overview
About Mathematics Department
The Department of Mathematics was established in 1990. Both permanent teaching staff members have been serving the department for more than 27 years, ensuring stability, consistent syllabus completion, strong conceptualisation, and practical application of the subject.
Both faculty members are Patron and Life Members of the Marathwada Mathematical Society and actively encourage and guide students to participate in competitions and seminars organised by the Society.
Head of department
Mrs. Geeta Sharad Kawale
M.Sc. (Mathematics), Ph.D. (Pursuing)
department shedule
Mon – Tue
10:00 AM – 5:00 PM
Wed- Thu
10:00 AM – 5:00 PM
Friday
10:00 AM – 5:00 PM
2nd and 4th Sat
Open
Sunday
Closed
What We Offer
Programmes Offered
Combination:
Curriculum
Teaching Syllabus
Programme Outcomes
Course / Outcome
Outcome Statements
Differential & Vector Calculus
Limits, continuity, Leibnitz’s theorem, Taylor’s theorem, Euler’s theorem, total differentials, gradient, divergence, and curl.
Integral Calculus & Vector Calculus
Partial fractions, reduction formulae, areas, volumes, surface integrals, Gauss divergence theorem, Stoke’s theorem.
Number Theory
Division algorithm, GCD, Euclidean algorithm, Diophantine equations, Fermat’s & Wilson’s theorem, Euler’s phi-function, Mobius inversion formula.
Numerical Analysis
Bisection and Newton-Raphson methods, finite differences, Newton’s and Lagrange’s interpolation, least-squares curve fitting, numerical solutions of ODEs.
Abstract Algebra
Sets, functions, integers, groups, subgroups, normal subgroups, homomorphism, rings, vector spaces and modules.
Mechanics
Rigid body, equilibrium, forces on a particle and rigid body, centre of gravity, Newton’s laws, projectile motion, central orbits.
Differential Equations
First and higher order ODEs, linear, exact, and Bernoulli equations; simultaneous and partial differential equations.
Geometry
Planes, lines, spheres, cones, cylinders, and conicoids; derivation and application of theoretical formulae.
Integral Transforms
Laplace transform and its properties; inverse Laplace transform, solving ODEs via Laplace transform; Beta & Gamma functions; non-linear PDEs by Charpit’s and Jacobi’s methods, 2nd order PDEs in canonical form.
Real Analysis I
Sets, subsets, functions, real and complex valued functions, countable and uncountable sets, sequences and series, Jacobians.
Real Analysis II
Metric spaces, connectedness, completeness, compactness, Riemann integral, Fourier series.
Ordinary Differential Equations I
Linear ODEs with variable coefficients, existence and uniqueness theorems, Wronskian, Legendre equations, regular singular points.
Upon completion of the B.Sc. Mathematics programme, graduates will be able to :
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