Numerical Methods detail syllabus for Aeronautical Engineering (Aero), 2017 scheme is taken from VTU official website and presented for VTU students. The course code (17AE753), and for exam duration, Teaching Hr/week, Practical Hr/week, Total Marks, internal marks, theory marks, duration and credits do visit complete sem subjects post given below.
For all other aero 7th sem syllabus for be 2017 scheme vtu you can visit Aero 7th Sem syllabus for BE 2017 Scheme VTU Subjects. For all other Professional Elective-4 subjects do refer to Professional Elective-4. The detail syllabus for numerical methods is as follows.
Course Objectives:
This course will enable students to
- Comprehend the basic concepts of numerical methods.
- Acquire the knowledge of interpolation and approximation.
- Understand about the curve fitting, root finding and optimization.
Module 1
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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
Numerical Differentiation and Integration Derivative from difference tables – Divided differences and finite differences – Numerical integration by trapezoidal and Simpson’s 1/3 and 3/8 rules – Two and Three point Gaussian quadrature formulas -Double integrals using trapezoidal and Simpson’s rules.
Module 4
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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/ Conjugate-Gradient Method/ Quasi-Newton Methods/ Penalty Functions/ Simulated Annealing.
Course Outcomes:
After studying this course, students will be able to:
- Apply the basic concepts of numerical methods.
- Compute the Eigen values, Eigen vectors, numerical differentiation and integration.
- Perform the curve fitting and root finding.
Graduate Attributes (as per NBA):
- Engineering Knowledge.
- Problem Analysis.
- Design / development of solutions
- Interpretation of data
Question paper pattern:
- The question paper will have ten questions.
- Each full question consists of 16 marks.
- There will be 2full questions (with a maximum of four sub questions) from each module.
- Each full question will have sub questions covering all the topics under a module.
- The students will have to answer 5 full questions, selecting one full question from each module.
Text Books:
- Robert Schilling and Sandra Harris, Applied Numerical methods for Engineers Using Mat Lab and C- Thomson Learning, 2002.
- Gerald and Wheatley, Applied Numerical Analysis -Pearson Education, 2002.
Reference Books:
- Mahinder Kumar Jain, Numerical Methods: For Scientific and Engineering Computation, New Age Publishers, 2012.
- Rajesh Srivastava and Saumyen Guha, Numerical Methods for Engineering and Science, Oxford University Press, 2010.
- P. Kandasamy, K. Thilagavathy and K. Gunavathi, Numerical Methods, S. Chand Publishers, 2006.
For detail syllabus of all other subjects of BE Aero, 2017 regulation do visit Aero 7th Sem syllabus for 2017 Regulation.
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