Centurion University of Technology and Management is a multi-sector, private state university established in. It has been accredited by NAAC with 'A' Grade and offers under-graduate, post-graduate and doctoral courses in the fields of engineering & technology, management and applied sciences.


The course structure of B. Tech Automotive Engineering (With Automotive product design specialization) offered by School of Engineering and Technology of Centurion University of Technology and Management is as follows:

1st Semester Multivariable Calculus & Partial Differential Equations

Module 1 Multivariable Calculus & Multiple Integrals
Functions of two variables-limits and continuity-partial derivatives –total differential–Taylor’s expansion for two variables–maxima and minima–constrained maxima and minima-Lagrange’s multiplier method- Jacobians Evaluation of double integrals–change of order of integration– change of variables between cartesian and polar co-ordinates- evaluation of triple integrals-change of variables between cartesian and cylindrical and spherical polar co-ordinates-beta and gamma functions– interrelation-evaluation of multiple integrals using gamma and beta functions-error function properties


Module 2 Vector Calculus & Ordinary Differential Equations
Scalar and vector valued functions - gradient–physical interpretation-total derivative– directional derivative-divergence and curl –physical interpretations-vector identities(without proof) - scalar and vector potentials-line, surface and volume integrals-Green’s , Stoke’s and Gauss divergence theorems (without proof)-verification and evaluation of vector integrals using Them ,Linear higher order ordinary differential equation with constant coefficients– solutions of homogenous and non homogenous odes- method of undetermined coefficients –method of variation of parameters – equations reducible to linear equations with constant coefficients


Module 3 Laplace Transforms
Definition-Laplace transforms of functions-properties of Laplace transforms-initial and final values theorems-inverse transforms-transforms of periodic functions-convolution theorems– step functions, impulse functions-concept of transfer functions –applications to the solution of differential equations

Attached Files

B. Tech Automotive Engineering Syllabus Centurion University of Technology and Management.pdf (1.18 MB, 64 views)