Department of Mathematics


  • The Department of Mathematics was started in 2006 with under graduate course (B.Sc.,Mathematics) and elevated into a post graduate department (M.Sc.,Mathematics) in 2011.
  • Mathematics is the power of antiquity, the richness of the heritage and the pride of serving the course education.
  • The Department is actively engaged in organizing Conferences, Seminars and Guest lecturers which paves way to hone the mathematical skills of the students.
  • The Department conducts specialized classes for NET/ SLET and also offers certificate courses on Aptitude skills. The department always focuses on enhancement of students’ knowledge.


  • To create a new learning environment that will encourage mathematical intelligence.
  • To use the mathematical knowledge for problem solving and exploring subjects by using multiple representations of the mathematical content
  • To develop the students ability to intelligently communicate mathematical results in both written and oral because the mathematical background to succeed discipline both academically and professionally.
  • To motivate the students in upgrading their interest in contemporary mathematical techniques.
  • To strengthen the students analytical abilities in the field of mathematics.
  • To make students aware of technology to explore mathematical concepts through activities and experimentation.
  • To inculcate in students the ability to apply mathematical and computational skills to model, formulate and solve real life application

Course Outcomes (COs)

Semester Course Title Course Code Course Outcome

Students will be able to

  1. Find maxima and minima of function of two variables.
  2. Expand trigonometric terms.
I Classical Algebra 22BMA1C2

Students will be able to

  1. Describe the relation between roots and coefficients.
  2. Transform the equation through roots multiplied by a given number.
  3. Solve the reciprocal equations.
II Analytical Geometry and Vector Calculus 22BMA2C1 Students will be able to

  1. Describe the various forms of equation of a Plane, Straight line, Sphere, Cone  and Cylinder.
  2. Find the angle between planes, Bisector planes, Perpendicular distance from a point to a plane, Image of a line on a plane and Intersection of two lines
  3. Compute the angle between a line and a plane and length of perpendicular from a point to a line.
II Integral Calculus 22BMA2C2 Students will be able to

  1. Explain properties of Beta functions.
  2. Solve Basic Integral Calculus problems.
  3. Explain properties of definite integrals.
  4. Prove reduction formulae and solve some problems by using this formula.
  5. Evaluate double and triple integrals
III Differential Equations 22BMA3C1 Students will be able to

  1. Extract the solution of differential equations of the first order and of the first degree by variables separable, Homogeneous and Nonhomogeneous methods.
  2. Find a solution of differential equations of the first order and of a degree higher than the first by using methods of solvable for p, x and y.
  3. Compute all the solutions of second and higher order linear differential equations with constant coefficients, linear equations with variable coefficients.
  4. Solve simultaneous linear equations with constant coefficients and total differential equations.
III Abstract Algebra 22BMA3C2 Students will be able to

  1. Define subgroup, Center, Normalizer of a subgroup.
  2. Find cycles and transpositions of a given permutations.
  3. Prove Lagrange’s theorem, Euler’s theorem and Fermat’s theorem.
  4. Define normal subgroups, quotient groups and index of a subgroup.
  5. Understanding the concept of the rings and integral domain.
IV Sequence & Series 22BMA4C1 Students will be able to

  1. Understand different types of sequence.
  2. Discuss the behavior of the geometric sequence.
  3. Prove properties of convergent and divergent sequence.
  4. Verify the given series is convergent or divergent by using different tests.
IV Linear Algebra 22BMA4C2 Students will be able to

  1. Critically analyze and construct mathematical arguments that relate to the study of introductory linear algebra
  2. Use computational techniques and algebraic skills essential for the study of systems of linear equations matrix algebras, vector spaces, Eigen values, Eigen vectors, orthogonality and diagonalization.
IV Transform Techniques 22BMA4C3 Students will be able to

