Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

FACULTY OF LETTERS & SCIENCE / MAT484 - MATHEMATICS

Code: MAT484 Course Title: INTRODUCTION TO FINITE ELEMENT METHODS Theoretical+Practice: 4+0 ECTS: 6
Year/Semester of Study 4 / Spring Semester
Level of Course 1st Cycle Degree Programme
Type of Course Optional
Department MATHEMATICS
Pre-requisities and Co-requisites None
Mode of Delivery Face to Face
Teaching Period 14 Weeks
Name of Lecturer SEYDİ BATTAL GAZİ KARAKOÇ (sbgkarakoc@nevsehir.edu.tr)
Name of Lecturer(s)
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
The aim of this course is to learn the basic concepts of the finite element method and to apply the finite element method to some partial differential equations.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data.
PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge.
PO-4 Analytically use the interdisciplinary approach at learning process.
Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Application areas of the finite element method and basic steps. Advantages of the method and its advantages over other methods. Variational Methods, Rayleigh-Ritz Method. Weighted Residual Methods, Petrov-Galerkin Method, Galerkin Method, Least Squares Method, Collocation Method.
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 General Information, Application areas of the finite element method and its basic steps. Advantages of the method and its advantages over other methods. Narrative and problem solving methods.
2 Convergence criteria. Matrix Operations; Multiplication and addition of matrices, Inverse of matrices, Transposition of matrices, Solution of equation systems Narrative and problem solving methods.
3 Weighted integral and weak formulations. Narrative and problem solving methods.
4 Linear, Bilinear and Quadratic Functions Narrative and problem solving methods.
5 Variational Methods, Rayleigh-Ritz Method. Narrative and problem solving methods.
6 Weight Residual Methods, Petrov-Galerkin Method. Narrative and problem solving methods.
7 Weight Residual Methods, Petrov-Galerkin Method. Narrative and problem solving methods.
8 mid-term exam
9 Galerkin Method Narrative and problem solving methods.
10 Galerkin Method Narrative and problem solving methods.
11 Least Squares Method Narrative and problem solving methods.
12 Least Squares Method Narrative and problem solving methods.
13 Collocation Method Narrative and problem solving methods.
14 Collocation Method Narrative and problem solving methods.
15 Examples for each methods Narrative and problem solving methods.
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 The Finite Element method with An introduction with partial differential equations, A.J Davies, Oxford
2 A First Course in Finite Elements, Jacob Fish and Ted , Wiley Edition.
Required Course instruments and materials

Assessment Methods
Type of Assessment Week Hours Weight(%)
mid-term exam 8 2 40
Other assessment methods
1.Oral Examination
2.Quiz
3.Laboratory exam
4.Presentation
5.Report
6.Workshop
7.Performance Project
8.Term Paper
9.Project
final exam 16 2 60

Student Work Load
Type of Work Weekly Hours Number of Weeks Work Load
Weekly Course Hours (Theoretical+Practice) 3 14 42
Outside Class
       a) Reading 5 14 70
       b) Search in internet/Library 2 14 28
       c) Performance Project 0
       d) Prepare a workshop/Presentation/Report 0
       e) Term paper/Project 0
Oral Examination 0
Quiz 0
Laboratory exam 0
Own study for mid-term exam 4 4 16
mid-term exam 2 1 2
Own study for final exam 5 4 20
final exam 2 1 2
0
0
Total work load; 180