Engineering Mathematics-III detailed syllabus scheme for B.Tech Electronics Engineering (EL), 2018-19 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 2018-19, do visit EL 3rd Sem 2018-19 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 2018-19 DBATU
Prerequisites:
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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, Laplace transform and applications to Communication systems and Signal processing.
- Vector differentiation and integration required in Electromagnetics 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, students will be able to:
- Solve higher order linear differential equation using appropriate techniques for modeling and analyzing electrical circuits.
- Solve problems related to Fourier transform, Laplace transform and applications to Communication systems and Signal processing.
- 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.
- Perform vector differentiation and integration, analyze the vector fields and apply to Electromagnetic fields.
- Analyze conformal mappings, transformations and perform contour integration of complex functions in the study of electrostatics and signal processing.
UNIT – 1 Laplace Transform 07 Hours
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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
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 07 Hours
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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
Cauchys integral theorem; Cauchys integral formula; Residues; Cauchys residue theorem (All theorems without proofs).
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 Vidyarthi Griha Prakashan, Pune.
- Higher Engineering Mathematics by H. K. Das and Er. Rajnish Verma, S. Chand & CO. Pvt. Ltd., New Delhi.
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..
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 internal 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 Electronics Engineering (EL) 3rd Sem 2018-19 regulation, visit EL 3rd Sem Subjects syllabus for 2018-19 regulation.