B.Sc. (Hons.) Mathematics Semester 7 Previous Year Question Papers

Sample questions from B.Sc. (Hons.) Mathematics Semester 7 papers

• Advanced Differential Equations (2025)

  Your Roll N.......................

• Applied Algebra (2026)

  1(a) Consider the production model x = Cx + dfor an economy with two sectors, where 2/andd =]. an inverse matrix to determine the production level necessary to. satisfy the final demand.

• Dynamical Systems (2025)

  Namè of the Paper Dynamical Systems

• Elements of Metric Spaces (2025)

  Let the real-valued function f be continuous on the closed and bounded interval [a, b]. Prove that f is bounded and attains its maximum value and minimum value at points of [a, b]. (7.5)

• Fundamentals of Topology (2026)

  Your Roll Nd............... AII questions cany equal marks. (a) Let (X, d) be a metric space and let B(x, r,) and

• Information Theory and Coding (2025)

  Define a Hamming binary code Ha.in (r, 2.). Let the Parity check matrix of binary Hamming code

• Introduction to Graph Theory (2026)

  State and prove Max Flow-Min cut theorem.

• Optimization (2026)

  ues. 1 (i Examine the converty of the function f71,22) = 4x} +*3+4x1x2. (a) (ii) Over what domain is the function f(x) = x2(x2 - 1) convex?

• Topics in Multivariate Calculus (2026)

  Define e - 6 definition of limit of a function of two variables. Using this definition, show that * )(0)(73 +y=)3 = 0.