  1. Ability to compute the Fourier series of the function with one variable.
  2. Understand the nature of the Fourier series that represent even and odd functions.
  3. Understand the concepts of Fourier transforms to the real world problems of circuit analysis and control system design.
  4. Apply z-transforms to solve the difference equation.
V Real analysis 22BMA5C1 Students will be able to

  1. Learn the concepts for understanding and analyzing abstract mathematics on the metric space.
  2. Acquire the knowledge of real functions, limit of functions and their properties.
V Graph Theory 22BMA5C2 Students will be able to

  1. Understand fundamental definitions of graph theory.
  2. Learn a clear perspective of solving real life problems using graph theory.
  3. Use a combination of theoretical knowledge and independent mathematical thinking for creative research in graph theory.
V Operations Research I 22BMA5C3 Students will be able to

  1. Develop a general understanding of the operation research methodology to decision making.
  2. Identify best techniques to solve a specific problem in linear model of operation research.
V Numerical Analysis 22BMA5C4 Students will be able to

  1. Learn a sufficient exposure in constructing difference tables and to use newton’s forward and backward formula for interpolation in equal intervals.
  2. Understand the numerical integration by using trapezoidal and Simpson’s rule.
VI Complex Analysis 22BMA6C1 Students will be able to

  1. Understand the importance of analytic function.
  2. Demonstrate and understand the concepts in complex integration.
VI Operations Research II 22BMA6C2 Students will be able to

  1. Understand the mathematical techniques to model and analyze decision problems with effective application to real life in optimization of objectives.
  2. Formulate simple reasoning and learning optimization problems.
  3. Analyze a problem and select a suitable strategy.
  4. Apply an approximate method to obtain a solution for a problem.
VI Mechanics 22BMA6C3 Students will be able to

  1. Understand the concepts of statics and dynamics applicable in real life.
  2. Acquire wide knowledge of handling problems related to mechanics.
  3. Acquire sufficient knowledge for further studies in mechanics at a higher level.
VI Number theory 22BMA6C4 Students will be able to

  1. Recall the basic concepts of divisibility.
  2. Demonstrate renowned theorems in solving congruence.
  3. Discuss on quadratic congruence equations.
  4. Analyze various arithmetical functions.
  5. Identify the numbers of special form and apply divisibility rules in solving Diophantine equations.

M.Sc.,Mathematics - 2022-24 (Batch)

Course Outcomes (COs)

Semester Course Title Course Code Course Outcome
I Algebra I 22MMA1C1 Students will be able to

  • Explain the fundamental concepts of algebraic structures.
  • Demonstrate accurate and efficient use of ring theory.
I Analysis I 22MMA1C2 Students will be able to

  • Acquire knowledge on the concepts of compact and connectedness
  • Understand the base of Limit function and monotonic functions.
I Differential Geometry 22MMA1C3 Students will be able to

  • Understand the advanced concepts in differential geometry of space curves.
  • Acquire the knowledge for the study of surfaces leading to advanced courses in geometry
I Ordinary Differential Equations 22MMA1C4 Students will be able to

  • Acquire the knowledge of mathematical techniques for solving higher order ODE.
  • Understand the conditions for the existence and uniqueness of solution for initial and boundary value problems.
I Number Theory 22MMA1E1 Students will be able to

  • Understand the concepts of Lioville’s function, bell series and Dirichlet multiplication.
  • Acquire the skills to solve simultaneous congruence problems.
II Algebra II 22MMA2C1 Students will be able to

  • Perform Algebraic operations on polynomial expressions.
  • Identify the degree leading coefficient and leading term of a polynomial expression.
II Analysis II 22MMA2C1 Students will be able to

  • Acquire the knowledge on the concept of some special functions.
  • Realize that this course had laid the foundation for the variety of courses
II Partial Differential Equations 22MMA2C3 Students will be able to

  • Understand the various concepts based on partial differential equations.
  • Develop clear thinking and analyzing for solving problems in partial  differential equations.
II Probability & Statistics 22MMA2C4 Students will be able to

