+91 98641 37777, +91 361 7110711 admission@adtu.in
Linkedin Instagram Youtube


MSc(Mathematics)

2 Years Master Degree Programme

Our Apporach

Global Education, Global Acceptance

  • Comprehensive Curriculum
  • Career-Oriented Skills
  • Industry Exposure

Industry-Academia Collaboration

AWS Educator
Oracle
Service Now
IBM
Zoho
Coursera
tcs
edutech

Specialization

Programme Specialization

  • Mathematics

Programme Details

icons Images
2 Years Programme

icons Images
Upto 100% Scholarship

icons Images
100% Placement Assistance

icons Images
Eligibility
B.Sc. With 45%

Read More

M.Sc. in Mathematics is a 2-year postgraduate programme which is divided into four semesters with a total number of 96 credits. It deals with a wide range of courses covering pure and applied areas of mathematical sciences. In MSc Mathematics, students get a deeper knowledge of advanced mathematics through a vast preference for subjects as algebra, calculus, real and complex analysis, number theory and computational mathematics. The students become more skilled and develop a disciplined thought process, logical articulation and problem-solving attitude through different thrust areas of Mathematics.

  • Graduates will be able to pursue respectable employment in the domain of teaching and research and banking sectors.
  • Graduates will contribute to the application, advancement, and transmission of knowledge in interdisciplinary fields of engineering and technology.
  • As an effective team member, graduates will demonstrate great professional skills, communication abilities, and ethical traits in a globally competitive environment.

  • Develop ability towards logical reasoning with articulation of mathematical aspects associated with various scientific phenomena.
  • Analyse and interpret problems relevant to technologies, socioeconomics etc.
  • Apply theoretical concepts to solve various problems.
  • Encourage proficiency in mathematical software like- Math Type, Mathematica, Latex etc.
  • Develop communication skills to communicate scientific and technological thoughts with peers and society.
  • Gain enrichment of knowledge towards professional ethics.

  • Apply a comprehensive understanding of the core area of Mathematics, both pure and applied and further connect with interdisciplinary approaches to address complex mathematical problems.
  • Possess sound knowledge of mathematical modeling, programming, And computational techniques as required for employment in various sectors.
  • Apply mathematical skill and logical reasoning for problem solving. Communicate mathematical ideas effectively in writing as well as orally.

Curriculum Details

Year wise Course Details

Odd Semester

Courses for this semester

Course Overview

This subject teaches the knowledge of Ordinary Differential Equation of 1st and 2nd order and their general solution. The students will learn the governing mathematical formulation and their solution of various physical problem.

Course Outcomes

  • Describe Differential Equation and its classification according to linearity and order.
  • Prove the existence theorem for a system of 1st order Differential Equation.
  • Identify the series solution of 2nd order Differential Equation with particular reference to Legendre, Bessel, Hermite and Gauss.
  • Verify the existence and uniqueness of Differential Equations involving initial and boundary value problems.
  • Identify the concept of stability of system of ODE as well as Eigen values and Eigen functions of Sturm Lioville systems.

Course Overview

This paper is intended for students to develop a strong foundation in Algebra with special emphasis on finite groups and algebraic number theory.

Course Outcomes

  • Define group, subgroups, normal subgroups including properties and related results.
  • Define class equation of group, Sylow’s theorems and their applications.
  • Define series of groups and its related results.
  • Describe ring structure along with properties and its related results.
  • Describe the classes of Ring structures, viz., the Principal ideal Domain, Euclidean domain and the unique factorization domain.

Course Overview

This paper build a strong analytical foundation of basic Real Analysis.

Course Outcomes

  • Describe Real Number System, its properties including metric space.
  • Analyze the properties of advanced differentiation and Integration of real valued functions in one or multiple variables.
  • Explore the difference between convergence and uniform convergence including the methods of convergence, absolute convergence in terms of sequence of functions.
  • Describe the nature of convergence in terms of series of function.
  • Describe the concept of R-S integral and the difference between Riemann and R-S integral.

Course Overview

This course build a structured and procedural programming understating of C programming skills. The major objective is to provide students with understanding of code organization and functional hierarchical decomposition with using complex data types.

Course Outcomes

  • 1. Explore C, its operators, loops and statements.
  • 2. Describe the idea and properties of arrays, data types searching and sorting.
  • 3. Define functions in C and analyze their arguments.
  • 4. Describe the concept of pointers, their expressions, array of pointers.
  • 5. Describe operations on files in C and types, concepts, creation of a linked list.

