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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
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MATHEMATICS
Part-II
Marks: 100
Group-A: Mechanics
1. General conditions of equilibrium, Principle of virtual work, Stable and unstable equilibrium, Centre
of gravity.
2. Rectilinear motion, simple harmonic motion, Motion in a plane, Motion under a central force.
3. Dynamics of rigid bodies, Moments of inertia, A‘ Alembert‘s principle.
4. Motion about a fixed axis.
5. Lagrange‘s equation for holonomic systems.
Group-B: Methods of Applied Mathematics
1. Ordinary differential equations of first and second order.
2. Liner equations with constant coefficients.
3. Solution of differential equations in series.
4. Beata and Gamma functions.
5. Special functions, Legendre, Hermite and Languerre polynomials; Bessel functions. Generating
functions, recurrence relations and other properties.
6. Complex functions, Differentiability, Cauchy -Riemann equ ations, Analytic function. Complex
integration, Cauchy‘ theorem and Chuchy‘s integral formula, Taylor and Laurent expansions.
Singularities, poles and residues.
7. Cauchy‘s residue theorem, Evaluation of definite integrals.