This program enhances knowledge, creativity and computational skills in core mathematical subjects and their applications in Industry/ real life. It also provides a platform for a wide range of mathematically based careers. The modules are designed as per the guidelines of UGC and are accessible, relevant, interesting and challenging. The program includes a wide range of lecture modules in Operation research, Analysis, Topology, Algebra, Number Theory, Solid mechanics, Fluid mechanics, Integral Transforms, Differential Geometry but not limited to these topics, equipping the students for a variety of roles in employment and research.
Objectives
This course will provide information about groups, sub groups, characteristics of a field, prime subfield and ideal theory in the polynomial ring. It also imparts knowledge about modules.
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about the properties of real numbers, series of real numbers. It also imparts knowledge about convergence and divergence of series, differentiability of real functions and related problems.
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about intense foundation in fundamental concepts of pointset topology
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about the excel software which help to manage the data and presenting the data in both mathematical and picture form. The representation of data in different forms of graphs and maintaining the data using advance option will be discussed.
Outcomes
After completion of the course, the student will be able to:
Outcomes
Seminar enhance the skills of students in presentation, discussion, listening, critical thinking, studying major work.
Objectives
This course will provide information about algebraic structures. It also imparts knowledge about Noetherian and Aritinian rings and modules over such rings.
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about the various results and methods for solving Ordinary Differential equation. It includes many theorems and significant results of first, second and higher order differential equations. Also, provide a brief introduction to Initial value and boundary value problems, SturmLiouville problems and autonomous system.
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about the Spherical easel technology tool to form different Geometric objects on the surface of a sphere and give knowledge about some objects in Spherical Geometry.
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about Measurable sets, Measurable functions, Lebesgue Integral, Differentiation and Integration ,the Lebesgue Lp Spaces , their properties and also some of their fruitful applications.
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about the concepts of curvature of a space curve, the fundamental theorem for plane curves, the curvature and torsion of space curves, the fundamental theorem for space curves, the concept of a parameterized surface with the help of examples, the idea of first fundamental form/metric of a surface..To get introduced to geodesics on a surface and their characterization.
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about the various types of method for solving partial differential equations and difference equations. Many problems based on the Formation of Difference equations and their solution using Z transforms will be discussed.
Outcomes
After completion of the course, the student will be able to:
Seminar enhance the skills of presentation, discussion, listening, critical thinking etc.
Objectives
This course will provide information about basic concepts of set theory, logic, proof techniques, binary relations, graph and trees.
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about the techniques and some of the foundations of the cryptographic methods.
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information how to pursue the more theoretical aspects such as Fourier Analysis.
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about pure and applied Mathematics, with countless applications to the theory of differential equations, engineering, and physics. The students will be exposed to the theory of Banach spaces, the concept of dual spaces, the HahnBanach theorem, the axiom of choice and Zorn's lemma, Open mapping theorem, closed graph theorem. Inner product spaces, Hilbert spaces and their examples
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about stress and strain of materials, properties of area, principal axes and moments of inertia, tension and compression, strain energy, torsion.
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about solution of real life problems related to business using various optimization techniques.
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about the Python software. It includes basics of python and formation of python program using python lists, python tuples and how to build the python files using special functions.
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about the python environment. It includes the installation of python, basic and advanced programs based on mathematical form that helpful to understand the python formats.
Outcomes
After completion of the course, the student will be able to:
Seminars enhance the skills of students in resentation, discussion, listening, critical thinking etc.
Objectives
This course will provide information about various statistical tools for data analysis.
Outcomes
After completion of the course, the student will be able to use various statistical methods for data analysis
Objectives
This course will provide information about fuzzy sets, arithmetic operations on fuzzy sets, fuzzy relations, possibility theory, fuzzy logic, and its applications
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about Integral transforms so that the knowledge can be used in different fields of Science and Engineering.
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about theoretical and practical aspects of Mathematical models and Analytical methods.
Outcomes
After completion of the course, the student will be able to:
This course will provide information about basic concepts in Theoretical Seismology, including plane waves, harmonic wave, Pwaves, SVwaves, progressive waves and stationary waves. This course will present and emphasize those topics in order to aid the student in his future mathematical studies.
Outcomes:
After completion of the course, the student will be able to:
This course will provide information about the latex software that helps to prepare the high quality document typesetting which is preferably used for mathematical and scientific papers for various journals. It Includes the basics of Latex software and various options used to prepare the manuscripts or chapters as the requirement of the journals and thesis formats.
Outcomes:
After completion of the course, the student will be able to:
Seminars enhance the skills of students in resentation, discussion, listening, critical thinking etc.
After completion of the course, the student will be able to:
Use their knowledge of programming to find the solution for various concepts.
Objectives
This course will provide information about graphs as a powerful tool that can be used to solve practical problems in various fields.
Outcomes
After completion of the course, the student will be able to:
Objectives
This course will provide information about basic concepts of number theory. Students are able to apply theoretical knowledge to problems related to computer security.
Outcomes
After completion of the course, the student will be able to:
M.Sc. Mathematics
(I) B.Sc (Hons.) in concerned subject with at least 50% marks in aggregate from any recognized University
OR
(ii) B.Sc in full subjects with (Hons.) in concerned subject, obtaining at least 50% marks in aggregate of Hons. examination from any recognized University
OR
(iii) B.Sc. with concerned subject securing at least 50% marks in aggregate from any recognized University
OR
(iv) BA with Mathematics as one the main subject (for M.Sc. Mathematics only) securing at least 50% marks in aggregate from any recognized University.
Mathematics as a core subject has various dimensions in the field of research. Some government organizations took Mathematics students for various research fields. Also after M.Sc. in Mathematics you can go for a Ph.D. through GATE, NET, NBHM. Also apply for TIFR, IISC, ISI,CMI, IISER for Ph.D. in Mathematical fields. Mathematics offers a huge variety of career opportunities. It is important to plan ahead and know about your options.
Course  Course Fee  
Indian (INR)  International (USD)  


M.Sc. Mathematics 

2500  
Note:

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Mullana, Ambala (Haryana)
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