Engineering Mathematics-III detailed syllabus scheme for B.Tech Mechanical Engineering (ME), 2017-18 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 Mechanical Engineering 3rd Sem 2017-18, do visit ME 3rd Sem 2017-18 Onwards Scheme. The detailed syllabus scheme for engineering mathematics-iii is as follows.
Engineering Mathematics-III Syllabus for Mechanical Engineering (ME) 2nd Year 3rd Sem 2017-18 DBATU
Pre-requisite:
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Course Outcomes:
At the end of the course, students will be able to:
- Comprehend the fundamental knowledge of the Laplace and inverse Laplace transforms and their derivatives for elementary functions
- Apply the properties of Laplace and inverse Laplace transforms to solve simultaneous linear and linear differential equations with constant coefficients
- Conceptualize the definitions and properties of Fourier transforms
- Solve boundary value problems using Fourier transforms
- Find the series solutions of the linear differential equations using Frobenius method
- Find the solutions of partial differential equations governing real-world problems
- Conceptualize limit, continuity, derivative and integration of complex functions
- Evaluate complex integrals useful in real-world problems
Course Contents:
Unit 1
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Unit 2
Inverse Laplace Transform
Introductory remarks; Inverse transforms of some elementary functions; General methods of finding inverse transforms; Partial fraction method and Convolution Theorem for finding inverse Laplace transforms. Applications to find the solutions of linear differential equations and simultaneous linear differential equations with constant coefficients.
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; Convolution theorem for Fourier Transforms; Application to boundary value problems.
Unit 4
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Unit 5
Partial Differential Equations and Their Applications
Formation of Partial differential equations; Solutions of Partial differential equations-direct integration, linear equations of first order (Lagranges linear equations), homogeneous linear equations with constant coefficients; Method of separation of variables-application to find solutions of wave equation, one dimensional heat equation and Laplace equation.
Unit 6
Calculus of Complex Functions
Limit and continuity of f(z), Derivative of f(z), Cauchy-Riemann equations, Analytic functions, Harmonic functions-orthogonal system, Conformal transformations, complex integration-Cauchys theorem, integral formula, Residue theorem.
Text Books:
- B. S. Grewal, Higher Engineering Mathematics, Khanna Publishers, New Delhi.
- P. N. Wartikar, J. N. Wartikar, A Text Book of Applied Mathematics, Vol. I and II, Pune Vidyarthi Griha Prakashan, Pune.
- Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley and Sons, New York.
- Dr. B. B. Singh, A course in Engineering Mathematics, Vol. III, Synergy Knowledgeware, Mumbai.
Reference Books:
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 Mechanical Engineering (ME) 3rd Sem 2017-18 regulation, visit ME 3rd Sem Subjects syllabus for 2017-18 regulation.