Course Overview

This paper gives a theoretical treatment to the numerical methods used to solve various problems of science and engineering.

Course Outcomes

  • 1. Describe the basic concepts of statistics, finite difference, errors and operators.
  • 2. Master the solving skills of system of linear equations using numerical methods.
  • 3. Utilize integral methods to solve the problems related to science and engineering.
  • 4. Explore various issues in numerical techniques such as convergence and stability.
  • 5. Analyze graphical representation of functions using general least square method.

Course Overview

To understand the concept of writing research articles and review. Students will apprehend and understand the importance of different types of scientific writing/documentation.

Course Outcomes

  • Identify research problems by reviewing literature.
  • Explain the sources, databases, and library components for literature search.
  • Identify the methods and tools for literature search.
  • Explain the process and various aspects of comprehensive literature review

Course Overview

This course will help the students to understand the basics of functions of complex variables, introduction to the theory of complex integration, conformal mappings etc. It is a course of particular importance to students of both pure and applied mathematics. Moreover, the student will be familiar with selected advanced topics, such as analytic continuation, meromorphic functions and will also be able to analysis and solve problems from mathematics and natural science/ technology.

Course Outcomes

  • 1. Describe the concept of limit, continuity, derivability of a complex variable function.
  • 1. Explore the basic properties of complex integration and theorems related to it.
  • 1. Describe the concept of convergence of sequence, series and uniqueness of series representation.
  • 1. Describe the residue theorem, residue at a finite point, residues at the point at infinity etc.
  • Describe the concept of conformal mappings and problems related to it.

Course Overview

This paper offers the general mathematical structure for discussing notions of analysis like convergence, continuity, compactness and connectedness. Notions like separation axioms, nets and filters will be introduced to emphasize that topological structures are more general than metric structures.

Course Outcomes

  • Describe the basic topological concepts.
  • Explore the results of classical analysis in a more general setting.
  • Analyze relationship of continuity with connectedness.
  • Describe relationship of continuity with compactness.
  • Explain relationship of continuity with Separation axioms.
Show More

Even Semester

Courses for this semester

Course Overview

This paper offers linear and non-linear partial differential equation and the properties of three important types of second order partial differential equations (Wave, Laplace, Heat).

Course Outcomes

  • 1. Describe PDE and solution of first order linear and non-linear PDE.
  • 1. Describe the solving skill of linear PDE with constant coefficient.
  • 1. Explore the classification of second order PDE, characteristic curve etc.
  • 1. Solve Laplace’s equation, wave equation and diffusion equation by separation of variable.
  • Describe wave equation, heat equation in terms of Green’s function.

Course Overview

This paper deal with the beautiful interplay between abstract theory and concrete applications of Linear Algebra. One of the goals of the course is to emphasize the analytic and geometric techniques of Linear Algebra.

Course Outcomes

  • Define vector space, linear dependence and independence of set, basis and dimension.
  • Define linear transformation, representation of linear transformation by matrices, rank nullity theorem.
  • Explore problem solving techniques like finding Eigen value, Eigen vectors, linear dependence, independence, rank and nullity etc.
  • Describe diagonal form, Jordan and rational canonical form.
  • Define inner product space along with linear functionals and different kinds of operators.

Course Overview

To understand the concept of writing research articles and review. Students will apprehend and understand the importance of different types of scientific writing/documentation.

Course Outcomes

  • Analyze research gap.
  • Formulate research objectives.
  • Prepare research synopsis.

Course Overview

This paper will help the students to understand the basics of functions of complex variables, introduction to the theory of complex integration, conformal mappings etc. It is a course of particular importance to students of both pure and applied mathematics. Moreover, the student will be familiar with selected advanced topics, such as analytic continuation, meromorphic functions and will also be able to analysis and solve problems from mathematics and natural science/ technology.

Course Outcomes

  • Describe the concept of limit, continuity, differentiability of a complex variable function.
  • Explore the basic properties of complex integration and theorems related to it.
  • Describe the concept of convergence of sequence, series and uniqueness of series representation.
  • Describe the residue theorem, residue at a finite point, residues at the point at infinity etc.
  • Describe the concept of conformal mappings and problems related to it

Course Overview

This paper offers the general mathematical structure for discussing notions of analysis like convergence, continuity, compactness and connectedness. Notions like separation axioms, nets and filters will be introduced to emphasize that topological structures are more general than metric structures.

