Numerical Methods and Applications detail syllabus for various departments, 2017 scheme is taken from VTU official website and presented for VTU students. The course code (17CV663), 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 open elective-2 syllabus for vtu be 2017 scheme you can visit Open Elective-2 syllabus for VTU BE 2017 Scheme Subjects. The detail syllabus for numerical methods and applications is as follows.
Course Objectives:
This course aims at providing the necessary basic concepts of a few numerical methods and give procedures for solving numerically different kinds of problems occurring in engineering and technology
Module 1
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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
Numerical Differentiation and Integration: Approximation of derivatives using interpolation polynomials – Numerical integration using Trapezoidal, Simpson’s 1/3 rule – Romberg’s method – Two point and three point Gaussian quadrature formulae -Evaluation of double integrals by Trapezoidal and Simpson’s 1/3 rules.
Module 4
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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:
After studying this course, The students will have a clear perception of the power of numerical techniques, ideas and would be able to demonstrate the applications of these techniques to problems drawn from Industry, management and other engineering fields.
Program
Course Objectives:
Engineering knowledge Problem analysis Interpretation of data
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:
- Chapra. S.C., and Canale.R.P., “Numerical Methods for Engineers, Tata McGraw Hill, New Delhi
- Brian Bradie. “A friendly introduction to Numerical analysis”, Pearson Education, Asia, New Delhi
- Sankara Rao. K., “Numerical methods for Scientists and Engineers”, Prentice Hall of India Private, New Delhi
For detail syllabus of all other subjects of BE do syllabus for different schemes from menu given on top.
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