Software 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:

Spring

Course Credits:

Theoretical	Practical	Credit	ECTS
2	2	3	4

Language of instruction:

Course Requisites:

MATH113 - Mathematics 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) I. Calculate numerical errors and explain Taylor's theorem
2) Find roots of linear and nonlinear equations.
3) Fit a curve for the given data set by using interpolation and curve fitting methods
4) Find the analytic and approximate solution of the systems of linear equations.
5) Calculate numerical differentiation and integration of functions and numerical solution of the ordinary differential equations.
6) Solve problems of algorithms for numerical methods in MATLAB
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) Information on project management and practices in business life such as risk management and change management; awareness about entrepreneurship, innovation and sustainable development.
2) Sufficient knowledge in mathematics, science and engineering related to their branches; the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems.
3) The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose.
4) The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.)
5) Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively.
6) Ability to design experiments, conduct experiments, collect data, analyze and interpret results for examination of engineering problems.
7) Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge.
8) Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant self-renewal.
9) Professional and ethical responsibility.
10) Information on the effects of engineering applications on health, environment and safety in the universal and social dimensions and the problems of the times; awareness of the legal consequences of engineering solutions.
11) The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill.

Course - Learning Outcome Relationship

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

	Program Outcomes	Level of Contribution
1)	Information on project management and practices in business life such as risk management and change management; awareness about entrepreneurship, innovation and sustainable development.
2)	Sufficient knowledge in mathematics, science and engineering related to their branches; the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems.	1
3)	The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose.	4
4)	The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.)	2
5)	Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively.
6)	Ability to design experiments, conduct experiments, collect data, analyze and interpret results for examination of engineering problems.	5
7)	Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge.
8)	Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant self-renewal.
9)	Professional and ethical responsibility.
10)	Information on the effects of engineering applications on health, environment and safety in the universal and social dimensions and the problems of the times; awareness of the legal consequences of engineering solutions.	3
11)	The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill.

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
Midterms	2	20	40
Final	1	20	20
Total Workload			120