# Madhya Pradesh Public Service Commission (MPSC) Prelim - Mathematics Syllabus

Updated on: Mar 22, 2013

Mathematics syllabus of Madhya Pradesh Public Service Commission (MPPSC)Prelim exam is given here.

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

(i) Algebra :(i) Algebra :

**(ii) Matrices :**Definition, Addition, Multiplication, Elementary Operations, Determinants.**Limit and continuity of functions, properties of continuous functions. Differentiation of functions. Mean-Value theorem. Maxima and minima, Tangents and Normal Definition of integration as limit of a sum. Methods of integration. Substitution and integration by parts.**

(iii) Calculus :(iii) Calculus :

**(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 Ellipse and their Tangents and Normals.**(vi) Mechanics :**Law of parallelogram of forces, - Triangle f forces, Lami's theorem and its applications; Newton's laws of motion, Motion in a straight line. Motion under gravity.