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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. To get admitted to Assam downtown University M.Sc in Mathematics course, applicants must meet the entry requirements-45% in graduation.
Year wise Course Details
Courses for this semester
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.
This paper is intended for students to develop a strong foundation in Algebra with special emphasis on finite groups and algebraic number theory.
This paper build a strong analytical foundation of basic Real Analysis.
To understand the concept of writing research articles and review. Students will apprehend and understand the importance of different types of scientific writing/documentation.
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.
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.
Participation in extracurricular activities enhances leadership, teamwork, and communication skills, fosters creativity and critical thinking, and promotes personal growth. Students develop resilience, adaptability, and social responsibility, gaining competencies that complement academic learning and prepare them for real-world challenges.
Courses for this semester
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).
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.
To understand the concept of writing research articles and review. Students will apprehend and understand the importance of different types of scientific writing/documentation.
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.
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.
Courses for this semester
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.
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.
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.
This paper deals with few interesting topics of Graph Theory as well as certain fascinating applications of various types of Graphs.
This course introduces fundamental aspects of fluid flow behaviours and Dynamics of viscous fluid flows and governing equations of motion.
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.
Courses for this semester
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.
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.
This course deals with the classifications and modelling of Uncertainty based on Fuzzy sets and systems.
This paper exposes to the Lebesgue Theory of Integration as an extension of the standard Riemann Theory.
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.
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.
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.
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 |
Discover a multitude of world-class amenities and cutting-edge resources at Assam down town University, enhancing your academic journey to new heights.
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.
SFURTI scheme to support rural entrepreneurs and innovators, an initiative by the Ministry of MSME
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, an incubation program for early-stage entrepreneurs with a market-ready solution/product, offering interest-free loans up to Rs. 2 lakhs.
Sprout UP, an incubation program for students, faculties, and researchers with innovative business ideas, prototypes, or technology solutions.
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