Numerical Methods

  • College Of Computing & Information Technology |

Description

This course provides an introduction to numerical methods and their applications to solve science and engineering problems. In addition, convergence and error analysis of numerical methods is covered. In addition, practical experience with implementing numerical methods and assessing resulting errors will be acquired through a number of programming assignments.

Program

Software Engineering bachelor`s degree Program

Objectives

  • - Understand numerical methods and errors of computers.
    - Analyze errors and error propagation.
    - Compute roots of equations of one variable
    - Solve a system of Linear equations.
    - Apply numerical differentiation.
    - Apply numerical integration.
    - Use interpolation.
    - Use regression.

Textbook

C. Chapra , Numerical Methods for Engineers with Software and Programming Applications, McGraw Hill.

Course Content

content serial Description
1Introduction
2Error Analysis
3Solution of Equations in One Variable (Bisection Method) part 1
4Solution of Equations in One Variable (Bisection Method) part 2
5Solution of Equations in One Variable (Secant and Modified Secant Methods) part 1
6Solution of Equations in One Variable (Secant and Modified Secant Methods) part 2
7Solution of Equations in One Variable (Newton Raphson and Fixed Point Methods) part 1
8Solution of Equations in One Variable (Newton Raphson and Fixed Point Methods) part 2
9Numerical Integration part 1
10Numerical Integration part 2
11Numerical Interpolation part 1
12Numerical Interpolation part 2
13Direct Methods for Solving Linear Systems part 1
14Direct Methods for Solving Linear Systems part 2
15In-Direct Methods for Solving Linear Systems
1Introduction
2Error Analysis
3Solution of Equations in One Variable (Bisection Method) part 1
4Solution of Equations in One Variable (Bisection Method) part 2
5Solution of Equations in One Variable (Secant and Modified Secant Methods) part 1
6Solution of Equations in One Variable (Secant and Modified Secant Methods) part 2
7Solution of Equations in One Variable (Newton Raphson and Fixed Point Methods) part 1
8Solution of Equations in One Variable (Newton Raphson and Fixed Point Methods) part 2
9Numerical Integration part 1
10Numerical Integration part 2
11Numerical Interpolation part 1
12Numerical Interpolation part 2
13Direct Methods for Solving Linear Systems part 1
14Direct Methods for Solving Linear Systems part 2
15In-Direct Methods for Solving Linear Systems

Markets and Career

  • Generation, transmission, distribution and utilization of electrical power for public and private sectors to secure both continuous and emergency demands.
  • Electrical power feeding for civil and military marine and aviation utilities.
  • Electrical works in construction engineering.

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