This course introduces higher order derivatives, Leibnitz theorem, for higher
derivatives of the product of two functions. Series expansions of functions using
Maclaurin’s theorem and Taylor’s theorem are discussed. Some applications of
derivatives in finding maxima, minima, point of inflection etc are introduced. The
concept of partial derivatives and its properties are also introduced.
In integral calculus, certain reduction formulae are discussed. Application of integrals
in finding plane area, surface area, arc length, and volume of solids of Revolution are
introduced and double and triple integrals and some applications are also introduced.
- Teacher: Dhanalakshmi O M