Numerical Methods

  • Software Engineering |
  • English

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 144 CRs

Objectives

  • 1. Understand numerical methods and errors of computers.
    2. Analyze errors and error propagation.
    3. Compute roots of equations of one variable
    4. Solve a system of Linear equations.
    5. Apply numerical differentiation.
    6. Apply numerical integration,
    7. Use interpolation.
    8. Use regression.

Textbook

Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers with Software and Programming Applications, McGraw Hill

Course Content

content serial Description
1Error Analysis: Absolute and relative errors Chopping and round off errors. Truncation Errors Errors in Floating point representations
2Error Analysis: Propagation of Errors
3Solutions of Equations in One Variable Bisection Method Secant Method
4Solutions of Equations in One Variable Modified Secant Newton Raphson
5Solutions of Equations in One Variable Fixed-Point Iteration
6Assignments Discussions
77th Week Examination
8Numerical Differentiation
9Numerical Integration Elements of Numerical Integration
10Composite Numerical Integration
11Numerical Interpolation Lagrange Interpolating Polynomials Newton’s Divided-Difference
1212th Week Examination
13Direct Methods for Solving Linear Systems Gauss Elimination Method Gauss Jordan Method
14In-Direct Methods for Solving Linear Systems Jacobi Method Gauss Seidel Method
15Numerical Regression
16Final Examination

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.
Courses
  • Degree Bachelor
  • Code: CS301
  • Credit hrs: 3
  • Prequisites: BA304-CS143
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