Syllabus for
MSc (Mathematics)
Academic Year (2023)
Assesment Pattern
Course Code
Title
CIA (Max Marks)
Attendance (Max Marks)
ESE (Max Marks)
MTH131
Abstract Algebra
45
5
50
MTH132
Real Analysis
45
5
50
MTH133
Ordinary Differential Equations
45
5
50
MTH134
Linear Algebra
45
5
50
MTH135
Discrete Mathematics
45
5
50
MTH151
Python Programming for Mathematics
50
-
-
MTH111
Research Methodology
G
-
-
MTH231
General Topology
45
5
50
MTH232
Complex Analysis
45
5
50
MTH233
Partial Differential Equations
45
5
50
MTH234
Graph Theory
45
5
50
MTH235
Introductory Fluid Mechanics
45
5
50
MTH251
Computational Mathematics using Python
50
-
-
MTH211
Teaching Technology and Service learning
G
-
-
MTH331
Measure Theory and Lebesgue Integration
45
5
50
MTH332
Numerical Analysis
45
5
50
MTH333
Differential Geometry
45
5
50
MTH341A
Advanced Fluid Mechanics
45
5
50
MTH341B
Advanced Graph Theory
45
5
50
MTH341C
Principles of Data Science
45
5
50
MTH341D
Numerical Linear Algebra
45
5
50
MTH342A
Magnetohydrodynamics
45
5
50
MTH342B
Theory of Domination in Graphs
45
5
50
MTH342C
Neural Networks and Deep Learning
45
5
50
MTH342D
Fractional Calculus
45
5
50
MTH351
Numerical Methods using Python
50
-
-
MTH381
Internship
G
-
-
MTH311
Machine Learning
G
-
-
MTH431
Classical Mechanics
45
5
50
MTH432
Functional Analysis
45
5
50
MTH433
Advanced Linear Programming
45
5
50
MTH441A
Computational Fluid Dynamics
45
5
50
MTH441B
Atmospheric Science
45
5
50
MTH441C
Mathematical Modelling
45
5
50
MTH442A
Algebraic Graph theory
45
5
50
MTH442B
Structural Graph Theory
45
5
50
MTH442C
Applied Graph Theory
45
5
50
MTH443A
Regression Analysis
45
5
50
MTH443B
Design and Analysis of Algorithms
45
5
50
MTH444A
Riemannian Geometry
45
5
50
MTH444B
Fuzzy Mathematics
45
5
50
MTH444C
Advanced Analysis
45
5
50
MTH451A
Numerical Methods for Boundary Value Problem using Python
50
-
-
MTH451B
Network Science with Python and NetworkX
50
-
-
MTH451C
Programming for Data Science in R
50
-
-
MTH451D
Numerical Linear Algebra using MATLAB
50
-
-
MTH411
Practice Teaching
G
-
-
MTH481
Project
100
-
-
Examination And Assesments
EXAMINATION AND ASSESSMENTS (Theory)
Component
Mode of Assessment
Parameters
Points
CIA I
Written Assignment
Reference work
Mastery of the core concepts
10
CIA II
Mid-semester Examination
Basic, conceptual and analytical knowledge of the subject
25
CIA III
Written Assignment
Class Test
Problem solving skills
Familiarity with the proof techniques
10
Attendance
Attendance
Regularity and Punctuality
05
ESE
Basic, conceptual and analytical knowledge of the subject
50
Total
100
EXAMINATION AND ASSESSMENTS (Practicals)
The course is evaluated based on continuous internal assessment (CIA). The parameters for evaluation under each component and the mode of assessment are given below:
Component
Parameter
Mode of assessment
Maximum points
CIA I
Mastery of the fundamentals
Lab Assignments
10
CIA II
Familiarity with the commands and execution of them in solving problems. Analytical and Problem Solving skills
Lab Work
Problem Solving
10
CIA III
Conceptual clarity and analytical skills in solving Problems using Mathematical Package / Programming
Lab Exam based on the Lab exercises
25
Attendance
Regularity and Punctuality
Lab attendance
05
=100%:5
97 – <100% :4
94 – < 97% :3
90 – <94% :2
85 – <90% :1
<85% :0
Total
50
Department Overview:
Department of Mathematics, CHRIST (Deemed to be University) is one of the oldest departments of the University. It offers programmes in Mathematics at the under graduate level, post graduate level as well as Ph.D. The department aims to:
* enhance the logical, reasoning, analytical and problem solving skills of students.
* cultivate a research culture in young minds.
* foster aesthetic appreciation for mathematical thinking.
* encourage students for pursuing higher studies in mathematics.
* motivate students to uphold scientific integrity and objectivity in professional endeavors.
Mission Statement:
Vision: Excellence and Service
Mission: To organize, connect, create and communicate mathematical ideas effectively, through 4D’s:Dedication, Discipline, Direction and Determination.
Introduction to Program:
The MSc course in Mathematics aims at developing mathematical ability in students with acute and abstract reasoning. The course will enable students to cultivate a mathematician’s habit of thought and reasoning and will enlighten students with mathematical ideas relevant for oneself and for the course itself.
Course Design: Masters in Mathematics is a two year programme spreading over four semesters. In the first two semesters focus is on the basic courses in mathematics such as Algebra, Topology, Analysis and Graph Theory along with the basic applied course ordinary and partial differential equations. In the third and fourth semester focus is on the special courses, elective courses and skill-based courses including Measure Theory and Lebesgue Integration, Functional Analysis, Computational Fluid Dynamics, Advanced Graph Theory, Numerical Analysisand courses on Data Science . Important feature of the curriculum is that students can specialize in any one of areas (i) Fluid Mechanics, (ii) Graph Theory and (iii) Data Science, with a project on these topics in the fourth semester, which will help the students to pursue research in these topics or grab the opportunities in the industry. To gain proficiency in software skills, four Mathematics Lab papers are introduced, one in each semester. viz. Python Programming for Mathematics, Computational Mathematics using Python, Numerical Methods using Python and Numerical Methods for Boundary Value Problem using Python / Network Science with Python and NetworkX / Programming for Data Science in R / Numerical Linear Algebra using MATLABrespectively. Special importance is given to the skill enhancement courses: Research Methodology, Machine Learning (during 2024-2025 for 2023-2024 batch) and Teaching Technology and Service learning.
