BSc CSIT (TU) Science Numerical Method (BSc CSIT, CSC207) Question Paper 2074
This is the official BSc CSIT (TU) (Science stream) Numerical Method (BSc CSIT, CSC207) question paper for 2074, 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 2074 paper is a great way to practise under real exam conditions.
Section A: Long Answer Questions
Attempt any TWO questions.
Explain the bisection method for finding the root of a non-linear equation. Find a real root of the equation x^3 - x - 1 = 0 correct to three decimal places using the bisection method.
What is interpolation? Derive Newton's forward and backward difference interpolation formulae and explain when each is used.
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.
Section B: Short Answer Questions
Attempt any EIGHT questions.
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.
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.