# NIT Silchar Syllabus B Tech 1st Year Mathematics

**NIT Silchar Syllabus **

**Mathematics**

**MATHEMATICS – **

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.

Reference Books:

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

## Recent Comments