Code |
Name of the Course Unit |
Semester |
In-Class Hours (T+P) |
Credit |
ECTS Credit |
MAT219 |
NUMERICAL ANALYSIS |
4 |
3 |
3 |
5 |
GENERAL INFORMATION |
Language of Instruction : |
Turkish |
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 |
Prof. AHMET CİHAT BAYTAŞ |
Instructor(s) of the Course Unit |
Assist.Prof. FERHAT KÜRÜZ-Assist.Prof. MEHMET ARSLAN-Assist.Prof. MELİS BOLAT |
Course Prerequisite |
No |
OBJECTIVES AND CONTENTS |
Objectives of the Course Unit: |
|
Contents of the Course Unit: |
|
KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to) |
WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY |
Week |
Preparatory |
Topics(Subjects) |
Method |
1 |
- |
Introduction, Errors in Numerical Operations |
- |
2 |
- |
Matrix, Solutions of Linear Equation Systems, Introduction |
- |
3 |
- |
Direct Methods I: LU, Separation Method, Dolittle Method, Crout Method |
- |
4 |
- |
Direct Methods II: Cholesky Method |
- |
5 |
- |
Indirect Methods: Jacobi Method, Gauss Seidel Method, Error Analysis in Linear Equation System Solutions |
- |
6 |
- |
Nonlinear Equations I: Finding the Root Interval, Bisection Method |
- |
7 |
- |
Nonlinear Equations II: Fixed point iteration method, Newton Raphson Method |
- |
8 |
- |
MID-TERM EXAM |
- |
9 |
- |
Approximation Method I: Interpolation, Interpolation Polynomials |
- |
10 |
- |
Approximation Method II: Lagrange Interpolation, Newton Interpolation, Divided Differences Interpolation |
- |
11 |
- |
Numerical Derivativaton I: Forward Difference - Backword Difference - Central Difference Methods |
- |
12 |
- |
Numerical Derivativaton II: First and second order derivatives |
- |
13 |
- |
Numerical Integration I: Pivot Point, Interpolation Line and Integration Formulas |
- |
14 |
- |
Numerical Integration II: Interpolation Parabola, Simpson's Method, Numerical Integral Error Analysis |
- |
15 |
- |
An overview |
- |
16 |
- |
FINAL EXAM |
- |
17 |
- |
FINAL EXAM |
- |
SOURCE MATERIALS & RECOMMENDED READING |
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 |
Ability to apply mathematics, science and engineering knowledge.
|
|
|
|
|
|
5 |
KNOWLEDGE |
Factual |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Ability to apply mathematics, science and engineering knowledge.
|
|
|
|
|
|
5 |
SKILLS |
Cognitive |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Ability to design experiments, conduct experiments, collect data, analyze and interpret results.
|
0 |
|
|
|
|
|
SKILLS |
Practical |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
A system, product or process has economic, environmental, social, political, ethical, health and safety,
under realistic constraints and conditions such as feasibility and sustainability,
Ability to design to meet requirements.
|
|
|
2 |
|
|
|
OCCUPATIONAL |
Autonomy & Responsibility |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Ability to work in teams with different disciplines
|
|
|
2 |
|
|
|
OCCUPATIONAL |
Learning to Learn |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Ability to identify, formulate and solve engineering problems
|
|
|
|
|
|
5 |
OCCUPATIONAL |
Communication & Social |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Awareness of having professional and ethical responsibilities.
|
|
1 |
|
|
|
|
2 |
Ability to communicate effectively verbally and in writing.
|
|
1 |
|
|
|
|
OCCUPATIONAL |
Occupational and/or Vocational |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
The ability to have a comprehensive education to understand the impact of engineering solutions on global and social dimensions.
|
|
1 |
|
|
|
|
2 |
Awareness of the necessity of lifelong learning and the ability to do so.
|
|
1 |
|
|
|
|
3 |
The ability to have knowledge about current/contemporary issues.
|
|
|
2 |
|
|
|
4 |
Ability to use the techniques required for engineering applications and modern engineering and calculation equipment.
|
|
|
|
3 |
|
|
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 |
1 |
14 |
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 |
14 |
1 |
14 |
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 |
1 |
1 |
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 |
46 |
0 |
123 |
|
Total Workload of the Course Unit |
123 |
|
|
Workload (h) / 25.5 |
4,8 |
|
|
ECTS Credits allocated for the Course Unit |
5,0 |
|