Course Outcomes

  • Describe the basic topological concepts.
  • Explore the results of classical analysis in a more general setting.
  • Analyze relationship of continuity with connectedness.
  • Describe relationship of continuity with compactness.
  • Explain relationship of continuity with Separation axioms.
Show More

Odd Semester

Courses for this semester

Course Overview

This course build a strong foundation for Tensor Analysis for its application in Continuum Mechanics, Fluid Dynamics, MHD, Classical Mechanics etc. Also learn the mathematical formulations of various mechanical problems.

Course Outcomes

  • Describe three dimensional motion in cylindrical and polar coordinate form.
  • Explain motion of a rigid body and its related results.
  • Describe generalised coordinate, Lagrange equation of motion in system.
  • Explore tensors and its operations.
  • Define covariant derivatives of tensors and its generalisations.

Course Overview

Functional analysis will give knowledge of certain topological-algebraic all structures and the methods by which they could be applied to analytical problems. The objective of the course is to study the main properties of bounded operators between Banach and Hilbert spaces, the basic results associated to different types of convergences in normed spaces and the spectral theorem and its applications.

Course Outcomes

  • Describe the concept of classical Banach spaces and its related results, Lp spaces along with inequalities.
  • Define General Banach spaces, Hahn-Banach theorem and its consequences.
  • Describe embedding of a normed linear space, strong and weak topologies and open mapping theorem.
  • Describe Hilbert’s spaces and its properties, Bessel’s inequalities, and Gram-Schmidt orthogonalization process.
  • Define normal and unitary operators, projections, spectrum of an operator etc.

Course Overview

Number theory introduces students to some of the classical problems in elementary number theory. Topics include divisibility, primes, unique factorization, Diophantine equation, congruences, quadratic reciprocity. Optional topics may include sums of squares, number theoretic functions continued fractions, prime number theory etc.

Course Outcomes

  • Describe Euclidean algorithm, Fermat’s theorem, Euler’s theorem, Wilson’s theorem and solve problems related to these.
  • Define congruence modulo, primitive roots, quadratic residues and describe their properties.
  • Explore the greatest integer function, arithmetic function, multiplicative function and their properties.
  • Describe Diophantine equations, properties of Pythagorean triples, sums of two, four and five squares.
  • Describe simple continued fractions, finite and infinite continued fractions and solve problems related to it.

Course Overview

This paper deals with few interesting topics of Graph Theory as well as certain fascinating applications of various types of Graphs.

Course Outcomes

  • 1. Describe graph and its operations.
  • 2. Define trees and its properties.
  • 3. Define planar and non-planar graph and its matrix representation.
  • 4. Define Directed Graphs and Enumeration of Graphs.
  • 5. Explore the applications of graphs in computer programming.

Course Overview

This course introduces fundamental aspects of fluid flow behaviours and Dynamics of viscous fluid flows and governing equations of motion.

Course Outcomes

  • Define waves and its basic concepts.
  • Describe stress-strain relationship of Newtonian fluids.
  • Describe two and three Dimensional Inviscid Fluid Flows.
  • Derive Navier-Stokes equations under different geometries.
  • Describe Laminar boundary layer and Blasius equation.

Course Overview

The purpose of the course is to expose the students to the basic elements of continuum mechanics in a sufficiently rigorous manner. The students should be able to appreciate a wide variety of advanced courses in solid and fluid mechanics. Also, the students will learn about the fundamentals of fluid dynamics, different types of flows, stream,flowrate and hydrodynamic conservation laws.

Course Outcomes

  • Describe the continuum concept of stress, Cauchy’s stress principle, stress tensor etc.
  • Define strain and its different types together with the Lagrangian and Eulerian descriptions.
  • Describe motion, rate of deformation and Vorticity with their physical interpretation.
  • Define the kinematics of fluids in motion and equations of motion of inviscid fluids.
  • Describe motion in a plane and motion in space, Vortex motion and general theory of irrotational motion.
Show More

Even Semester

Courses for this semester

Course Overview

This course is to familiarize various essential procedure and tools which are frequently employed in analytical solution of problems arise in physical science. The technique of calculus of variations will be discussed for solving complex optimization problems in physical science, geometry and many other areas of interest in current trend.

Course Outcomes

  • Define integral equation and describe mathematical methods to solve integral equations.
  • Describe Laplace transformation and its application.
  • Describe Fourier transformation and its application.
  • Explore the solutions of wide range of problems in physical sciences using calculus of variation.

Course Overview

Operation research helps in solving problems in different environment that needs discussion. The module covers topics that include linear programming transportation, assignment. It aims to introduce students to use quantitative methods and techniques for effective decision-making, model formulation and applications that are used in solving business decision problems.

