# PSC Chhattisgarh Prelims - Mathematics Syllabus

Updated on: Apr 2, 2013

The syllabus of Mathematics of PSC Chhattisgarh Prelim Exam is given in this section.

**: Natural numbers, Integers, Rationals, Reals Complex numbers, Division algorithm, H.C.F. & L.C.M. of ploynomial, Relations between co -efficients & roots of polynomials.**

i) Algebrai) Algebra

**(ii) Matrices**: Definition, Addition, Multiplication, Elementary Operations, Determinants.**(iii) Calculus**: Limits and continuity of functions. properties of continuous functions, Differentiation of functions, Mean-Value theorem, Maxima and minima. Tangents and Normals.Definition of integration as limit of a sum, Methods of integration, Substitution and integration by parts.**: Differential equations of first order and first degree , variables separable , Exact & homogeneous equations, Linear equation.**

(iv) Differential Equations(iv) Differential Equations

**(v) Analytical Geometry**: Equations of straight lines in cartesian and polar co-ordinates, circle, parabola and Eilipse and their Tangents and Normals.**(vi) Mechanics**: Law of parallelogram of forces, Triangle of forces, Lami's theorem and its applications. Newton's laws of motion. Motion in a straight line, Motion under gravity.