JALALUDDIN MONDAL

STATE AIDED COLLEGE TEACHER

DEPARTMENT OF MATHEMATICS

NAGAR COLLEGE

TEACHING AREA

SEMESTER -l

MATH-H-CC-T-01

Unit -ll , Calculus.Reduction formulae.Derivatives and lllustrations reduction formulae. .parametric equations .parametrizing acurve..Arc lengthof a curve.Arc length of a parametric curve. .Area under a curve. .Area and volume of surface aad of revolution..Technique of sketching conc.

SEMESTER-III

MATH-H-CC-T-05

UNIT- 2

* DifferDifferentiability of a function at a point and in an interval.

*Caratheodory's theorem.

*Algebra of differentiable functions.

*Relative extrema ,interior extremum theorem.

*Rolle's theorem.

*Mean value theorem.

*Intermediate value property of derivatives.

*Darboux's theorem.

*Application of mean value theorem to inequalities and approximation of ppolynomial.