Course Outcomes

  • Describe the basic concepts of linear programming and its formulation together with graphical solution.
  • Solve linear programming problems using simplex method, Big-M simplex method and dual simplex method.
  • Find the initial basic feasible solution by Least Cost Method.
  • Define Assignment Problem and its mathematical formulation, Hungarian method for solving an assignment problem, unbalanced assignment problem and salesman problem.
  • Describe the Queueing theory and its basic concepts together with Basic of Game theory, some definitions and Two-Person Zero-Sum game.

Course Overview

This course deals with the classifications and modelling of Uncertainty based on Fuzzy sets and systems.

Course Outcomes

  • Define Fuzzy sets and explain uncertainty using fuzzy set theory.
  • Define Fuzzy number and method of construction of Membership Function.
  • Describe Fuzzy relations and its types.
  • Explain Fuzzy logic and fuzzy rule based system.
  • Describe the solution of real world problems under uncertainty using Fuzzy sets.

Course Overview

This paper exposes to the Lebesgue Theory of Integration as an extension of the standard Riemann Theory.

Course Outcomes

  • Define measure, measurable sets and their properties.
  • Describe measurable functions and their convergence.
  • Integrate functions using Lebesgue Integration tools.
  • Describe L^p Space and related inequalities involving the space.
  • Describe some statistical tools like Expectation, Probability distribution as Lebesgue Integrals.

Course Overview

Introduction to cryptography covers the basic knowledge in understanding and using cryptography. It is the process of hiding or coding information so that only the person a message was intended for can read it. The art of cryptography has been used to code messages for thousands of years and continues to be used in bank cards, computer passwords and e-commerce. The course covers the basics concepts of cryptography including traditional ciphers, block ciphers, stream ciphers, public and private key crypto systems.. The course also includes the theory of hash functions, authentication systems, network security protocols and malicious logic.

Course Outcomes

  • Describe the basics of cryptography, classical encryption techniques and ciphers.
  • Explore key distribution and random number generation together with basic modular arithmetic, Fermat’s and Euler’s theorem.
  • Describe the principles of public key crypto systems, RSA algorithm, Diffie-Hellman key exchange algorithm.
  • Define hash functions, digital signatures, authentication protocols and digital signature algorithm.
  • Describe IP security, authentication header, key management, web security, secure electronic transaction and firewall design principles.

Course Overview

The course is based on an individual research work including literature studies according to the study plan. An individual study plan will be commonly written by the supervisor and the student which serves as a project description. At the end students will write a research report.

Course Outcomes

  • Analyze data and tabulation of results.
  • Prepare an effective dissertation report.
  • Prepare a sound research report.
Show More

Scholarship

Apply Scholarship through CST

CST- Common scholarship test is a national and international level online MCQ based examination funded for intellectual empowerment by Assam down town University.

CST- Maximum enrolment each year is 120 seats and any 10+2 students can apply. Adtu is northeast India’s first placement driven university to provide 100% scholarship benefits worth 10 cr.

CST aims to inspire brilliant and competent students to pursue further education. Accredited with a prestigious grade by NAAC, UGC and AICTE.

How to Apply Apply Now

Apply Scholarship Through

Explore more scholarships that can help you reach out your goal with financial aid.

This scholarship is valid on the basis of the board/university examination

95% & above 100% Scholarship on all semester
90%-94.9% 50% Scholarship on all semester
80%-89.9% 25% Scholarship on all semester

This scholarship is valid on the basis of the board/university exam

National & International Level 100% Scholarship on all semester
State Level 50% Scholarship on all semester
District Level 25% Scholarship on all semester

This scholarship is valid on the basis of the board/university exam

National & International Level 100% Scholarship on all semester
State Level 50% Scholarship on all semester
District Level & NCC Certificate Holder 25% Scholarship on all semester

A 50% scholarship on total semester fees is provided to all specially abled students.

A 100% scholarship on the last semester fee is provided to all the alumni of Assam down town University.

A 100% scholarship on total semester fee for Economically Backward Classes

Campus Life

Our Facilities

World Class Facilities

Discover a multitude of world-class amenities and cutting-edge resources at Assam down town University, enhancing your academic journey to new heights.

Some of our Facilities
  • Library
  • Swimming Pool
  • Play Ground
  • Amphitheatre
  • Basketball Court
  • Cinema Hall
  • Cafeteria
  • Canteen
  • Indoor stadium
  • Yoga Studio
  • Gym
  • ATM

Start-Up &
Incubation Centre

The Start-Up & Incubation Centre at Assam down town University provides a supportive environment for young entrepreneurs to develop and grow their business ideas. The center provides mentorship, funding, and networking opportunities to help innovative ideas become successful businesses.

