Numerical Methods and Applications detailed Syllabus for Civil Engineering (CIVIL), 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, visit full semester subjects post given below. The Syllabus PDF files can also be downloaded from the official website of the university.
For all the other VTU CIVIL 7th Sem Syllabus for BE 2018 Scheme, visit Civil Engineering 7th Sem 2018 Scheme.
For all the (Open Elective-B) subjects refer to Open Elective-B Scheme. The detail syllabus for numerical methods and applications is as follows.
Course Objectives:
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Module 1
Solution of Equations and Eigen value Problems: Solution of algebraic and transcendental equations, Fixed point iteration method, Newton Raphson method, Solution of linear system of equations, Gauss elimination method, Pivoting, Gauss Jordan method-Iterative methods of Gauss Jacobi and Gauss Seidel-Matrix Inversion by Gauss Jordan method.
Module 2
Interpolation and Approximation: Interpolation with unequal intervals-Lagrange’s interpolation-Newton’s divided difference interpolation-Cubic Splines-Interpolation with equal intervals-Newton’s forward and backward difference formulae.
Module 3
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Module 4
Initial Value Problems for Ordinary Differential Equations : Single Step methods-Taylor’s series method -Euler’s method-Modified Euler’s method-Fourth order Runge-Kutta method for solving first order equations-Multi step methods-Milne’s and Adams-Bash forth predictor corrector methods for solving first order equations.
Module 5
Boundary Value Problems in Ordinary and Partial Differential Equations: Finite difference methods for solving two-point linear boundary value problems-Finite difference techniques for the solution of two dimensional Laplace’s and Poisson’s equations on rectangular domain-One dimensional heat flow equation by explicit and implicit (Crank Nicholson) methods-One dimensional wave equation by explicit method.
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.
- Each full question will have sub- question covering all the topics under a module.
- The students will have to answer five full questions, selecting one full question from each module.
Text Books:
- Grewal. B.S. and Grewal. J.S., “Numerical methods in Engineering and Science”, Khanna Publishers, 9th Edition, New Delhi
- Gerald. C. F., and Wheatley. P. O., “Applied Numerical Analysis”, Pearson Education, Asia, 6th Edition, New Delhi.
Reference Books:
For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
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For the detail Syllabus of all other subjects of BE (CIVIL) 7th Sem, visit Civil Engineering 7th Sem Subjects.
For all (CBSE & Non-CBSC) BE/B.Tech results, visit VTU BE/B.Tech all semester results.