Engineering Mathematics -III detailed syllabus scheme for B.Tech Information Technology (IT), 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 Information Technology 3rd Sem 2017, do visit IT 3rd Sem 2017 Onwards Scheme. The detailed syllabus scheme for engineering mathematics -iii is as follows.
Engineering Mathematics -III Syllabus for Information Technology (IT) 2nd Year 3rd Sem 2017 DBATU
Course Objectives:
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Course Outcomes:
After learning the course the students should be able:
- Develop an ability to use characteristics of complex numbers in problem pertaining to electric circuits
- To develop an acquaintance with the method of finding solution of differential equations
- To develop an in depth knowledge of vector differentiation and vector integration
- To develop Fourier series expansion of different periodic functions
Unit I
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, Error function, unit step function .
Unit II
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Unit III
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 IV
Series Solutions of Differential Equations and Special Functions: Validity of series solution, Series solutions about ordinary and singular point, Frobenius method, Series solution of Bessel equation, Recurrence relations for Bessel function, Generating function for Bessel function, Orthogonality of Bessel function.
Unit V
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Unit VI
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.
- N. P. Bali, N. Ch. Narayana Iyengar, A Text Book of Engineering Mathematics, Laxmi Publications (P) Ltd., New Delhi.
- Dr. B. B. Singh, A course in Engineering Mathematics (Vol II and III), Synergy Knowledgeware, Mumbai.
Reference Book:
- B. V. Ramana, Higher Engineering Mathematics, Tata McGraw-Hill Publications, New Delhi.
- Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley and Sons, New York.
- Peter O Neil, A Text Book of Engineering Mathematics, Thomson Asia Pvt. Ltd., Singapore.
- C. R. Wylie, L. C. Barrett, Advanced Engineering Mathematics, Tata McGraw-Hill Publishing Company Ltd., New Delhi.
For detail syllabus of all other subjects of Information Technology (IT) 3rd Sem 2017 regulation, visit IT 3rd Sem Subjects syllabus for 2017 regulation.