Computer Based Numerical Techniques detail syllabus for Civil (Civil), 2021-22 scheme is taken from AKTUs official website and presented for the AKTU B.Tech students. For the course code (KOE065), exam duration, teaching hr/week, practical hr/week, total marks, internal marks, theory marks, duration, credits, and other details do visit complete semester subjects post given below.
For the Civil 7th Sem Syllabus for AKTU B.Tech 2021-22 Scheme you can visit Civil 7th Sem 2021-22 Scheme. For the Open Elective-1 scheme of Civil 7th Sem 2021-22 regulation do refer to Open Elective-1 Civil 7th Sem scheme. The detail syllabus for computer based numerical techniques is as follows.
Course Objectives:
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Unit 1
Error and roots of Algrabraic and Transcendental Equations: Introduction of Numbers and their accuracy, Computer Arithmetic, Mathematical preliminaries, Errors and their Computation, General error formula, Error in a series approximation. Solution of Algebraic and Transcendental Equation: Bisection Method, Iteration method, Method of false position, Newton-Raphson method, Methods of finding real and complex roots, Muller’s method, Rate of convergence of Iterative methods, Polynomial Equations.
Unit 2
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Unit 3
Numerical Integration and Differentiation: Introduction: Numerical differentiation of Newton’s forward and backward formula, Stirling’s, Bessel’s, Everett’s formula, Lagrange’s Interpolation and Newton Divided difference formula. Numerical Integration: Newton cotes formula, Trapezoidal rule, Simpson’s 1.3 and 3.8 rules, Boole’s rule, Waddle’s rule.
Unit 4
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Unit 5
Boundary Value problems: Introduction, Finite difference method, solving Eigen value problems, polynomial method and power methods. Numerical solution of Partial Differential equations. Elliptic, Parabolic and hyperbolic PDEs. Distillation in a Plate Column, Unsteady-state Operation, Starting a Stirred-tank Reactor, Rate at which a Plate Absorber Approaches Steady State.
Note: PS: Practice session: Students should practice the Flow Charts and algorithm of some important programs
Text Books:
- Jain, Iyengar and Jain, ‘Numerical Methods for Scientific and Engineering Computations’, New Age International.
- Grewal B S, ‘Numerical methods in Engineering and Science’, Khanna Publishers, Delhi.
Reference Books:
- Rajaraman V, Computer Oriented Numerical Methods, Pearson Education
- T Veerarajan, T Ramachandran, ‘Theory and Problems in Numerical Methods, McGraw Hill
- Pradip Niyogi, Numerical Analysis and Algorithms, McGraw Hill.
- Francis Scheld, Numerical Analysis, McGraw Hill.
- Sastry S. S, Introductory Methods of Numerical Analysis, Pearson Education.
- Kiusalaas, J.: Numerical methods in engineering with MATLAB, Cambridge University Press
- Woodford, C and Phillips, C: Numerical methods with worked examples: MATLAB Edition, Springer
Course Outcomes:
At the end of this course, the students will be able to:
Course Outcomes:
- Understand the concept of errors to evaluate approximate roots of several types of equations
- Analyze the problem and evaluate data by different interpolation methods and creating interpolating graphs
- Understand the concept of interpolation to analyze and evaluate the numerical differentiation and integration
- Remember the concept of formula based the solution of ordinary differential equations to evaluate differential equations withy initial conditions
- Apply the concept of partial differential equation to evaluate the partial differential equations
For the syllabus of all the subjects of B.Tech Civil 7th Sem, 2021-22 scheme do visit Civil 7th Sem syllabus subjects.
For the complete syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.