  • Acquire the knowledge of different distributions like beta, t and F.
  • Understand standard concepts and methods of distributions.
II Fuzzy Algebra 22MMA2E1 Students will be able to

  • Gain an in-depth knowledge in the concept of fuzzy set theory.
  • Acquire knowledge in solving fuzzy mathematical problems.
III Complex Analysis 22MMA3C1 Students will be able to

  • Understand the various intrinsic concepts and the theory of complex analysis.
  • Acquire the knowledge of analyticity and complex integration.
III Topology 1 22MMA3C2 Students will be able to

  • Demonstrate an understanding of the concepts of metric spaces and topological spaces and their role in mathematics.
  • Demonstrate familiarity with a range of examples of topological structures.
III Graph theory 22MMA3C3 Students will be able to

  • Acquire fundamental knowledge of finding shortest paths.
  • Develop the skills on five colour theorem and four colour conjecture.
III Mechanics 22MMA3C4 Students will be able to

  • Work with the equations of motion using different principles.
  • Understand the techniques involved in Hamilton’s principle.
III Advanced Statistics 22MMA3E1 Students will be able to

  • Understand basic theoretical and applied principles of statistics.
  • Gain a thorough knowledge of applied statistics for problems solving.
VI Functional Analysis 22MMA4C1 Students will be able to

  • Understand the three structure theorems of functional analysis.
  • Gain knowledge about Hilbert spaces.
VI Topology II 22MMA4C2 Students will be able to

  • Prove basic results about completeness, compactness and connectedness within these structures.
  • Understand the theory of complete metric spaces and function spaces.
VI Operations Research II 22MMA4C3 Students will be able to

  • Develop few simple mathematical models and logical skill to problem solving.
  • Acquire knowledge of queuing models.


Social Responsibility Activity of our Department

From 20.02.2023 to 24.02.2023 & 11.12.2023 to 21.12.2023, Our Students gave training to the Students of  Ramanathan Chettiyar Municipal High School, Karaikudi for National Merit Scholarship Exam(NMMS).

Achievements of our Students

Our Alumni (2016-19) M.Abarna selected as a sub Inspector of Police (Law and Order).

Our Student X.Merlin Isha Rose(B.Sc.,Mathematics) secured prestigious University First Rank for the academic year 2022-2023 and  R.Sorna Lakshmi (M.Sc. ,Mathematics 2021-23) secured fifth rank.

On 14th October 2023, Mega Job Fair was conducted in our College premises jointly with Sivagangai Collectrate. Ten of our students got placement in reputed companies.

Our students participated in One day Inter College Meet “MATH  π -RATES”  conducted by Sri Bharathi Arts and Science for Women, Kaikurichi, Pudukkottai on 15th March 2023. Our students won “OVERALL CHAMPIONSHIP – WINNER AWARD ”and  Our Principal Congratulate the prize winners.

Extension/Extra Curricular Activities

Date(s) Activity Place
22.01.2024 Mathematical Rangoli Competition Dr.URCW
15.09.2023 Industrial Visit Horticulture college, Periyakulam.

Awareness Program on Government Bank Schemes

17.08.2023 Industrial Visit Naruvizhi Ambal Medern Rice Mill Pvt Ltd & Malar solvent refinery mill, Puduvayal.
28.03.2023 Awareness Program on “Saving Schemes for rural women”. Kanadukathan
27.02.2023 Inter department Quiz Contest  “Knowledge Quest – 2023 ” Dr.URCW

On  and  March 2023, two days tour to Vagamon and Cochin has been arranged for  final year students. In vagamon our students has visited various places like Meadows, Pine forest, Thangalpara, Suicide point, Anchuruli Tunnel.

Conferences/Seminars/Workshops organized by the College/Department  

S.No Date(s) Name of the Conference / Seminar / Workshop etc.
1 03.03.2023 National Conference on “Neoteric Vistas in Applied Mathematics”

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