Ordinary Differential Equations and Vector Calculus CSE Syllabus for B.Tech 1st Year 2nd Sem R22 Regulation JNTUH

Ordinary Differential Equations and Vector Calculus detailed syllabus for Computer Science and Engineering (CSE), 1st Year 2nd Sem R22 regulation has been taken from the JNTUH official website and presented for the B.Tech students affiliated to JNTUH course structure. For Course Code, Subject Names, Theory Lectures, Tutorial, Practical/Drawing, Credits, and other information do visit full semester subjects post given below. We make sure the result links and syllabus uploaded here is latest and up to date, also the syllabus PDF files can also be downloaded from the universities official website.

For Computer Science and Engineering (CSE) 1st Year 2nd Sem R22 Regulation Scheme, do visit CSE 1st Year 2nd Sem R22 Scheme. The detailed syllabus for ordinary differential equations and vector calculus is as follows.

Ordinary Differential Equations and Vector Calculus Subject Syllabus for CSE 1st Year 2nd Sem R22 Regulation

Pre-requisites:

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Course Objectives:

To learn

Methods of solving the differential equations of first and higher order.
Concept, properties of Laplace transforms
Solving ordinary differential equations using Laplace transforms techniques.
The physical quantities involved in engineering field related to vector valued functions
The basic properties of vector valued functions and their applications to line, surface and volume integrals

Course outcomes:

After learning the contents of this paper the student must be able to

Identify whether the given differential equation of first order is exact or not
Solve higher differential equation and apply the concept of differential equation to real world problems.
Use the Laplace transforms techniques for solving ODE’s.
Evaluate the line, surface and volume integrals and converting them from one to another

UNIT-I

UNIT-II

Ordinary Differential Equations of Higher Order 10 L
Second order linear differential equations with constant coefficients: Non-Homogeneous terms of the type e”‘ ,sin ax ,cos ax, polynomials in x, e’!iV(x) and x V(x), method of variation of parameters, Equations reducible to linear ODE with constant coefficients: Legendre’s equation, Cauchy-Euler equation. Applications: Electric Circuits

UNIT-III

Laplace transforms 10 L
Laplace Transforms: Laplace Transform of standard functions, First shifting theorem, Second shifting theorem, Unit step function, Dirac delta function, Laplace transforms of functions when they are multiplied and divided by ‘t’, Laplace transforms of derivatives and integrals of function, Evaluation of integrals by Laplace transforms, Laplace transform of periodic functions, Inverse Laplace transform by different methods, convolution theorem (without proof). Applications: solving Initial value problems by Laplace Transform method.

UNIT-IV

UNIT-V

Vector Integration 10 L
Line, Surface and Volume Integrals, Theorems of Green, Gauss and Stokes (without proofs) and their applications.

TEXT BOOKS:

B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers, 36th Edition, 2010
R.K. Jain and S.R.K. Iyengar, Advanced Engineering Mathematics, Narosa Publications, 5th Edition, 2016.

REFERENCE BOOKS:

For detailed syllabus of all the other subjects of B.Tech 1st Year Computer Science and Engineering (CSE), visit Computer Science and Engineering (CSE) 1st Year Syllabus Subjects.

For results of Computer Science and Engineering (CSE) 1st Year 2nd Sem R22 Regulation, visit CSE 1st Year 2nd Sem R22 Regulation results direct link.