10+2 level fundamentals for example, permutations and combinations Set theory - Operation on sets, ordered pairs, relations, functions, induction Algebra and Matrices - Fundamental operations in Algebra, Expansion, factorization, simultaneous linear / quadratic equations, indices, logarithms, arithmetic, geometric and harmonic progressions, binomial theorem, permutations and combinations, surds, determinants, matrices and application to solution of simultaneous linear equations. Co-ordinate Geometry: Rectangular Cartesian co-ordinates, equations of a line, mid point,intersections etc., equations of a circle, distance formulae, pair of straight lines, parabola,ellipse and hyperbola, simple geometric transformations such as translation, rotation, scaling Probability and statistics - Basic concepts of probability theory, Averages, Dependent and independent events, frequency distributions Calculus and analytic geometry - Calculus: Limit of functions, continuous functions, differentiation of functions(s),Tangents and normal, simple examples of maxima and minima, Integration of function by parts, by substitution and by partial fraction, definite integral application to volumes and surfaces of frustums of a sphere, cone, cylinder, Taylor Series Trigonometry - Simple identities, trigonometric equations, properties of triangles, solution of triangles, height and distance, inverse function |
