Math423

Course Description form

Faculties and departments requiring this course (if any): Faculty of

     Science/Department of Mathematics.

Objectives:  Prefer In points

 Numerical Analysis is a powerful tool in applied Mathematics. In this course the

 students will learn how

1)    How to solve linear system of equations

2)    How to use least squares method for fitting discrete data, and  approximate continuous functions

     3) How to solve the initial value problems

     4) How to calculate the Eigenvalues and eigenvectors.

Contents: Prefer In points

1-   Numerical solution of linear systems

2-   Approximation theory and orthogonal polynomials

3-   Numerical solution of Initial value problems

4-   Eigenvalues problem

Course Outcomes:

A-   Knowledge:

    (Specific facts and knowledge of concepts, theories, formula etc.)

     Students will know how to solve linear systems, how to fit given data, how to approximate functions. How to solve the initial value problems,  and how to approximate the Eigenvalue and eigenvectors.

B-Cognitive Skills:

   (Thinking, problem solving)

   Concentration , Perception, applications and evaluation.

C- Interpersonal skills and responsibilities:

    (group participation, leadership, personal responsibility ,  ethic and moral behavior, capacity for  self directed learning)

     Interpersonal skills are all the behaviours and feelings that exist within all of us that influence our interactions with others. Whether we are shy or bold, quiet or passive, domineering or cooperative are all different examples of characteristics of interpersonal skills. Healthy interpersonal skills reduce stress, reduce conflict, improve communication, enhance intimacy, increase understanding, and promote joy.

D- Analysis and communication:

    (communication, mathematical and IT skills)

    Communication skills are the most important when we talk about winning the hearts. The tone, volume, rhythm and emotions of the communicator play a vital role while dealing with students.

     We may improve interpersonal skills with students by using technical skills too, i.e. ability to work with latest teaching aids like computers, multimedia or other technical equipments.

    Assessment methods for the above elements:

    These skills are assessed through coursework and written examinations.

Text book: Only one

         Numerical Analysis (8^th edition)

         R. Burden and J. D. Farris

         Thomson/ Brooks/Cole

Supplementary references

         Numerical Mathematics and Computing (5^th

           ^{Edition), Ward Cheney and David Kincaid, Thomson/ Brooks/Cole.}