Numerical Methods detailed syllabus scheme for B.Tech Electronics & Telecommunication Engineering (ET), 2017 onwards has been taken from the DBATU official website and presented for the Bachelor of Technology students. For Subject Code, Course Title, Lecutres, Tutorials, Practice, Credits, and other information, do visit full semester subjects post given below.
For all other DBATU Syllabus for Electronics & Telecommunication Engineering 4th Sem 2017, do visit ET 4th Sem 2017 Onwards Scheme. The detailed syllabus scheme for numerical methods is as follows.
Numerical Methods Syllabus for Electronics & Telecommunication Engineering (ET) 2nd Year 4th Sem 2017 DBATU
Course Objectives:
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Course Outcomes:
- Learner will be able to solve algebraic and transcendental equations by using numerical techniques and will be able to compare different numerical techniques used for this purpose and also will be able to choose a proper one as per the requirement of the problem.
- Learner will be able to solve a system of linear equations with any number of variables using different direct and iterative numerical techniques.
- Students will understand the concept of interpolation, finite difference operators and their relations, and can apply different interpolation techniques on equi-spaced or non equi-spaced data values.
- With the basic knowledge of the NMCP course, students can prepare themselves to write computer programs for the numerical computational techniques.
- Students will understand application of the NMCP course in many engineering core subjects like signal processing, digital communication, numerical techniques in electromagnetics etc.
- Students will understand procedure-oriented and object oriented programming concepts.
- He/she will be capable of writing C and C++ programs efficiently.
Unit 1
Introduction to Computational Methods and Errors
Computational Methods: General principles of computational techniques, Introduction, common ideas and concepts of computational methods, various computational techniques. Errors: Types and sources of errors, Concept in error estimation, Error propagation, Error due to floating point, Representation of errors, Elementary uses of series in calculation of errors.
Unit 2
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Unit 3
Interpolation and Polynomial Approximation
Least square approximation, Orthogonal polynomials Chebyshev polynomials, Finite difference operator and their relations, Forward, backward, central and divided difference, Newton’s forward divided difference, Backward difference interpolation, Sterling interpolation, Lagranges interpolation polynomials, Spline interpolation, Least square approximation.
Unit 4
Numerical Integration and Differentiation
Numerical Integration: Methods based on interpolation such as Trapezoidal rule, Simsons 1/3 and 3/8 rules. Numerical differentiation: Euler’s method, Modified Euler’s method, Taylor’s series, Runge Kutta 2ndand 4th order, Stability analysis of above methods.
Unit 5
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Unit 6
Operator Overloading and Type Conversions
Defining operator overloading, Overloading unary operators, Overloading binary operators, Manipulation of strings operators, Rules for overloading operators. Inheritance: Extending Classes: Defining derived classes, Single inheritance, multilevel inheritance, multiple inheritance, Hierarchical inheritance, Hybrid inheritance, Virtual base classes, Abstract classes, Member classes: Nesting of classes Pointers Virtual Functions and Polymorphism: Pointers to objects, Pointers to derived classes, Virtual functions, pure virtual functions Managing Console I/O Operations C++ Streams, C++ Stream Classes, Unformatted I/O Operations, Managing output with manipulators.
Reference/Text Book:
- S. S. Sastry, “Introductory Methods of Numerical Analysis”, PHI, 1990, 3rd edition.
- V. Rajaraman, “Computer Oriented Numerical Methods, PHI, New Delhi”, 2000, 3rd Edition.
- E. V. Krishnamurthy, and Sen S. K., “Numerical Algorithm: Computations in Science and Engg”, Affiliated East West, New Delhi, 1996.
- D. Ravichandran, “Programming with C++”, TMH
- E. Balagurusamy, “Object-Oriented Programming with C++”, TMH, New Delhi, 2001,2ndEdition
- Yeshwant Kanetkar, “Let us C++, BPB Pub.”, Delhi, 2002, 4thEdition.
- Stroupstrup Bjarne, “C++ Programming Language”, Addison Wesley, 1997, 3rd Edition.
- Horton, “Beginning C++: The Complete Language”, Shroff Pub., Navi Mumbai, 1998.
For detail syllabus of all other subjects of Electronics & Telecommunication Engineering (ET) 4th Sem 2017 regulation, visit ET 4th Sem Subjects syllabus for 2017 regulation.