Numerical Methods Mech & Auto 6th Sem Syllabus for BE 2017 Regulation Anna Univ (Professional Elective I) detail syllabus for Mech & Auto (Mech & Auto), 2017 regulation is collected from the Anna Univ official website and presented for students of Anna University. The details of the course are: course code (MA8491), Category (PE), Contact Periods/week (4), Teaching hours/week (4), Practical Hours/week (0). The total course credits are given in combined syllabus.
For all other mech & auto 6th sem syllabus for be 2017 regulation anna univ you can visit Mech & Auto 6th Sem syllabus for BE 2017 regulation Anna Univ Subjects. For all other Professional Elective I subjects do refer to Professional Elective I. The detail syllabus for numerical methods is as follows.
Course Objective:
- To introduce the basic concepts of solving algebraic and transcendental equations.
- To introduce the numerical techniques of interpolation in various intervals in real life situations.
- To acquaint the student with understanding of numerical techniques of differentiation and integration which plays an important role in engineering and technology disciplines.
- To acquaint the knowledge of various techniques and methods of solving ordinary differential equations.
- To understand the knowledge of various techniques and methods of solving various types of partial differential equations.
Unit I
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Unit II
Interpolation and Approximation
Interpolation with unequal intervals – Lagranges interpolation – Newtons divided difference interpolation – Cubic Splines – Difference operators and relations – Interpolation with equal intervals – Newtons forward and backward difference formulae.
Unit III
Numerical Differentiation and Integration
Approximation of derivatives using interpolation polynomials – Numerical integration using Trapezoidal, Simpsons 1/3 rule – Rombergs Method – Two point and three point Gaussian quadrature formulae – Evaluation of double integrals by Trapezoidal and Simpsons 1/3 rules.
Unit IV
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Unit V
Boundary Value Problems in Ordinary and Partial Differential Equations
Finite difference methods for solving second order two – point linear boundary value problems -Finite difference techniques for the solution of two dimensional Laplaces and Poissons equations on rectangular domain – One dimensional heat flow equation by explicit and implicit (Crank Nicholson) methods – One dimensional wave equation by explicit method.
Course Outcome:
Upon successful completion of the course, students should be able to:
- Understand the basic concepts and techniques of solving algebraic and transcendental equations.
- Appreciate the numerical techniques of interpolation and error approximations in various intervals in real life situations.
- Apply the numerical techniques of differentiation and integration for engineering problems.
- Understand the knowledge of various techniques and methods for solving first and second order ordinary differential equations.
- Solve the partial and ordinary differential equations with initial and boundary conditions by using certain techniques with engineering applications.
Text Books:
- Burden, R.L and Faires, J.D, “Numerical Analysis”, 9th Edition, Cengage Learning, 2016.
- Grewal, B.S., and Grewal, J.S., “Numerical Methods in Engineering and Science”, Khanna Publishers, 10th Edition, New Delhi, 2015.
References:
- Brian Bradie, “A Friendly Introduction to Numerical Analysis”, Pearson Education, Asia, New Delhi, 2007.
- Gerald. C. F. and Wheatley. P. O., “Applied Numerical Analysis”, Pearson Education, Asia, 6th Edition, New Delhi, 2006.
- Mathews, J.H. “Numerical Methods for Mathematics, Science and Engineering”, 2nd Edition, Prentice Hall, 1992.
- Sankara Rao. K., “Numerical Methods for Scientists and Engineers”, Prentice Hall of India Pvt. Ltd, 3rd Edition, New Delhi, 2007.
- Sastry, S.S, “Introductory Methods of Numerical Analysis”, PHI Learning Pvt. Ltd, 5th Edition, 2015
For detail syllabus of all other subjects of BE Mech & Auto, 2017 regulation do visit Mech & Auto 6th Sem syllabus for 2017 Regulation.
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