a RU BSc Maths Previous Year Papers (Rajasthan University)

University of Rajasthan (UOR) BSc Mathematics Previous Year Papers

University of Rajasthan BSc Mathematics old question papers (UG0803), free to download, with solutions for revision.

Papers and solutions are being added progressively. For the most recent papers, always check the official examination authority websites.

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B.Sc. Mathematics — University of Rajasthan, Jaipur

University of Rajasthan (UOR)  |  NEP 2020  ·  Examination 2025-26 & Onwards  |  Semesters I–VI  ·  Programme UG0803

Previous year papers 2022–26 · Discrete Mathematics · Calculus · Abstract Algebra · Real Analysis · Complex Analysis · Mechanics · Free PDF Download

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UOR B.Sc. Mathematics — Official NEP Syllabus (UG0803)
University of Rajasthan, Jaipur  ·  Examination 2025-26 & Onwards  ·  Semesters I–VI  ·  NEP 2020 Scheme
Download Syllabus PDF
Source & Attribution: Previous year papers on this page are sourced from uoronline.com. All papers are the intellectual property of the University of Rajasthan, Jaipur and are shared here for educational purposes only with full credit to the original source. Contact us for removal requests.
MJR 6 Credits
UG0803-MAT-51T-101
Discrete Mathematics & Optimization Techniques-I
Relations, equivalence classes, partial order, lattices, Boolean algebra, propositional calculus, truth tables. Discrete functions, generating functions, recurrence relations, graph theory, planar graphs, trees, spanning trees. Linear programming, simplex algorithm, transportation & assignment problems.
2025–26 NEP
2024–25 NEP
2022–23 Annual Scheme
2021–22 Annual Scheme
MJR 6 Credits
UG0803-MAT-52T-102
Calculus
Taylor's & Maclaurin's theorems, power series, curvature, pedal equations. Partial differentiation, Euler's theorem, Lagrange's multipliers, envelopes, maxima & minima. Asymptotes, curve tracing (Cartesian, polar & parametric), Beta & Gamma functions. Double & triple integrals, Dirichlet's integral, rectification, area, volume & surface of solids of revolution.
2025–26 NEP
2022–23 Annual Scheme
2021–22 Annual Scheme
MJR 4 Credits
UG0803-MAT-63T-201
Real Analysis-I & Differential Equations-I
Bounded sets, Bolzano-Weierstrass, Heine-Borel theorems, open & closed sets, compactness & connectedness. Real sequences: convergence, Cauchy sequences, continuous functions on closed intervals. Exact DEs, first-order higher-degree DEs, linear DEs with constant coefficients. Homogeneous linear DEs, second-order DEs, variation of parameters, undetermined coefficients.
Practical 2 Credits
UG0803-MAT-63P-202
Introduction to Scilab: A Mathematical Tool
Plotting graphs, complex number operations (Group A). Matrix operations, solving linear equations, root-finding (Group B). Solving LPPs and ODEs using Scilab built-in functions (Group C).
2025–26NEP
MJR 4 Credits
UG0803-MAT-64T-203
Real Analysis-II & Numerical Analysis
Derivable functions, Darboux's & Rolle's theorems, multivariable functions: directional & total derivatives. Riemann integration, mean value theorems, fundamental theorem of calculus, bounded variations. Newton's forward/backward interpolation, Lagrange's formula, numerical differentiation. Trapezoidal, Simpson's, Gauss quadrature; Bisection, Newton-Raphson, Euler's methods for ODEs.
2025–26 NEP
2023–24 Annual Scheme
2022–23 Annual Scheme
2021–22 Annual Scheme
Practical 2 Credits
UG0803-MAT-64P-204
Introduction to C Programming: As Mathematical Tool
Fibonacci, factorial, GCD/LCM, prime numbers, mean & standard deviation (Group A). Numerical integration: Trapezoidal, Simpson's rules; difference tables (Group B). Bisection, Regula-Falsi, Newton-Raphson methods; Euler's & Runge-Kutta methods for IVPs (Group C).
2025–26NEP
MJR 6 Credits
UG0803-MAT-75T-301
Abstract Algebra & Three Dimensional Geometry
Groups: binary operations, order, subgroups, permutation groups, cyclic groups, cosets, Lagrange's theorem. Morphism, Cayley's theorem, normal subgroups, quotient groups, homomorphism theorems. Rings, subrings, integral domains, fields, characteristics. Sphere, cone, cylinder: equations, tangent planes, enveloping surfaces, right circular forms.
2025–26NEP
2024–25Annual
2023–24Annual
2022–23Annual
MJR 6 Credits
UG0803-MAT-76T-302
Complex Analysis & Mechanics
Analytic functions, Cauchy-Riemann equations, harmonic functions, complex integration, Cauchy integral theorem & formula. Taylor's & Laurent's theorems, singularities, meromorphic & entire functions, Cauchy's residue theorem. Velocity & acceleration (radial/transverse, tangential/normal), motion in resisting media, motion on smooth curves. Equilibrium of coplanar forces, moments, friction, virtual work, catenary.
2025–26NEP
2024–25Annual
2023–24Annual
2022–23Annual

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UOR (University of Rajasthan) BSc Mathematics old question papers for the NEP 2020 scheme (Programme UG0803) are available on this page. Papers cover Semesters I–VI including Calculus, Discrete Mathematics, Abstract Algebra, Real Analysis, and Complex Analysis, with PDF download links.

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