# MPPSC Main Mathematics Syllabus

Updated on: Mar 22, 2013

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

**(ii) Matrices :**Definition, Addition, Multiplication, Elementary Operations, Determinants.

**(iii) Calculus :**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.

**(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.