BSc CSIT (TU) Science Numerical Method (BSc CSIT, CSC207) Question Paper 2075
This is the official BSc CSIT (TU) (Science stream) Numerical Method (BSc CSIT, CSC207) question paper for 2075, as set in the regular annual examination. It carries 60 full marks and a time allowance of 180 minutes, across 12 questions. On Kekkei you can attempt this Numerical Method (BSc CSIT, CSC207) past paper online with a timer, get instant AI feedback and step-by-step solutions, and track the topics where you lose marks — completely free. Whether you are revising for your BSc CSIT (TU) Numerical Method (BSc CSIT, CSC207) exam or solving previous years' question papers, this 2075 paper is a great way to practise under real exam conditions.
Section A: Long Answer Questions
Attempt any TWO questions.
Explain the Gauss elimination method with partial pivoting to solve a system of linear equations. Solve the system 2x + y + z = 10, 3x + 2y + 3z = 18, x + 4y + 9z = 16.
Derive the Simpson's 1/3 rule for numerical integration. Evaluate the integral of 1/(1+x) from 0 to 6 using Simpson's 1/3 rule taking 6 subintervals.
Explain the fourth-order Runge-Kutta method for solving ordinary differential equations. Solve dy/dx = x + y, y(0) = 1 to find y(0.2) taking h = 0.1.
Section B: Short Answer Questions
Attempt any EIGHT questions.
State and explain Lagrange's interpolation formula with a suitable example.
Derive the trapezoidal rule for numerical integration and state its error term.
Explain the Gauss-Seidel iterative method to solve a system of linear equations.
Explain numerical differentiation using forward and backward difference formulae.
Explain Euler's method to solve an ordinary differential equation with an example.
Differentiate between the Gauss elimination and Gauss-Jordan methods.
Explain Newton's divided difference interpolation formula.
Explain the power method for finding the largest eigenvalue of a matrix.
Fit a second-degree parabola y = a + bx + cx^2 to a set of data using the least squares principle.