In this course, we shall study the following topics.

Elementary function of a single variable and their graphs, graph of simple function: polynomials rational, trigonometric etc. Rate of change, tangent and normal to the curve. Limits and continuity of functions, differentiation by first principle, derivative of sum, difference, product and quotient, trigonometric differentiation, logarithmic differentiation, exponential differentiation, implicit differentiation. Application of differentiation: Stationary values of simple function: maxima, minima, and point of inflexion, area of surface of revolution. Integration, by substitution, by parts, definite integral, volume or revolution, area of surface of revolution.