Code |
Name of the Course Unit |
Semester |
In-Class Hours (T+P) |
Credit |
ECTS Credit |
MTH219 |
NUMERICAL ANALYSIS |
4 |
3 |
3 |
5 |
GENERAL INFORMATION |
Language of Instruction : |
English |
Level of the Course Unit : |
BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle |
Type of the Course : |
Compulsory |
Mode of Delivery of the Course Unit |
- |
Coordinator of the Course Unit |
Assist.Prof. AHMAD RESHAD NOORI |
Instructor(s) of the Course Unit |
|
Course Prerequisite |
MTH105 -
MATHEMATICS I
|
OBJECTIVES AND CONTENTS |
Objectives of the Course Unit: |
To teach the students an introduction to the language, logic, and math of numerical
methods as used in engineering and the sciences, an opportunity to learn how
numerical analyses can be applied to a wide range of problems of importance in the
sciences, industry, and society. |
Contents of the Course Unit: |
Description of Numerical Analysis and application of them particularly in
engineering. Error analyses in numerical methods, analitical solutions, numerical
methods for the solution of systems (lineer and non linear), approximation methods,
interpolation, linear regression, numerical integration. |
KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to) |
The students who take the course will be able to;
I. The fundamental knowledge of numerical analysis.
II. The ability to use the knowledge about numerical methods in analyzing a
problem.
III. The ability to choose the right solution method for a particular event |
WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY |
Week |
Preparatory |
Topics(Subjects) |
Method |
1 |
Literature Research |
Introduction, Error in Numerical Analysis |
Expression |
2 |
Literature Research |
Systems of Linear Equations, Matrix Algebra |
Expression |
3 |
Literature Research |
Solution of Linear Equations Systems, Direct Methods, Cramer Method, Gauss Elimination |
Expression |
4 |
Literature Research |
Gauss Jordan, LU Method |
Expression |
5 |
Literature Research |
Doolittle Methods Cholesky Method |
Expression |
6 |
Literature Research |
Jacobi Iterative Method |
Expression |
7 |
Literature Research |
Gauss Siedel Iterative Method, Error Analysis of Linear Equations Systems |
Expression |
8 |
- |
MID-TERM EXAM |
- |
9 |
Literature Research |
Non Linear Equation Systems, Root Finding |
Expression |
10 |
Literature Research |
Bisection and Newton Raphson Iteration Methods |
Expression |
11 |
Literature Research |
Fixed Point Iteration |
Expression |
12 |
Literature Research |
Approximation Methods, Interpolation, Interpolation Polynomials |
Expression |
13 |
Literature Research |
Lagrange Interpolation, Newton Interpolation |
Expression |
14 |
Literature Research |
Numerical Integration, Pivot Point, Interpolation, Short Presentations |
Expression |
15 |
Literature Research |
Gaussian Quadrature and Gauss Legendre Integration Formulations, Extrapolation, Short Presentations |
Expression |
16 |
- |
FINAL EXAM |
- |
17 |
- |
FINAL EXAM |
- |
SOURCE MATERIALS & RECOMMENDED READING |
An Introduction to Numerical Methods and Analyses, James F. Epperson, John
Wiley and Sons, 2001, ISBN:0471316474. |
Sayısal Çözümleme, R. Tapramaz, Literatür yayıncılık, 2002, ISBN:0130126411 |
Nümerik Analiz, İ. uzun, Beta yayınları, 2004, 4. ISBN:9754869529 |
Mühendisler için sayısal yöntemler, Chaapra, S., C., Canale, R., P., Literatür
Kitabevi, 2003, ISBN:0130126411. |
ASSESSMENT |
Assessment & Grading of In-Term Activities |
Number of Activities |
Degree of Contribution (%) |
Description |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
CONTRIBUTION OF THE COURSE UNIT TO THE PROGRAMME LEARNING OUTCOMES
KNOWLEDGE |
Theoretical |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Consider the formal systems used in civil engineering and discusses different method
|
|
|
|
|
4 |
|
SKILLS |
Cognitive |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Civil engineering design for the project presentation to the correct expression is the formnül
|
|
|
|
|
|
5 |
OCCUPATIONAL |
Autonomy & Responsibility |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Able to work independently in the field of civil engineering in the production and take responsibility for these issues
|
|
1 |
|
|
|
|
OCCUPATIONAL |
Learning to Learn |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
As a requirement of civil engineering monitors current changes.
|
|
|
2 |
|
|
|
OCCUPATIONAL |
Communication & Social |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
As an individual becomes aware of social and professional responsibility.
|
|
1 |
|
|
|
|
OCCUPATIONAL |
Occupational and/or Vocational |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
The powers and responsibilities of civil engineering and construction management takes place within.
|
|
1 |
|
|
|
|
WORKLOAD & ECTS CREDITS OF THE COURSE UNIT |
Workload for Learning & Teaching Activities |
Type of the Learning Activites |
Learning Activities (# of week) |
Duration (hours, h) |
Workload (h) |
Lecture & In-Class Activities |
14 |
3 |
42 |
Preliminary & Further Study |
14 |
2 |
28 |
Land Surveying |
0 |
0 |
0 |
Group Work |
0 |
0 |
0 |
Laboratory |
0 |
0 |
0 |
Reading |
0 |
0 |
0 |
Assignment (Homework) |
0 |
0 |
0 |
Project Work |
0 |
0 |
0 |
Seminar |
0 |
0 |
0 |
Internship |
0 |
0 |
0 |
Technical Visit |
0 |
0 |
0 |
Web Based Learning |
0 |
0 |
0 |
Implementation/Application/Practice |
0 |
0 |
0 |
Practice at a workplace |
0 |
0 |
0 |
Occupational Activity |
0 |
0 |
0 |
Social Activity |
0 |
0 |
0 |
Thesis Work |
0 |
0 |
0 |
Field Study |
0 |
0 |
0 |
Report Writing |
0 |
0 |
0 |
Final Exam |
1 |
2 |
2 |
Preparation for the Final Exam |
1 |
30 |
30 |
Mid-Term Exam |
1 |
2 |
2 |
Preparation for the Mid-Term Exam |
1 |
20 |
20 |
Short Exam |
0 |
0 |
0 |
Preparation for the Short Exam |
0 |
0 |
0 |
TOTAL |
32 |
0 |
124 |
|
Total Workload of the Course Unit |
124 |
|
|
Workload (h) / 25.5 |
4,9 |
|
|
ECTS Credits allocated for the Course Unit |
5,0 |
|