1.1- Function: Definitions of variables, constants, open & closed intervals.
1.2- Definitions & types of functions-simple examples.
1.3- Concept & definition of Limit.
1.4- Standard limits of algebraic, trigonometric, exponential & logarithmic
functions- simple problems. Examine the Continuity of a function at any point
(simple problem only).
1.5 Examine the continuity of a function at any point(Simple Problam Only)
1.6-Differentiation by (first principal) or by definition of differention xn, sin x, cos
x, tan x, ex, log x only . a
1.7-Differentiation of sum, product and quotient of functions. Differentiation of
function of a function.
1.8-Differentiation of trigonometric inverse functions. Logarithmic differentiation.
Exponential differentiation, Successive differentiation (up to third term only).
1.9-Application (a) Maxima and minima (b) Equation of tangent and normal to a
curve (for explicit functions only) (c) L’ Hospital rule for solving in in
determinate form ( 0/0, )