Numerical Methods detail syllabus for Polymer Technology (Polymer Tech), 2017 regulation is taken from Anna University official website and presented for students of Anna University. The details of the course are: course code (MA8491), Category (BS), Contact Periods/week (4), Teaching hours/week (4), Practical Hours/week (0). The total course credits are given in combined syllabus.
For all other polymer tech 4th sem syllabus for b.tech 2017 regulation anna univ you can visit Polymer Tech 4th Sem syllabus for B.Tech 2017 regulation Anna Univ Subjects. 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 B.Tech Polymer Tech, 2017 regulation do visit Polymer Tech 4th Sem syllabus for 2017 Regulation.
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