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# PSC Chhattisgarh Prelims - Mathematics Syllabus

Updated on: Apr 2, 2013
The syllabus of Mathematics of PSC Chhattisgarh Prelim Exam is given in this section.

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

(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.

(iv) Differential Equations
: Differential equations of first order and first degree , variables separable , Exact & homogeneous equations, Linear equation.

(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.