BCA Numerical Methods

bcasemester 4

This course covers solution of nonlinear equations, interpolation and approximation, numerical differentiation and integration and solution of linear algebraic equation, ordinary differential equations and partial differential equations. It provides knowledge for numerical analysis.

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Faculty of Humanities and Social Sciences

2026

Bachelor of Computer Application

Numerical Methods

CACS252

Full Marks: 60

Pass Marks: 24

Candidates are required to give their answers in their own words as far as practicable. The figures in the margin indicate full marks.

"Group B"

Attempt any SIX questions.

[6×5 = 30]

Explain different types of errors in numerical computation with examples.

[5]

Apply Bisection Method to find a real root of \(x^3 - x - 1 = 0\) correct up to three decimal places.

[5]

Construct Lagrange's interpolation polynomial for the data:

X	1	2	4
Y	1	4	16

[5]

Derive Newton's forward interpolation formula

[5]

Solve the following set of linear equations using Gauss Jordan method:

\(x + y + z = 6\)

\(2x + 3y + z = 10\)

\(x + 2y + 3z = 13\)

[5]

Solve \(\frac{dy}{dx} = x + y, y(0) = 1\) using Euler's method (\(h = 0.1\)) for \(x = 0.1\).

[5]

Apply Trapezoidal rule to evaluate a definite integral.

[5]

"Group C"

Attempt any TWO questions.

[2×10 = 20]

Explain Shooting Method for boundary value problems with algorithm.

[10]

Fit a straight line \(y = ax + b\) to the following data using the Least Squares Method

x	1	2	3	4
y	2	5	7	8

[10]

Differentiate between Interpolation and approximation with their significances. Derive the formula for Simpson's (3/8) composite formula.

[10]

BCA Numerical Methods

BCA Semester 4 Numerical Methods Question Paper 2026 (TU) – Solved

Faculty of Humanities and Social Sciences