Mathematics – III detailed syllabus scheme for B.Tech Civil Engineering (CV), 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 Civil Engineering 3rd Sem 2018-19, do visit CV 3rd Sem 2018-19 Onwards Scheme. The detailed syllabus scheme for mathematics – iii is as follows.
Mathematics – III Syllabus for Civil Engineering (CV) 2nd Year 3rd Sem 2018-19 DBATU
Module 1: Laplace T ransform (Lectures 08)
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Module 2: Inverse Laplace Transform (Lectures 08)
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 solutions of linear differential equations and simultaneous linear differential equations with constant coefficients.
Module 3: Fourier Transform (Lectures 05)
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.
Module 4: Partial Differential Equations and Their Applications (Lectures 05)
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Module 5: Functions of Complex Variables (Differential calculus)(Lectures 05)
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.
Module 6: Functions of Complex Variables (Integral calculus)(Lectures 07)
Cauchys integral theorem; Cauchys integral formula; Residues; Cauchys residue theorem (All theorems without proofs).
Text 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..
Reference Books:
- Peter O Neil, A Text Book of Engineering Mathematics Thomson Asia Pte Ltd., Singapore.
- Wylie C. R. & Barrett L. C., Advanced Engineering Mathematics, Tata Mcgraw-Hill Publishing Co. Ltd., N. Delhi.
- Dr. Singh B. B., Integral Transforms and their Engineering Applications, Synergy Knowledgeware, Mumbai.
- Sneddon I. N., Integral Transforms, Tata McGraw-Hill , New York.
Course Outcomes:
On completion of the course, student will be able to formulate and solve mathematical model of civil engineering phenomena in field of structures, survey, fluid mechanics and soil mechanics.
For detail syllabus of all other subjects of Civil Engineering (CV) 3rd Sem 2018-19 regulation, visit CV 3rd Sem Subjects syllabus for 2018-19 regulation.