Department of Mathematics

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Department of Mathematics

The Department of Mathematics was established in the year 1995, as a complementary subject for B.Sc Petrochemicals and B.Sc. Physics courses. In 2013 M.Sc. Mathematics has been started.

Our vision is to develop a love and appreciation for the discipline as an intellectual endeavor. To foster a Solid competency in Mathematics. To create an awareness of the intrinsic relation of mathematics with other technical fields. To set a foundation for further studies and a career in mathematically related fields.

Our Mission is to familiarize students with basic mathematical tools. To generate mathematical concepts and ways of thinking.To highlight the importance of mathematical thinking. To develop communication skills appropriate to the science of mathematics.

Graduates of the mathematics program will be able to:

>> Apply knowledge of Mathematics, in all the fields of learning including higher research and its extensions.

>> Innovate, invent and solve complex mathematical problems using the knowledge of pure and applied mathematics

>>  To solve one dimensional Wave and Heat equations employing the methods in Partial Differential equations.

>>  Utilize Number Theory in the field of Cryptography that helps in hiding information and maintaining secrecy in Military information transmission, computer password and electronic commerce.

>>  Facilitate in the study of crystallographic groups in chemistry and Lie symmetry groups in physics.

>> Demonstrate risk assessment in Financial markets, Disease spread in Biology and Punnett squares in Ecology.

>> Learn to solve improper integrals.

>>  Make use of linear equations for solving any differential equations Understand various problems related with planar graphs.

>>  Understand the Concepts of Matrices and linear equations

>>  Learn properties of inverse Laplace transforms

>>  Demonstrate a competence in formulating, analysing, and solving problems in several core areas of mathematics at a detailed level, including analysis, linear and abstract algebra, statistics, probability and applications of mathematics

>>  Demonstrate an advanced knowledge and fundamental understanding of a number of specialist mathematical topics, including the ability to solve problems related to those topics using appropriate tools and techniques

>>  Communicate clearly in writing and orally knowledge, ideas and conclusions about mathematics, including formulating complex mathematical arguments, using abstract mathematical thinking, synthesising intuition about mathematical ideas and their applications

>>  Demonstrate that they can advance their own knowledge and understanding of mathematics and its applications with a high degree of autonomy.

MSc Mathematics course mainly focus on the thrust areas of Mathematics like Linear Algebra, Discrete Mathematics, Combinatorics, Number theory, Analysis, Differential equations, Linear programming and OR, Topology etc. and upon successful completion of this courses students will be able to:

>> Solve systems of linear equations,

>> Recognize the concepts of the terms span, linear independence, basis, and dimension, and apply these concepts to various vector spaces and subspaces,

>> Use matrix algebra and the related matrices to linear transformations,

>> Use technological tools such as computer algebra systems or graphing calculators for visualization and calculation of linear algebra concepts.

>> Formulate and interpret statements presented in Boolean logic. Reformulate statements from common language to formal logic. Apply truth tables and the rules of propositional and predicate calculus,

>> Demonstrate a working knowledge of set notation and elementary set theory, recognize the connection between set operations and logic, prove elementary results involving sets, and explain Russell's paradox,

>> Gain an historical perspective of the development of modern discrete mathematics

>>  Apply diverse counting strategies to solve varied problems involving strings, combinations, distributions, and partitions,

>> Write and analyze combinatorial, algebraic, inductive, and formal proofs of combinatoric identities, and

>> Recognize properties of graphs such as distinctive circuits or trees.

>> Define and interpret the concepts of divisibility, congruence, greatest common divisor, prime, and prime-factorization,

>> Apply the Law of Quadratic Reciprocity and other methods to classify numbers as primitive roots, quadratic residues, and quadratic non-residues,

>> Determine the continuity, differentiability, and integrability of functions defined on subsets of the real line,

>> Apply the Mean Value Theorem and the Fundamental Theorem of Calculus to problems in the context of real analysis, and

>> Write solutions to problems and proofs of theorems that meet rigorous standards based on content, organization and coherence, argument and support, and style and mechanics.

>> Solve differential equations of first order using graphical, numerical, and analytical methods,

>> Solve and apply linear differential equations of second order (and higher),

>> Solve linear differential equations using the Laplace transform technique,

>> Develop the ability to apply differential equations to significant applied and/or theoretical problems.

>> Assess properties implied by the definitions of groups and rings,

>> Use various canonical types of groups (including cyclic groups and groups of permutations) and canonical types of rings (including polynomial rings and modular rings),

>> Produce rigorous proofs of propositions arising in the context of abstract algebra.

>> Formulate and model a linear programming problem from a word problem and solve them graphically in 2 and 3 dimensions, while employing some convex analysis,

>> Be able to modify a Primal Problem, and use the Fundamental Insight of Linear Programming to identify the new solution, or use the Dual Simplex Method to restore feasibility.

>> Define and illustrate the concept of topological spaces and continuous functions,

>> Prove a selection of theorems concerning topological spaces, continuous functions, product topologies, and quotient topologies

>> Represent complex numbers algebraically and geometrically,

>> Apply the concept and consequences of analyticity and the Cauchy-Riemann equations and of results on harmonic and entire functions including the fundamental theorem of algebra,

>> Analyze sequences and series of analytic functions and types of convergence,

On the completion of the M.Sc. (mathematics) students are able to work in


>> RBI takes Statistical Research Officer for the purpose of Statistical Data Analysis & Research work.

>> Professors in Colleges & Universities

>> 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 MSc in Mathematics you can go for a Ph.DthroughGATE,NET,NBHM.Also apply for TIFR,IISC,ISI,CMI,IISER for Ph.D. in Mathematical fields.

>> Indian Air Force, Naval Academy recruits Mathematics graduates for different posts in Defense through UPSC exam.

>> A Mathematics graduate can also apply in Govt Banks for the post of officer in Banks.

>> Operations research has been defined as an interdisciplinary branch of applied mathematics and formal science that uses advanced analytical methods such as mathematical modeling, statistical analysis, and mathematical optimization to arrive at optimal or near-optimal solutions to complex decision-making problems.

>> Professionals in this field use IT tools to help enterprises of all sizes achieve their goals. Most systems analysts work with specific types of computer systems – for example, business, accounting, and financial systems or scientific and engineering system to prepare cost-benefit and return-on-investment analysis to help management decide whether implementing the proposed technology would be financially feasible.

>> The leading job in modern times is the job of data analysis. A good knowledge of SAS, SPSS can help you to get this type of job with a marginal ability in the fields of Mathematics. After M.Sc. Mathematics, if you take some courses on SAS then it will help you to make a career as an Analyst.

>> Finance sectors have a huge demand of Mathematicians as financial analyst.

• mathematics

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