SYLLABUS BF1 : MATHEMATICS I 1 : LIMITS AND CONTINUITY OF A FUNCTION. 2 : DIFFERENTIATION.
Definition, Derivative by first principle, Differentiation of implicit functions, Differentiation of trigonometric functions, Differentiation of inverse trigonometric functions, Transformation, Differentiation of exponential and Logarithmic Functions, Hyperbolic functions, Derivatives of the inverse hyperbolic functions, Differentiation with respect to a function, Differentiation of Parametric Equations.
3 : SUCCESSIVE DIFFERENTIATION
Calculation of nth derivative, Leibnitz’s theorem.