BSc CSIT (TU) Science Numerical Method (BSc CSIT, CSC207) Question Paper 2077
This is the official BSc CSIT (TU) (Science stream) Numerical Method (BSc CSIT, CSC207) question paper for 2077, 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 2077 paper is a great way to practise under real exam conditions.
Section A: Long Answer Questions
Attempt any TWO questions.
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.
Derive the Newton-Raphson method for solving a non-linear equation and discuss its convergence. Find a root of x^3 - 2x - 5 = 0 correct to four decimal places.
What is curve fitting? Explain the least squares method to fit a straight line y = a + bx to a given set of data points.
Section B: Short Answer Questions
Attempt any EIGHT questions.
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.
Define absolute, relative and percentage errors. Explain the sources of errors in numerical computation.
Explain the secant method for finding the root of an equation and compare it with the Newton-Raphson method.
Describe the false position (regula falsi) method with its geometric interpretation.