SPECIFIC OUTCOME
At the end of the Master’s programme in Mathematics, the students will be able to:
  • Apply knowledge of Mathematics, in all the fields of learning including higher research and its extensions

  • Innovate, invent and solve complex mathematical problems using the knowledge of pure and applied mathematics.

  • Explain the knowledge of contemporary issues in the field of Mathematics and applied sciences

  • Adjust themselves completely to the demands of the growing field of Mathematics by lifelong learning

FACULTY

Ms. Gowthami G

Assistant Professor

M.Sc.,
gowthamig.nmkrv@rvei.edu.in