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NUMERICAL ANALYSIS PROGRAMME COURSE DESCRIPTION

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