Course Information
SemesterCourse Unit CodeCourse Unit TitleL+PCreditNumber of ECTS Credits
5MATH333INTRODUCTION TO MATHEMATICAL MODELLING3+036

Course Details
Language of Instruction English
Level of Course Unit First Cycle
Department / Program MATHEMATICS
Mode of Delivery Face to Face
Type of Course Unit Elective
Objectives of the Course 1. Set up the models for real-world phenomenas
2. Use the appropriate mathematical techniques to analyze the models
3. Use ordinary differential equations in modelling
4. Analyze the behaviour of the solutions qualitatively.
Course Content Modelling with discrete dynamical systems. The modelling process, proportionality and geometric similarity. Model fitting. Experimental modelling. Simulation modelling. Discrete probability modelling. Discrete optimization modelling, linear programming and numerical search methods. Dimensional analysis and similitude. Graphs of functions as models. Modelling with systems of differential equations. Continuous optimization modelling. Project.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Associate Prof.Dr. ALİ İHSAN NESLİTÜRK
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources 1. A First Course in Mathematical Modelling (Frank R. Giordano, Maurice D. Weir , William P. Fox ), Brooks&Cole 3rd Edition , 2003.
2. Mathematical Modelling with Case Studies: A Differential Equation Approach Using Maple, (Belinda Barnes, Glenn Fulford), CRC Press; 1st edition, 2002.
3. Mathematical Models in Biology : An Introduction, (Elizabeth S. Allman, John A. Rhodes)
4. Case Studies in Mathematical Modelling---Ecology, Physiology, and Cell Biology. (Edited by H. G. Othmer, F. R. Adler, M. A. Lewis, and J. C. Dallon.) Prentice-Hall, 1997.

Course Category

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Midterm exams 1 % 20
Quizzes 0 % 0
Homeworks 0 % 0
Other activities 0 % 0
Laboratory works 0 % 0
Projects 1 % 50
Final examination 1 % 30
Total
3
% 100

ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Weekly Course Time 1 42 42
Outside Activities About Course (Attendance, Presentation, Midterm exam,Final exam, Quiz etc.) 1 84 84
Exams and Exam Preparations 1 10 10
Total Work Load   Number of ECTS Credits 5 136

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 1. An ability to apply knowledge of mathematics toreal-world
2 2. An ability to identify, formulate, and solve engineering problems
3 3. Understand physical mechanisms by means of mathematical tools
4 4. Translate a physical problem into a mathematical model
5 5. Observe connections between mathematics and other disciplines


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 MODELING WITH DISCRETE DYNAMICAL SYSTEMS A First Course in Mathematical Modelling (Frank R. Giordano, Maurice D. Weir , William P. Fox ), Brooks&Cole 3rd Edition , 2003.
2 THE MODELLING PROCESS, PROPORTIONALITY AND GEOMETRIC SIMILARITY A First Course in Mathematical Modelling (Frank R. Giordano, Maurice D. Weir , William P. Fox ), Brooks&Cole 3rd Edition , 2003.
3 MODEL FITTING A First Course in Mathematical Modelling (Frank R. Giordano, Maurice D. Weir , William P. Fox ), Brooks&Cole 3rd Edition , 2003.
4 EXPERIMENTAL MODELLING A First Course in Mathematical Modelling (Frank R. Giordano, Maurice D. Weir , William P. Fox ), Brooks&Cole 3rd Edition , 2003.
5 SIMULATION MODELLING A First Course in Mathematical Modelling (Frank R. Giordano, Maurice D. Weir , William P. Fox ), Brooks&Cole 3rd Edition , 2003.
6 DISCRETE PROBABILITY MODELLING A First Course in Mathematical Modelling (Frank R. Giordano, Maurice D. Weir , William P. Fox ), Brooks&Cole 3rd Edition , 2003.
7 DISCRETE OPTIMIZATION MODELLING LINEAR PROGRAMMING AND NUMERICAL SEARCH METHODS A First Course in Mathematical Modelling (Frank R. Giordano, Maurice D. Weir , William P. Fox ), Brooks&Cole 3rd Edition , 2003.
8 DIMENSIONAL ANALYSIS AND SIMILITUDE A First Course in Mathematical Modelling (Frank R. Giordano, Maurice D. Weir , William P. Fox ), Brooks&Cole 3rd Edition , 2003.
9 GRAPHS OF FUNCTIONS AS MODELS A First Course in Mathematical Modelling (Frank R. Giordano, Maurice D. Weir , William P. Fox ), Brooks&Cole 3rd Edition , 2003.
10 MODELLING WITH SYSTEMS OF DIFFERENTIAL EQUATION A First Course in Mathematical Modelling (Frank R. Giordano, Maurice D. Weir , William P. Fox ), Brooks&Cole 3rd Edition , 2003.
11 MODELLING WITH SYSTEMS OF DIFFERENTIAL EQUATIONS A First Course in Mathematical Modelling (Frank R. Giordano, Maurice D. Weir , William P. Fox ), Brooks&Cole 3rd Edition , 2003.
12 CONTINUOUS OPTIMIZATION MODELLING A First Course in Mathematical Modelling (Frank R. Giordano, Maurice D. Weir , William P. Fox ), Brooks&Cole 3rd Edition , 2003.
13 Project Presentations
14 Project Presentations
15 Final 1st week
16 Final 2nd week


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13 P14
C1 4 4
C2 4 4 4
C3 4 4
C4 4
C5 4

Contribution: 0: Null 1:Slight 2:Moderate 3:Significant 4:Very Significant


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