Rural Empowerment with SFURTI scheme

SFURTI scheme to support rural entrepreneurs and innovators, an initiative by the Ministry of MSME

TIDE 2.0 scheme for ICT-based startups

TIDE 2.0 scheme for ICT-based startups which provides a grant of Rs. 4L and Rs. 7L under EiR and Grant categories respectively, an initiative by the Ministry of MeitY.

dtVL Ideation interest-free loans up to Rs. 2 lakhs.

dtVL Ideation, an incubation program for early-stage entrepreneurs with a market-ready solution/product, offering interest-free loans up to Rs. 2 lakhs.

Innovation with Sprout UP program

Sprout UP, an incubation program for students, faculties, and researchers with innovative business ideas, prototypes, or technology solutions.

Icons Images

Job Created
Icons Images

Start Ups
Icons Images

Govt and MSME Collaboration
Icons Images

International Tie-ups

Our Recruiters

What our Students say

Kailash Timsina
Student

"I am a BBA student of 3rd semester. I hail from Bhutan. I vow that I am having a great experience i...

Juliush Mushahary
Student

"AdtU is amazing. I am a BBA student of 2019-22 batch and I am just grateful for the amount of oppor...

Reshi Prasad Pokhrel
Student

Let us be grateful to the people and place who makes us happy. They are the charming gardeners whom ...

Debapriya Paul
Student

Currently I am pursuing MBA in Assam Down Town University. MBA is the professional course through wh...

Priti Jain
Student

AdtU is a university that focuses on giving knowledge, education and simultaneously making the stude...

Madhurya Bujar Barua
Student

The Assam downtown University has been a great learning experience. The university has provided me w...

Naeem Hussain
Student

My experience with AdtU has been splendid one indeed. Little needs to said about its scenic infrastr...

Dr Dipanjali Hazarika
Student

As a student I am very glad that I have got an opportunity to study here in Assam downtown universi...

Sakhyajit Roy
Student

My name is Sakhyajit Roy. I?m from Tripura. I joined the university on Auguest, 2017 as a student of...

Runi Bharadwaj
Student

I share immense pleasure to share my post graduate program experience in Assam down town University....

Jenifer Dhar
Student

AdtU is a platform where I got golden opportunities to feed my zeal for knowledge through the dynami...

Salehah Hussain Uthman
Student

I am fortunate to get an opportunity to study here in Assam Downtown University. The best thing abou...

Nisha Nirola
Student

Our university is one of the best place for developing ourselves in the field of research and acedem...

Liangsi Hallam
Student

ADTU is a university that is very good interms of infrastructure, academics and placements. Our tea...

Anushmita Kashyap
Student

It is one of best private colleges in North East India, it also provides a good environment for ed...

Dasanibha Mawphlang
Student

ADTU is a good University which provides the students with best quality lectures and ensures comfort...

Farhin zakia
Student

The environment of Assam downtown university is very pleasant.The department of BMLT is very good a...

Anamika Das
Student

The university has all the necessary facilities and amenities for students . The classrooms and the ...

Susmita Sinha
Student

Assam downtown University is well recognised all over india. In the ongoing pandemic situation it ha...

Alumni of the Month

Get Free Counselling Now

More Similar Programme

Faculty of Sciences
MSc(Botany)
  • Duration : 2 Years
  • Minimum Qualification : Graduation
Apply Now
Learn More
Faculty of Sciences
MSc(Biotechnology)
  • Duration : 2 Years
  • Minimum Qualification : Graduation
Apply Now
Learn More
Faculty of Sciences
MSc(Chemistry)
(Starting from 2024-25)
  • Duration : 2 Years
  • Minimum Qualification : Graduation
Apply Now
Learn More
Faculty of Sciences
MSc(Food Nutrition and Dietetics)
  • Duration : 2 Years
  • Minimum Qualification : Graduation
Apply Now
Learn More
Faculty of Sciences
MSc(Microbiology)
  • Duration : 2 Years
  • Minimum Qualification : Graduation
Apply Now
Learn More
Faculty of Sciences
MSc(Physics)
(Starting from 2024-25)
  • Duration : 2 Years
  • Minimum Qualification : Graduation
Apply Now
Learn More
Faculty of Sciences
MSc(Zoology)
  • Duration : 2 Years
  • Minimum Qualification : Graduation
Apply Now
Learn More