Course Code	Semester	Course Name	LE/RC/LA	Course Type	Language of Instruction	ECTS
DMB0010		Finite Elements Method	3/0/0	DE	Turkish	8

Course Goals	Understanding Finite Elements Methods.
Prerequisite(s)	None.
Corequisite(s)	None.
Special Requisite(s)	The minimum qualifications that are expected from the students who want to attend the course.(Examples: Foreign language level, attendance, known theoretical pre-qualifications, etc.)
Instructor(s)	Assist. Prof. Dr. Hikmet ÇAĞLAR
Course Assistant(s)	None.
Schedule	Will be announced in the forthcoming term.
Office Hour(s)	Yrd. Doç. Dr. Hikmet ÇAĞLAR, AK/3-A-09.
Teaching Methods and Techniques	Lecture and homeworks.
Principle Sources	Introduction to Finite and Spectral Element Methods using Matlab, C. Pozrikidis.
Other Sources	-

Course Schedules
Week	Contents	Learning Methods
1. Week	Introduction to finite element methods.	Lecture and homework
2. Week	The method of weighted residuals and Galerkin approximations.	Lecture and homework
3. Week	FEM in one dimension.	Lecture and homework
4. Week	The 2-D triangular element.	Lecture and homework
5. Week	The 2-D quadrilateral element.	Lecture and homework
6. Week	Isoparametric 2-D elements.	Lecture and homework
7. Week	The 3-D element.	Lecture and homework
8. Week	Midterm	Midterm
9. Week	Finite elements in solid mechanics.	Lecture and homework
10. Week	Finite elements in solid mechanics(Cont.).	Lecture and homework
11. Week	Application to inviscid flows.	Lecture and homework
12. Week	Application to inviscid flows(Cont.).	Lecture and homework
13. Week	Application to viscous fluid mechanics.	Lecture and homework
14. Week	Application to viscous fluid mechanics(Cont.).	Lecture and homework
15. Week	Final Exam
16. Week	Final Exam
17. Week	Final Exam

Assessments
Evaluation tools	Quantity	Weight(%)
Midterm(s)	1	50
Final Exam	1	50

Program Outcomes PO-1 Have ability to develop new mathematical ideas and methods by using high-level mental processes such as creative and critical thinking, problem solving and decision-making. PO-2 Follow the current developments in the field of mathematics, and make the critical analysis, synthesis and evaluation of new and complex ideas. PO-3 Understand the interdisciplinary interaction related to Mathematics and play a role in an effective manner in environments that require with the resolution of problems encountered in this process. PO-4 Defend original views on the discussion of the issues in the field of mathematics with experts and communicate to show competence in oral and written. PO-5 Do research with high-level national and international scientific working groups, and acquire the responsibility to contribute to the literature by publishing original works in respected scientific journals. PO-6 Use computer software to solve problems effectively by following the developments in information and communication technologies. PO-7 Contribute to the solution of social, scientific, cultural and ethical problems encountered issues related to the field and support the development of these values. PO-8 To solve problems related to the field, establish functional interacts by using strategic decision making processes. PO-9 Establish and discuss in written, oral and visual communication at an advanced level by using at least one foreign language.

Learning Outcomes LO-1 Students will learn how to apply these algorithms, and how to use them in MATLAB LO-2 This course provides an introduction to several fundamental algorithms for solving scientific and engineering problems, along with their derivation and application LO-3 Finite Elements Methods is the study of algorithms for solving problems of continuous mathematics LO-4 Students will learn how to apply spline methods, and how to use them in differential equations LO-5 Students will learn how to apply these algorithms, and how to use them in interpolation

Course Assessment Matrix:

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9
LO 1
LO 2
LO 3
LO 4
LO 5