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BCSWritten
BCS written syllabus
General and technical cadres · 235 pages
Compulsory subjects and post-related subjects for professional and technical cadres. Confirm the applicable subject code in the recruitment notice.
Published by BPSC. Collected 2026-11-14. Confirm the edition and subject against your recruitment notice before studying.
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SYLLABUS FOR BCS (WRITTEN) EXAMINATION
117/235
APPLIED MATHEMATICS
(POST RELATED)
Subject Code: 561
Total Marks-200
Part-I
Marks: 100
Group-A: Statics
(a) Forces acting in a plane, parallel forces, moments and couples.
(b) Equilibrium of coplanar forces. Astatic, stable and unstable equilibrium.
(c) Work, Virtual work.
(d) Centre of gravity. Forces in three dimensions.
Group-B: Dynamics
(a) Motion in a straight line, Simple harmonic motion.
(b) Motion in a plane referred to Cartesian and polar coordinates. Radial and transverse velocities;
central, tangential and normal acceleration. Central forces.
(c) Motion in resisting medium.
(d) Motion in three dimensions.
Group-C: Mathematical Methods
(a) The Laplace Transform: Definition, existence and basic properties Differentiation and integration,
Inverse Laplace transform and convolution, Solution of linear differential equations with constant
coefficients.
(b) Bessel‘s Equation: Solution, Generating function, Recurrence relation, Orthogonality.
(c) Legendre‘s Equation: Solution, Generating function, Recurrence relation, Rodrigui‘s formula and
orthogonality of Legndre Polynomial.
(d) Fortier Series: Fortier Coefficients, Sine and Cosine series, Dirichlet‘s theorem, Properties and
applications.