Information Package / Course Catalogue - Adnan Menderes University

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Mathematical Modelling

Course Code	: MTK525
Course Type	: Area Elective
Couse Group	: Second Cycle (Master's Degree)
Education Language	: Turkish
Work Placement	: N/A

Theory	: 3
Prt.	: 0
Credit	: 3
Lab	: 0
ECTS	: 8

Objectives of the Course

This course aims to acquaint students with the basic knowledge of numerical solution of some kinds of integral equations and ODEs. Students will be familiar with classification of equations Volterra and Fredholm method of solutions. They may easily understand the features of topics used at the area of information other courses. They will be able to make applications related to biology, and other sciences.

Course Content

Introduction to mathematical modelling, Linear and non-linear differential equations, Population and logistic equations, Time depend phenomena, Harvesting and toxicity, Time depend phenomena with integral term

Name of Lecturer(s)

Learning Outcomes

1.	To be able to comprehend the real life problems.
2.	To be able to comprehend Population and logistic equations
3.	To be able to write numerical programming.
4.	To be able to comprehend time depend phenomena.
5.	To be able to develop analytical skills and apply to problems

Recommended or Required Reading

1.	Paul Davis, (1999), Differential Equations : Modeling with MATLAB, Prentice Hall.
2.	G. A Turskey, F. Yuan, D. K. Katz, (2004), Tranport Phenomena in Biological Systems
3.	S. M. Dunn, A. Constantides, P. V. Moghe, (2006) Numerical methods in Biomedical Engineer, Academic press.

Weekly Detailed Course Contents

Week 1 - Theoretical

Introduction to mathematical modelling

Week 2 - Theoretical

Applications in real life

Week 3 - Theoretical

Finite difference methods for ODEs,

Week 4 - Theoretical

Finite difference methods for PDEs

Week 5 - Theoretical

Numerical solution and stability of differential equations

Week 6 - Theoretical

Cauchy- Riemann equations

Week 7 - Theoretical

Local truncation errors

Week 8 - Theoretical

Linear and non-linear differential equations, Midterm exam

Week 9 - Theoretical

Linear and non-linear differential equations

Week 10 - Theoretical

Population and logistic equations

Week 11 - Theoretical

Harvesting and toxicity

Week 12 - Theoretical

Time depend phenomena

Week 13 - Theoretical

Toxicity term via integral terms

Week 14 - Theoretical

Time depend phenomena with integral term

Week 15 - Final Exam

FINAL EXAM

Assessment Methods and Criteria

Type of Assessment	Count	Percent
Midterm Examination	1	%30
Final Examination	1	%70

Workload Calculation

Activities	Count	Preparation	Time	Total Work Load (hours)
Lecture - Theory	14	0	3	42
Individual Work	14	0	4	56
Midterm Examination	1	42	3	45
Final Examination	1	54	3	57
TOTAL WORKLOAD (hours)				200

Contribution of Learning Outcomes to Programme Outcomes

	PÇ-1	PÇ-2	PÇ-3	PÇ-4	PÇ-5	PÇ-6	PÇ-7	PÇ-8	PÇ-9	PÇ-10	PÇ-11	PÇ-12	PÇ-13	PÇ-14	PÇ-15
OÇ-1	3	3	3	3								3			4
OÇ-2	4	4	4	4	4		4								4
OÇ-3	4	4	4	4	4		4								4
OÇ-4	4		4									5			3
OÇ-5	4		4									4			4

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