King Fahd University of Petroleum & Minerals

SYSTEMS  ENGINEERING  DEPARTMENT

 

SE  301 :  Numerical Methods

Term: 013

 

 

 

Instructor            :            Dr.  Mansour Al-Dajani

                                    Office : 22-136

                                    Phone : 1591

                                    E-mail: dajani@ccse.kfupm.edu.sa

Course Web Site:      www.ccse.kfupm.edu.sa/~dajani/SE301/

 

Office Hours            :            S. M.W.   11:30-12:30am

 

Catalog

Description : Roots of nonlinear equations. Solution of systems of linear and nonlinear algebraic equations. Numerical differentiation and integration. Interpolation, extrapolation, and approximation. Least-squares approximation and regression analysis. Numerical solution of ordinary differential equations. Introduction to error analysis. Engineering case studies.

 

 

Course

Objectives : After taking this course, the students should be able to tackle many numerical problems that come up in engineering applications.

 

Prerequisites            :            MATH 201, Computer Programming

 

Textbook : Cheney and Kincaid, Numerical Methods and Computing, Fourth Edition, 1999.

 

Attendance : University regulations regarding unexcused absences will be strictly enforced. Also, attendance affects your final grade.

 

 

Homework            :            HW must be submitted in class, on time.

 


 

Grading            :

                        Homework                   15%

                        Attendance                   5%       (- 0.5% per absence)

                        Quiz #1                        5%       (U 30 Jun.)

                        Midterm Exam            25%             (U 7 Jul. :     7-9pm)

                        Quiz #2                        5%            (T 23 Jul.)

                        Quiz #3/Comput. Ex.       10%            (T 6 Aug.)

                        Final Exam                35%            as scheduled

 

Course Outline           

 

Topic               Content                                               Section         

                                                                                               

1          Review of Taylor series                         1.2                  

            Number representation, error estimation            2.1-2.3            

           

2            Locating roots of Algebraic equations                     

            Bisection, Newton, and secant methods            3.1-3.3            

 

            Quiz #1                                                                               

 

3            Systems of linear equations                                  6.1-6.3            

 

MIDTERM  EXAM                                                                        

4          The method of least squares                         10.1, 10.3    

5            Polynomial interpolation                              4.1-4.3            

            Numerical differentiation

6            Numerical integration                                       5.1-5.3                        

            Gaussian Quadrature Formulas                      5.5                  

 

            Quiz # 2                                                                                             

7            Ordinary differential equations                      8.1-8.2            

            Higher order differential equations                      9.1-9.3            

            Boundary-value problems                                  12.2                

           

8          Partial differential equations                                  13.1-13.2    

            Parabolic and hyperbolic problems

 

Quiz # 3/Computer Exam  

 

FINAL  EXAM