Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS Credits
5MAT330Numerical Analysis3+0+035

Course Details
Language of Instruction Turkish
Level of Course Unit Bachelor's Degree
Department / Program Mechanical Engineering
Mode of Delivery Face to Face
Type of Course Unit Compulsory
Objectives of the Course 1.an introduction to the language, logic, and math of numerical methods as used in engineering and the sciences
2.an opportunity to learn how numerical analyses can be applied to a wide range of problems of importance in the sciences, industry, and society.
Course Content Description of Numerical Methods 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.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Asist Prof. Pegah Mutlu
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources James F. Epperson, 2001, An Introduction to Numerical Methods and Analyses,, John Wiley and Sons, ISBN:0471316474.
Lecturing
1 Ara Sınav, 1 Final Sınavı

Course Category
Mathematics and Basic Sciences %100

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Final examination 1 % 60
Total
1
% 60

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 14 3 42
Hours for off-the-c.r.stud 14 6 84
Mid-terms 1 2 2
Final examination 1 2 2
Total Work Load   Number of ECTS Credits 5 130

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 The fundamental knowledge of numerical methods.
2 The ability to use the knowledge about numerical methods in analyzing a problem.
3 The ability to choose the right solution method for a particular event.


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Introduction, Error in numerical analysis
2 Error analysis of functions, least square concepts in numerical methods
3 Series and error
4 Root finding methods
5 Fixed point iteration
6 Newton methods
7 General review
8 Midterm exam
9 Interpolation approach
10 Numerical integration
11 Regula Falsi, Succesive Substitution Method
12 Approximation methods, Interpolation, Linear Regression, Interpolation Polynoms
13 Numerical differentiation
14 Initial value problem in ordinary differential equations (if time remains)
15 Initial value problem in ordinary differential equations (if time remains)
16 Final exam


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11
All 5 1 1 1 1 1 1 1 1 1
C1 5 1 1 1 1 1 1 1 1 1
C2 5 1 1 1 1 1 1 1 1 1
C3 5 1 1 1 1 1 1 1 1 1

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