EC01: Engineering Mathematics III Syllabus for EL 3rd Sem 2017 DBATU

Engineering Mathematics III detailed syllabus scheme for B.Tech Electronics Engineering (EL), 2017 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 Electronics Engineering 3rd Sem 2017, do visit EL 3rd Sem 2017 Onwards Scheme. The detailed syllabus scheme for engineering mathematics iii is as follows.

Engineering Mathematics III Syllabus for Electronics Engineering (EL) 2nd Year 3rd Sem 2017 DBATU

Pre-requisite:

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Course Objectives:

After completion of the course, students will have adequate background, conceptual clarity and knowledge of appropriate solution techniques related to:

• Linear differential equations of higher order using analytical methods and numerical methods applicable to Control systems and Network analysis.
• Transforms such as Fourier transform Z-transform and applications to Communication systems and Signal processing.
• Vector differentiation and integration required in Electro-Magnetics and Wave theory.
• Complex functions, conformal mappings, contour integration applicable to Electrostatics, Digital filters, Signal and Image processing.

Course Outcomes:

On completion of the course, student will be able to:

1. Solve higher order linear differential equation using appropriate techniques for modeling and analyzing electrical circuits.
2. Solve problems related to Fourier transform, Z-transform and applications to Communication systems and Signal processing.
3. Obtain Interpolating polynomials, numerically differentiate and integrate functions, numerical solutions of differential equations using single step and multi-step iterative methods used in modern scientific computing.
4. Perform vector differentiation and integration, analyze the vector fields and apply to Electro-Magnetic fields.
5. Analyze conformal mappings, transformations and perform contour integration of complex functions in the study of electrostatics and signal processing.

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
Definition – 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 – Cauchy’s theorem, integral formula; Residue theorem.

Reference/Text Book:

1. Higher Engineering Mathematics by B. S. Grewal, Khanna Publishers, New Delhi.
2. A Text Book of Applied Mathematics (Vol I and II) by P. N. Wartikar and J. N. Wartikar, Pune Vidyarthi Griha Prakashan, Pune.
3. A Text Book of Engineering Mathematics by N. P. Bali and N. Ch. Narayana Iyengar, Laxmi Publications (P) Ltd. , New Delhi.
4. A course in Engineering Mathematics (Vol II and III) by Dr. B. B. Singh, Synergy Knowledge ware, Mumbai.
5. Higher Engineering Mathematics by B. V. Ramana, Tata McGraw-Hill Publications, New Delhi.
6. Advanced Engineering Mathematics by Erwin Kreyszig, John Wiley and Sons, New York.
7. A Text Book of Engineering Mathematics by Peter O Neil, Thomson Asia Pte Ltd., Singapore.
8. Advanced Engineering Mathematics by C. R. Wylie and L. C. Barrett, Tata Mc graw-Hill Publishing Company Ltd., New Delhi.

For detail syllabus of all other subjects of Electronics Engineering (EL) 3rd Sem 2017 regulation, visit EL 3rd Sem Subjects syllabus for 2017 regulation.