COURSE UNIT TITLE

: MATH. MODELING AND ITS PHILOSOPHY

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 4044 MATH. MODELING AND ITS PHILOSOPHY ELECTIVE 4 0 0 7

Offered By

Mathematics (English)

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR HALIL ORUÇ

Offered to

Mathematics (Evening)
Mathematics (English)

Course Objective

The aim of the course is to introduce modeling approach and simulation as a tool for the analysis, planning and construction of physical processes, to understand the relation between the model equations and it s variables. During the course the student will attain the knowledge and skills to develop a mathematical model and to conduct it both in modeling, solution and it s philosophy cases.

Learning Outcomes of the Course Unit

1   will be realize the basic components of the modeling
2   will be able to recognize the physical realities and model as a first-order ordinary differential equations
3   will be able to use the solution methods of first order ordinary differential equations
4   will be able to recognize the physical realities and model as a second-order ordinary differential equations
5   will be able to use the solution methods of second order ordinary differential equations
6   will be able to comprehend the relations between mathematics, modeling and philosophy

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Recognition of the basic mathematical models, modeling of simple problems, time-dependent models, relations between mathematics and philosophy
2 Modeling applications, classification of differential equations, Philosophy of Science, Philosophy of Mathematics
3 First order differential equation models, population, falling bodies, heating and cooling problems
4 First order differential equation models, mixture and mixing problems
5 Mixture and mixing problems in different geometrical storage tanks, Five Equations that Changed the World titled book is divided into groups for discusssion
6 Solution of the modeling problems, Overview of the solutions to the differential equations, Presentation of 1st group
7 Solution of the modeling problems, Overview of the solutions to the differential equations, Presentation of 2nd group
8 Numerical solutions of modeling problems using Euler and Runge Kutta , Presentation of 3th group
9 Second order differential equation models, the vibration of springs, Presentation of 4th group
10 Second order differential equation models, the damped and forced vibrations, Presentation of 5th group
11 Midterm Exam
12 Second order differential equation models, the electric circuits Discussion for the reading book
13 Solution of the modeling problems, Overview of the higher order differential equations, Worklife after training
14 Numerical solutions of higher order differential equations

Recomended or Required Reading

Textbook(s): Ana kaynak: Differential Equations An Introduction to Modern Methods and Applications by J.R.Brannan, W.E.Boyce, John Wiley and Sons

Supplementary Book(s): Differential Equations by Shepley L. Ross. Fourth Edition, John Wiley and Sons

Planned Learning Activities and Teaching Methods

Lecture Notes
Problem solving

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.50 + FIN * 0.50
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.50 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

1. Attending at least 70 percent of lectures is mandatory.
2. Plagiarism of any type will result in disciplinary action

Contact Details for the Lecturer(s)

Prof.Dr. Halil Oruç
halil.oruc@deu.edu.tr
Tel: (232) 3018577
Ofis B205

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 4 52
Preparations before/after weekly lectures 12 5 60
Preparation for midterm exam 1 25 25
Preparation for final exam 1 30 30
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 171

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13
LO.13334444
LO.233434
LO.334545
LO.433434
LO.534545
LO.64333545

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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