Mathematics

(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.