Masters of Science in Mathematics

Masters of Science in Mathematics

Entry Year

2020

Qualification

M.Sc Mathematics

Duration

2 years

Overview

About the Program

Students undertaking the M.Sc. program in Mathematics at Mount Carmel College are trained to explore and acquire an in-depth understanding of the episteme – Mathematics. By putting in a conscious effort to impart knowledge about the field by reputed professors and lecturers, this program is designed to foster a culture wherein students’ talent is amplified with knowledge, technical training and guidance. Through rigorous evaluation patterns, our students are encouraged to put their skills to use and venture into the field of Mathematics by enhancing their critical thinking abilities and sensibilities. On acquiring knowledge of the qualitative and quantitative techniques as well as gaining an in-depth understanding of the field, Graduates of this degree will be able to demonstrate their skills in Algebra, Numerical Analysis, Computer Graphics, etc. The Curricular and Extracurricular activities are designed in a way to ensure that the students receive a holistic understanding through the curriculum.

Head of Department

Ms. B Harini
M.Sc.

Vision

  • To provide quality, integral and career-oriented education and create a climate for human and educational excellence

Mission

  • To promote the realistic growth of women in all frontiers of life and empower them to be agents of liberative transformation and mathematical proficiency

Syllabus

Semester I

Semester II

Algebra

Topology

Real Analysis with MATHEMATICA

Complex Analysis with MATHEMATICA

Ordinary Differential Equations

Partial Differential Equations with MATLAB

Numerical Analysis-I with MATLAB Programming

Linear Algebra with SCILAB

Discrete Mathematics

Continuum Mechanics

Computational Statistics

Numerical Analysis-II

Soft Course

Soft Course

 

CDP

Semester III

Semester IV

Measure and Integration

Functional Analysis

Fluid Mechanics with MATHEMATICA

Mathematical Methods

Elective Paper-I

Elective Paper-III

Elective Paper-II

Project-I (on Elective paper-IV)

Theory of Numbers
Numerical Analysis-II

Project-II (General Project)

Soft Course

Soft Course

Inter/Multidisciplinary Course

Inter/Multidisciplinary Course

Internship

 

Semester III

Semester IV

Web Programming

Computer Based Optimization Techniques

Computer Graphics

Object Oriented Analysis and Design

Computer Architecture

Simulation and Modeling

Data Warehousing and Data Mining

Elective – II
Cyber Law
Network Security

Elective – I
Multimedia Technology
E-Commerce

 

 

Electives:

Third semester:

Elective Paper – I

Elective Paper –II 

  • Graph Theory
  • Special functions
  • Finite Element Analysis
  • Optimization Techniques
  • Fuzzy Set Theory
  • Entire and Meromorphic Functions

 

Fourth semester:

  • Differential Geometry
  • Design and analysis of algorithm
  • Magneto Hydrodynamics
  • Mathematical Modeling with Simulation
  • Stochastic Processes and Differential Equations
  • Computational Fluid Mechanics

Careers and Highlights

Summer Internship

M.Sc students are given an opportunity to take up summer internships in association with Companies, industries and institutes such as DELL, Microsoft, City bank, NAL, Bosch, IISC, ISRO,TIFR Pramarta etc.

Placements

Students are well placed in Academic Institutes/ Industry/ Company / Research as in the following DELL, Cognizant, Microsoft, IBM, AXA Life insurance, Earnst and Young, IIT, Bangalore university, International schools .

Colloborations/MOU

  • Wolfram
  • GT Enterprises
  • Pramarta
  • Government Science College
  • Bangalore University
  • IISC
Overview

Overview

About the Program

Students undertaking the M.Sc. program in Mathematics at Mount Carmel College are trained to explore and acquire an in-depth understanding of the episteme – Mathematics. By putting in a conscious effort to impart knowledge about the field by reputed professors and lecturers, this program is designed to foster a culture wherein students’ talent is amplified with knowledge, technical training and guidance. Through rigorous evaluation patterns, our students are encouraged to put their skills to use and venture into the field of Mathematics by enhancing their critical thinking abilities and sensibilities. On acquiring knowledge of the qualitative and quantitative techniques as well as gaining an in-depth understanding of the field, Graduates of this degree will be able to demonstrate their skills in Algebra, Numerical Analysis, Computer Graphics, etc. The Curricular and Extracurricular activities are designed in a way to ensure that the students receive a holistic understanding through the curriculum.

Head of Department

Ms. B Harini
M.Sc.

Vision

  • To provide quality, integral and career-oriented education and create a climate for human and educational excellence

Mission

  • To promote the realistic growth of women in all frontiers of life and empower them to be agents of liberative transformation and mathematical proficiency
Syllabus

Syllabus

Semester I

Semester II

Algebra

Topology

Real Analysis with MATHEMATICA

Complex Analysis with MATHEMATICA

Ordinary Differential Equations

Partial Differential Equations with MATLAB

Numerical Analysis-I with MATLAB Programming

Linear Algebra with SCILAB

Discrete Mathematics

Continuum Mechanics

Computational Statistics

Numerical Analysis-II

Soft Course

Soft Course

 

CDP

Semester III

Semester IV

Measure and Integration

Functional Analysis

Fluid Mechanics with MATHEMATICA

Mathematical Methods

Elective Paper-I

Elective Paper-III

Elective Paper-II

Project-I (on Elective paper-IV)

Theory of Numbers
Numerical Analysis-II

Project-II (General Project)

Soft Course

Soft Course

Inter/Multidisciplinary Course

Inter/Multidisciplinary Course

Internship

 

Semester III

Semester IV

Web Programming

Computer Based Optimization Techniques

Computer Graphics

Object Oriented Analysis and Design

Computer Architecture

Simulation and Modeling

Data Warehousing and Data Mining

Elective – II
Cyber Law
Network Security

Elective – I
Multimedia Technology
E-Commerce

 

 

Electives:

Third semester:

Elective Paper – I

Elective Paper –II 

  • Graph Theory
  • Special functions
  • Finite Element Analysis
  • Optimization Techniques
  • Fuzzy Set Theory
  • Entire and Meromorphic Functions

 

Fourth semester:

  • Differential Geometry
  • Design and analysis of algorithm
  • Magneto Hydrodynamics
  • Mathematical Modeling with Simulation
  • Stochastic Processes and Differential Equations
  • Computational Fluid Mechanics
Careers and Highlights

Careers and Highlights

Summer Internship

M.Sc students are given an opportunity to take up summer internships in association with Companies, industries and institutes such as DELL, Microsoft, City bank, NAL, Bosch, IISC, ISRO,TIFR Pramarta etc.

Placements

Students are well placed in Academic Institutes/ Industry/ Company / Research as in the following DELL, Cognizant, Microsoft, IBM, AXA Life insurance, Earnst and Young, IIT, Bangalore university, International schools .

Colloborations/MOU

  • Wolfram
  • GT Enterprises
  • Pramarta
  • Government Science College
  • Bangalore University
  • IISC