Limit, Continuity and Differentiability Functions of one variable, Limit and Continuity of a function, Properties of continuous functions, Classification of Discontinuities, Differentiability of a function, Rolle’s Theorem, Mean value theorems and their geometrical interpretations, Applications of mean value theorems. Successive Differentiation, n th Differential coefficient of functions, Leibnitz Theorem; Taylor’s Theorem, Maclaurin’s Theorem, Taylor’s and Maclaurin’s series expansions, Indeterminate forms.
