NIT Silchar Syllabus
Differential Calculus :
Successive differentiation, Leibnitz’s theorem & its application. Indeterminate
forms, L. Hospital’s Rules. Rolle’s Theorem, Lagrange’s Mean value theorem, Taylor’s
& Maclaurin’s theorems with Lagrange’s form of remainder for a function of one
variable. Curvature, radius & centre of curvature for Cartesian and polar curves..
Partial differentiation, change of variables, Euler’s theorem & Jacobian.
Integral Calculus :
Reduction Formulae. Asymptotes for Cartesian and polar curves. Curve tracing. Area
& length of plane curves. Volume & surface area of solids of revolution (for Cartesian
and polar curves).
Differential Equation :
Solution of ordinary differential equations of first order & of first degree:
Homogeneous equation, Exact differential equation, Integrating factors, Leibnitz’s
linear equation, Bernoulli’s equation.
Differential equation of first order but of higher degree, Clairaut’s equation.
Differential equations of second & higher order with constant coefficients.
Homogeneous Linear equations.
1. Differential Calculus Das & Mukherjee U.N. Dhur & Sons Pvt. Ltd.
2. Integral Calculus Das & Mukherjee U.N. Dhur & Sons Pvt. Ltd.
3. Elementary Engineering Mathematics B.S. Grewal Khanna Publisher
4. Engineering Mathematics-II Santi Narayan S. Chand & Co