Engineering Mathematics-III detailed syllabus scheme for B.Tech Mechanical Engineering (ME), 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 Mechanical Engineering 3rd Sem 2019, do visit ME 3rd Sem 2019 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 2019 DBATU
Prerequisites:
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Unit 1: Laplace Transform[07 Hours]
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 t^n, 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: Inverse Laplace Transform[07 Hours]
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 [07 Hours]
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Unit 4: Partial Differential Equations and Their Applications [07 Hours]
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/dt = c^2d^2u/dx^2), and two dimensional heat flow equation (i.e. Laplace equation : d^2u/dx^2 + d^2u/dy^2 = 0).
Unit 5: Functions of Complex Variables (Differential calculus)[07 Hours]
Limit and continuity of f(‘z’); Derivative of f(‘z’) ; Analytic functions; Cauchy- Riemann equations in Cartesian and polar forms; Harmonic functions in Cartesian form;Mapping: Translation, magnification and rotation, inversion and reflection , bilinear transformation; Conformal mapping.
Unit 6: Functions of Complex Variables (Integral calculus)[07 Hours]
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Text Books:
- Higher Engineering Mathematics by B. S. Grewal, Khanna Publishers, New Delhi.
- Advanced Engineering Mathematics by Erwin Kreyszig, John Wiley & Sons, New York.
- A Course in Engineering Mathematics (Vol III) by Dr. B. B. Singh, Synergy Knowledge ware, Mumbai.
- A Text Book of Applied Mathematics (Vol I & II) by P. N. Wartikar and J. N. Wartikar, Pune VidyarthiGrihaPrakashan, Pune.
- Higher Engineering Mathematics by H. K. Das and Er. RajnishVerma, S. Chand & CO. Pvt. Ltd., New Delhi.
Reference Books:
- Higher Engineering Mathematics by B. V. Ramana, Tata McGraw-Hill Publications, New Delhi.
- A Text Book of Engineering Mathematics by Peter O Neil, Thomson Asia Pte Ltd., Singapore.
- Advanced Engineering Mathematics by C. R. Wylie & L. C. Barrett, Tata Mcgraw-Hill Publishing Company Ltd., New Delhi.
- Integral Transforms and Their Engineering Applications by Dr. B. B. Singh, Synergy. Knowledge ware, Mumbai.
- Integral Transforms by I. N. Sneddon, Tata McGraw-Hill, New York.
General Instructions:
- The tutorial classes in Engineering Mathematics-III are to be conducted batch-wise. Each class should be divided into three batches for the purpose.
- The Continuous Assessment of the students for 20 marks will be done based on assignments, surprise tests, quizzes, innovative approach to problem solving and percentage attendance.
- The minimum number of assignments should be eight covering all topics.
For detail syllabus of all other subjects of Mechanical Engineering (ME) 3rd Sem 2019 regulation, visit ME 3rd Sem Subjects syllabus for 2019 regulation.