Industrial Engineering (English)
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

General course introduction information

Course Code:

MATH220

Course Name:

Numerical Methods

Course Semester:

Fall

Course Credits:

Theoretical	Practical	Credit	ECTS
2	2	3	4

Language of instruction:

Course Requisites:

MATH113 - Mathematics I | MATH131@YÜ - Calculus I

Does the Course Require Work Experience?:

Type of course:

Compulsory

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator :

Dr.Öğr.Üyesi MESERET TUBA GÜLPINAR

Course Lecturer(s):

Course Assistants:

Course Objective and Content

Course Objectives:	To provide the student with numerical methods of solving the non-linear equations, interpolation, differentiation, integration and differential equations. To improve the student’s skills in numerical methods by using the numerical analysis software and computer facilities.
Course Content:	This course is designated to provide the necessary knowledge and skills in analysis of numerical methods to investigate numerical errors, Taylor’s theorem, numerical solutions of linear and nonlinear equations, interpolation and curve fitting methods, numerical differentiation and integration, numerical solutions of differential equations.

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
1) Calculate numerical errors.
2) Find roots of linear and nonlinear equations.
3) Evaluate solutions of systems of linear equations.
4) Apply curve fitting methods to a data set.
5) Calculate numerical differentiation and integration of functions.
6) Find the numerical solution of differential equations.
7) Use analytical and computational methods to solve construction related problems
8) Investigate applications of statistical techniques to interpret, organise and present data by using appropriate computer software packages
9) Illustrate the wide-ranging uses of calculus within different construction disciplines by solving problems of differential and integral calculus.
10) Use mathematical methods to solve vector analysis, arithmetic progression and dimensional analysis examples.
2 - Skills
Cognitive - Practical
3 - Competences
Communication and Social Competence
Learning Competence
Field Specific Competence
Competence to Work Independently and Take Responsibility

Lesson Plan

Week	Subject	Related Preparation
1)	• Introduction to basic concepts in numerical analysis • A brief review of numerical methods and application areas • Mathematical preliminaries, error analysis • Numerical errors • Taylor's theorem
2)	Root Finding Methods	Lecture Notes
3)	Root Finding Methods	Lecture Notes
4)	Solutions of the systems of linear equations	Lecture Notes
5)	Solutions of the Systems of Linear Equations	Lecture Notes
6)	Curve Fitting Methods	Lecture Notes
7)	Curve Fitting Methods	Lecture Notes
8)	Curve Fitting Methods	Lecture Notes
9)
10)	Numerical Differentiation	Lecture Notes
11)	Numerical Differentiation and Integration	Lecture Notes
12)	Numerical Integration	Lecture Notes
13)	Numerical Solutions of the Ordinary Differential Equations	Lecture Notes
14)	Numerical Solutions of the Ordinary Differential Equations	Lecture Notes

Sources

Course Notes / Textbooks:	Burden and Faires, Numerical Analysis (10th. Ed.) 2015
References:	Lecture notes Ders notu

Course-Program Learning Outcome Relationship

Learning Outcomes	1	2	3	4	5	6	7	8	9	10
Program Outcomes
1) Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems.
2) Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose.
3) Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues according to the nature of the design.)
4) Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively.
5) Ability to design and conduct experiments, gather data, analyse and interpret results for investigating engineering problems.
6) Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7) Ability to communicate effectively i Turkish, both orally and in writing; knowledge of a minimum of one foreign language.
8) Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
9) Awareness of professional and ethical responsibility.
10) Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development.
11) Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions.

Course - Learning Outcome Relationship

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems.
2)	Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose.
3)	Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues according to the nature of the design.)
4)	Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively.
5)	Ability to design and conduct experiments, gather data, analyse and interpret results for investigating engineering problems.
6)	Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7)	Ability to communicate effectively i Turkish, both orally and in writing; knowledge of a minimum of one foreign language.
8)	Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
9)	Awareness of professional and ethical responsibility.
10)	Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development.
11)	Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions.

Learning Activity and Teaching Methods

Lesson
Homework
Problem Solving
Q&A / Discussion

Assessment & Grading Methods and Criteria

Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing)
Homework

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Midterms	2	% 50
Final	1	% 50
total		% 100
PERCENTAGE OF SEMESTER WORK		% 50
PERCENTAGE OF FINAL WORK		% 50
total		% 100

Workload and ECTS Credit Grading

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	15	4	60
Homework Assignments	4	6	24
Midterms	2	10	20
Final	1	16	16
Total Workload			120