Transform Calculus, Fourier Series And detailed Syllabus for Mining Engineering (Mining), 2018 scheme has been taken from the VTUs official website and presented for the VTU students. For Course Code, Subject Names, Teaching Department, Paper Setting Board, Theory Lectures, Tutorial, Practical/Drawing, Duration in Hours, CIE Marks, Total Marks, Credits and other information do visit full semester subjects post given below. The Syllabus PDF files can also be downloaded from the official website of the university.
For all other VTU Mining 3rd Sem Syllabus for BE 2018 Scheme, do visit VTU Mining 3rd Sem Syllabus for BE 2018 Scheme Subjects. The detailed Syllabus for transform calculus, fourier series and is as follows.
Course Learning Objectives:
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Module-1
Laplace Transforms: Definition and Laplace transform of elementary functions. Laplace transforms of Periodic functions and unit-step function – problems. Inverse Laplace Transforms: Inverse Laplace transform – problems, Convolution theorem to find the inverse Laplace transform (without proof) and problems, solution of linear differential equations using Laplace transform.
Module-2
Fourier Series: Periodic functions, Dirichlet’s condition. Fourier series of periodic functions period 2n and arbitrary period. Half range Fourier series. Practical harmonic analysis, examples from engineering field.
Module-3
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Module-4
Numerical Solutions of Ordinary Differential Equations (ODE’s): Numerical solution of ODE’s of first order and first degree- Taylor’s series method, Modified Euler’s method. Range – Kutta method of fourth order, Milne’s and Adam-Bashforth predictor and corrector method (No derivations of formulae), Problems.
Module-5
Numerical Solution of Second Order ODE’s: Runge -Kutta method and Milne’s predictor and corrector method.(No derivations of formulae). Calculus of Variations: Variation of function and functional, variational problems, Euler’s equation, Geodesics, hanging chain, problems.
Course Outcomes:
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Question paper pattern:
- The question paper will have ten full questions carrying equal marks.
- Each full question will be for 20 marks.
- There will be two full questions (with a maximum of four sub- questions) from each module.
Textbooks:
- Advanced Engineering Mathematics E. Kreyszig John Wiley & Sons 10th Edition, 2016
- Higher Engineering Mathematics B. S. Grewal Khanna Publishers 44th Edition, 2017
- Engineering Mathematics Srimanta Pal et al Oxford University Press 3rd Edition, 2016
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 pdfs platform to make students’s lives easier..
Web links and Video Lectures:
- http://nptel.ac.in/courses.php?disciplineID=111
- http://www.class-central.com/subject/math(MOOCs)
- http://academicearth.org/
- VTU EDUSAT PROGRAMME – 20
For detail Syllabus of all other subjects of BE 3rd Sem Mining Engineering, visit (Mining) 3rd Sem Syllabus Subjects.
For all (CBSE & Non-CBSC) BE results, visit VTU BE all semester results direct links.