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 |
Assist.Prof. AHMAD RESHAD NOORI |
Instructor(s) of the Course Unit |
|
Course Prerequisite |
MAT105 -
MATHEMATICS I
|
OBJECTIVES AND CONTENTS |
Objectives of the Course Unit: |
To provide students with the language, logic and mathematics of numerical methods used in engineering and science, and to teach them how to use numerical methods to solve problems in a wide range of areas in science, industry and society. |
Contents of the Course Unit: |
Definition of Numerical Analysis and especially its use in engineering applications. Error analysis in numerical methods, analytical solutions, solutions of linear and nonlinear equation systems, 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) |
Students taking this course will; I. Understand the fundamentals of numerical analysis. II. Have the ability to use numerical methods in the analysis of a problem in engineering. III. Have the ability to choose the right solution method for a particular topic. |
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 |
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 |
The formal systems used in civil engineering takes and Discuss the different methods
|
|
|
|
|
4 |
|
SKILLS |
Cognitive |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Civil engineering design for the project presentation ensures the correct expression
|
|
|
|
|
|
5 |
SKILLS |
Practical |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Civil engineering design for the project presentation ensures the correct expression
|
|
|
2 |
|
|
|
OCCUPATIONAL |
Autonomy & Responsibility |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Rise construction in the areas of production engineering can work independently 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 the civil engineering profession and the current change follows the principle of lifelong learning
|
|
|
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 |
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 |
|