BTBSC301: Engineering Mathematics-III Syllabus for AE 3rd Sem 2019 DBATU

Engineering Mathematics-III detailed syllabus scheme for B.Tech Automobile Engineering (AE), 2019 onwards has been taken from the DBATU official website and presented for the Bachelor of Technology students. For Subject Code, Course Title, Lecutres, Tutorials, Practice, Credits, and other information, do visit full semester subjects post given below.

For all other DBATU Syllabus for Automobile Engineering 3rd Sem 2019, do visit AE 3rd Sem 2019 Onwards Scheme. The detailed syllabus scheme for engineering mathematics-iii is as follows.

Engineering Mathematics-III Syllabus for Automobile Engineering (AE) 2nd Year 3rd Sem 2019 DBATU

Pre-requisite:

For the complete syllabus, results, class timetable, and many other features kindly download the iStudy App
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Course Outcomes:

At the end of the course, students will be able to:

Unit 1

Laplace Transform
Definition – conditions for existence ; Transforms of elementary functions ; Properties of Laplace transforms – Linearity property, first shifting property, second shifting property, transforms of functions multiplied by tn, scale change property, transforms of functions divided by t, transforms of integral of functions, transforms of derivatives ; Evaluation of integrals by using Laplace transform ; Transforms of some special functions- periodic function, Heaviside-unit step function, Dirac delta function.

Unit 2

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Unit 3

Fourier Transform
Definitions – integral transforms ; Fourier integral theorem (without proof) ; Fourier sine and cosine integrals ; Complex form of Fourier integrals ; Fourier sine and cosine transforms ; Properties of Fourier transforms ; Parsevals identity for Fourier Transforms.

Unit 4

Partial Differential Equations and Their Applications
Formation of Partial differential equations by eliminating arbitrary constants and functions; Equations solvable by direct integration; Linear equations of first order (Lagranges linear equations); Method of separation of variables – applications to find solutions of one dimensional heat flow equation (du _7d2u\ , , . p, .. d2u , d2u = c2 ), and two dimensional heat flow equation (i.e. Laplace equation : + = 0)

Unit 5

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Unit 6

Functions of Complex Variables (Integral calculus)
Cauchys integral theorem; Cauchys integral formula; Residues; Cauchys residue theorem (All theorems without proofs)

Text Books:

1. Higher Engineering Mathematics by B. S. Grewal, Khanna Publishers, New Delhi.
2. Advanced Engineering Mathematics by Erwin Kreyszig, John Wiley and Sons, New York.
3. A Course in Engineering Mathematics (Vol III) by Dr. B. B. Singh, Synergy Knowledge ware, Mumbai.
4. A Text Book of Applied Mathematics (Vol I and II) by P. N. Wartikar and J. N. Wartikar, Pune VidyarthiGrihaPrakashan, Pune.
5. Higher Engineering Mathematics by H. K. Das and Er. RajnishVerma, S. Chand and CO. Pvt. Ltd., New Delhi.

Reference Book:

1. Higher Engineering Mathematics by B. V. Ramana, Tata McGraw-Hill Publications, New Delhi.
2. A Text Book of Engineering Mathematics by Peter O Neil, Thomson Asia Pte Ltd., Singapore.
3. Advanced Engineering Mathematics by C. R. Wylie and L. C. Barrett, Tata Mcgraw-Hill Publishing Company Ltd., New Delhi.
4. Integral Transforms and Their Engineering Applications by Dr. B. B. Singh, Synergy. Knowledge ware, Mumbai.
5. Integral Transforms by I. N. Sneddon, Tata McGraw-Hill, New York.

General Instructions:

For the complete syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdf platform to make students’s lives easier.
.

For detail syllabus of all other subjects of Automobile Engineering (AE) 3rd Sem 2019 regulation, visit AE 3rd Sem Subjects syllabus for 2019 regulation.