Engineering Mathematics III detailed syllabus scheme for B.Tech Information Technology (IT), 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 Information Technology 3rd Sem 2018-19, do visit IT 3rd Sem 2018-19 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 2018-19 DBATU
Prerequisites:
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Course Objectives:
- To provide in depth knowledge of complex numbers
- To find the solution of differential equations
- To find an in-depth knowledge of Fourier series analysis of periodic function
Course Outcomes:
After learning the course the students should be able:
- To 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
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UNIT II
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 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; Parsevals identity for Fourier Transforms.
UNIT IV
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UNIT V
Functions of Complex Variables (Differential calculus) 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 VI
Functions of Complex Variables (Integral calculus) Cauchys integral theorem; Cauchys integral formula; Residues; Cauchys residue theorem (All theorems without proofs).
Text Books:
- B. S. Grewal, “Higher Engineering Mathematics, Khanna Publishers, New Delhi.
- H. K. Das, Er. RajnishVerma, “Higher Engineering Mathematics, S. Chand & CO. Pvt. Ltd., New Delhi.
- Dr. B. B. Singh, A course in Engineering Mathematics (Volume-III), Synergy Knowledge ware, Mumbai.
- B. V. Ramana, Higher Engineering Mathematics, Tata McGraw-Hill Publications, 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 Information Technology (IT) 3rd Sem 2018-19 regulation, visit IT 3rd Sem Subjects syllabus for 2018-19 regulation.