|VOCLET MATHEMATICS SYLLABUS|
Indices & Surd: Law of Indices, Simple application. Surd, quadratic surd, conjugate surd, properties of surd, square root of quadratic surd, simple problems, Complex Numbers- Definition, modulus, arguments, complex conjugate, square root of complex numbers, simple problems. quadratic Equation, Quadratic expressions, Analyzing the discriminate & nature of roots, relation between roots and co-efficient, conjugate roots, application.
Trigonometry ratios of associated angles compound angles multiple and sub-multiple angles(no deduction), Related problems, Solution of common trigonometric equations between 0 to 360 Degree (no deduction of formula)
Co-ordinate system, Cartesian & polar, Relation between Cartesian and polar, Distance between two points section Formula. Formula for Area of Triangle problems. Straight Line, Different forms of equations of straight line, angle between two straight lines, conditions of parallelism and perpendicularity of two straight lines, Distance of a point from a given straight line, problems
Area and perimeter of regular polygons of n sides, formula and problems. Area and premeter of a circle and an ellipse, applications Evaluation of Volume and surface area of a prism,pyramid and a cone, cylinder, trapezoid. Calculation of area of curvilinear figures by Simpson's One Third rule.
Function : Definition, Even and Odd, explicit and implien, periodic and parametric, Limit,Theorems on limits (statement only), standard limits, evaluation of limits, Definition of continuity of a function, testing of continuity, problems. Differentiation, Differentiation of parametric and implicit functions. Successive differentiation up to second order, problems.
Integration as the inverse process of differentiation, List of formula for integration, Method of substitution, integration by parts, evaluation of integrals by each of the above methods. Definite integral,rules and properties of definite integral (statement only), Evaluation of definite integrals.
Definition, order and degree of a differential equation, solution of differential equation of 1st order and 1st degree by the method of separation of variables.