College of Engineering

Courses

Numerical Analysis

Course Code GKRD216 Th 4 Pr 4 CrHrs 3

The main objective of this course is to provide students with an introduction to the field of numerical analysis. Aside from developing competency in the topics and emphases listed above, the course aims to: further develop and apply problem solving skills through the introduction of numerical methods; provide a ground for applying knowledge acquired in previous mathematics courses; and give students an opportunity to develop and present an independent project.

The main objective of this course is to provide students with an introduction to the field of numerical analysis. Aside from developing competency in the topics and emphases listed above, the course aims to: further develop and apply problem solving skills through the introduction of numerical methods; provide a ground for applying knowledge acquired in previous mathematics courses; and give students an opportunity to develop and present an independent project.

Distribution of Marks

Final Mark

Final Exam

Second Term

Mid-Term Exam

First Term

100

Practical

Theoretical

Theoretical

Practical

Theoretical

Theoretical

20

40

5

10

20

5

References

No.

Conte, S. D., & De Boor, C. (2017). Elementary numerical analysis: an algorithmic approach. Society for Industrial and Applied Mathematics.

1

Linz, P. (2019). Theoretical numerical analysis. Courier Dover Publications

2

Curtis F. Gerald and Patrick O. Wheatley (2006). Applied Numerical Analysis

3

 

Subject

 

Date

 

Week

 

To

From

Chapter One Preliminaries,

30/9/2020

27/9/2020

1

Chapter Two: Solving Nonlinear Equations

Interval Halving (Bisection), Linear Interpolation Methods,

7/10/2020

3/10/2020

2

 Newton’s Method,

14/10/2020

10/10/2020

3

Muller’s Method

21/10/2020

17/10/2020

4

Chapter Three Solving Set of Equations

Matrices and Vectors, Elimination Methods:

28/10/2020

24/10/2020

5

Gaussian Elimination & Gauss Jordan, The invers of a matrix and matrix pathology

4/11/2020

31/10/2020

6

Chapter Four: Interpolation & Curve Fitting

Fitting a Polynomial to Data

Lagrangian Polynomials

11/11/2020

7/11/2020

7

Neville’s Method

18/11/2020

14/11/2020

8

Divided Differences

25/11/2020

21/11/2020

9

Mid Term Exam

2/12/2020

28/11/2020

10

Chapter Five: Approximation of Functions

9/12/2020

5/12/2020

11

Taylor & Maclaurin Series

16/12/2020

12/12/2020

12

Chebyshev Polynomials

23/12/2020

19/12/2020

13

Economizing a Power Series, Chebyshev Series

7/1/2021

2/1/2120

14

Final Exams

13/1/2021

9/1/2021

15

20/1/2021

16/1/2021

16

Examinations (Type of Questions)

For Example

1. Compositional: The examinations do not include compositional questions

2. True or false type of exams:

     The examination for the first topic includes true or false questions

3. Mathematical Questions:

   The tasks is accomplished by solving mathematical equation according to question requirements

4. Filling the blank:

   The student must fill the blank with correct answer

5. Definition, Explanation, Differences between particular topics:

    According to the tasks, state the solution of topics mentioned above

6. Multiple choices:

    The examination for the first topic includes multiple choice questions

7. Graphical Tasks:

   The examination include diagrams, waveforms, etc.

8. Performing tasks on the computer: (Practical):

   The tasks consist of different steps graded according to its difficulty level