Numerical Methods detailed Syllabus for Aeronautical Engineering (AERO), 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 AERO 6th Sem Syllabus for BE 2018 Scheme, visit Aeronautical Engineering 6th Sem 2018 Scheme.
For all the (Professional Elective-1) subjects refer to Professional Elective-1 Scheme. The detail syllabus for numerical methods is as follows.
Course Objectives:
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Module 1
Numerical Computation Motivation and Objectives/ Number Representation/ Machine Precision/ Round-of Error/ Truncation Error/ Random Number Generation. Linear Algebraic Systems: Motivation and Objectives/ Gauss-Jordan Elimination/Gaussian Elimination/LU Decomposition/ III- Conditioned Systems/ Iterative Methods.
Module 2
Interpolation and Approximation Lagrangian Polynomials-Divided differences Interpolating with a cubic spline-Newton’s forward and backward difference formulas. Eigen Values and Eigenvectors Motivation and Objectives/ The characteristics Polynominal/ Power Methods / Jacobi’s Method/ Householder Transformation/ QR Method/ Danilevsky’s Method/ Polynominal Roots.
Module 3
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Module 4
Curve Fitting Motivation and objectives/ Interpolation/ Newton’s Difference Formula/ Cubic Splines/ Least Square/ TwoDimensional Interpolation.
Module 5
Root Finding Motivation and Objectives/ Bracketing methods/ Contraction Mapping Method/ Secant Method/ Muller’s Method/ Newton’s Method/ Polynomial Roots/ Nonlinear Systems of Equations. Optimization Motivation and Objectives/ Local and Global Minima/ Line Searches/ Steepest Descent Method/ ConjugateGradient Method/ Quasi-Newton Methods/ Penalty Functions/ Simulated Annealing.
Course Outcomes:
For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
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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:
- Applied Numerical methods for Engineers Using Mat Lab and C Robert Schilling and Sandra Harris Thomson Learning 2002
- Applied Numerical Analysis Gerald and Wheatley Pearson Education 2002
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..
For the detail Syllabus of all other subjects of BE (AERO) 6th Sem, visit Aeronautical Engineering 6th Sem Subjects.
For all (CBSE & Non-CBSC) BE/B.Tech results, visit VTU BE/B.Tech all semester results.