TR EN

NUMERICAL ANALYSIS PROGRAMME COURSE DESCRIPTION

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 Prof. AHMET CİHAT BAYTAŞ
Instructor(s) of the Course Unit Assist.Prof. SAJEDEH NOROZPOUR SIGAROODI-Assist.Prof. TARIK ARABACI
Course Prerequisite No

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
Ability to apply mathematics, science and engineering knowledge.

KNOWLEDGE

Factual

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Ability to apply mathematics, science and engineering knowledge.

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.

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.

OCCUPATIONAL

Autonomy & Responsibility

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Ability to work in teams with different disciplines

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

OCCUPATIONAL

Communication & Social

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Awareness of having professional and ethical responsibilities.
2
Ability to communicate effectively verbally and in writing.

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.
2
Awareness of the necessity of lifelong learning and the ability to do so.
3
The ability to have knowledge about current/contemporary issues.
4
Ability to use the techniques required for engineering applications and modern engineering and calculation equipment.

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