Information Package / Course Catalogue - Adnan Menderes University

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Application of Mathematics in Environment

Course Code	: MAT430
Course Type	: Area Elective
Couse Group	: First Cycle (Bachelor's Degree)
Education Language	: Turkish
Work Placement	: N/A

Theory	: 3
Prt.	: 0
Credit	: 3
Lab	: 0
ECTS	: 6

Objectives of the Course

The aim of the course is to introduce the main concepts Mathematical modeling and give derivation of various models in biology, economics, geography, planning, sociology, medicine and psychology and to develop the basic theory of one important branch of mathematics namely differential equations and show its applications to many varied disciplines.

Course Content

Introduction the mathematical modeling, formulate real model in science and engineering, assumptions for model, formulate mathematical problem. To introduce various models and to give solutions either analytic or numerical.

Name of Lecturer(s)

Learning Outcomes

1.	To be able to construct a model using mathematical structures.
2.	To be able to use contemporary techniques and computational methods to solve models.
3.	To be able to analyze and interpret the model.
4.	Express the established models with technical report.

Recommended or Required Reading

1.	I. Liang Chein, "Mathematical Modeling and Ordinary Differential Equations" (2016)
2.	M. Braun, “Differential Equations and Their Applications”, Springer Verlag (1991)
3.	R. P. Agarwal and M. Bohner, “Advances in Dynamic Equations on Time Scales”, Birkhauser (2003)
4.	W. Boyce and R. DiPrima, Elementary Differential Equations and Boundary Value Problems, John Wiley and Sons, 6th edition (1997)
5.	C. Henry Edwards and David E. Penney, Elementary Differential Equations with Boundary Value Problems, Pearson, 5th Edition (2004)

Weekly Detailed Course Contents

Week 1 - Theoretical

Brief review of differential equations and modeling relationships.

Week 2 - Theoretical

Definition of mathematical model, conditions, formation scheme. General framework of modeling.

Week 3 - Theoretical

Differential equations; basic concept and ideas.

Week 4 - Theoretical

Growth ”and“ decrease ”models and general differential model.

Week 5 - Theoretical

Population models, Drug absorption models, Age determination with carbon.

Week 6 - Theoretical

Modeling of variables with separable equations.

Week 7 - Theoretical

Propagation models of technology.

Week 8 - Intermediate Exam

Modeling with linear first order equations.

Week 9 - Theoretical

Electric circuits models, Fish population models, Neoclassical economic growth models.

Week 10 - Theoretical

Modeling with second order linear differential equations.

Week 11 - Theoretical

Linear programming.

Week 12 - Theoretical

Modeling with nonlinear second order equations and sample models.

Week 13 - Theoretical

Modeling with equation systems and sample models.

Week 14 - Theoretical

Model report writing techniques.

Assessment Methods and Criteria

Type of Assessment	Count	Percent
Attending Lectures	1	%5
Assignment	1	%5
Midterm Examination	1	%30
Final Examination	1	%60

Workload Calculation

Activities	Count	Preparation	Time	Total Work Load (hours)
Lecture - Theory	14	0	3	42
Assignment	1	5	3	8
Individual Work	14	0	3	42
Midterm Examination	1	22	2	24
Final Examination	1	32	2	34
TOTAL WORKLOAD (hours)				150

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	PÇ-16	PÇ-17	PÇ-18
OÇ-1										5			4	4			4
OÇ-2	4	4	4										4	4				4
OÇ-3								4					3
OÇ-4					4						4					4

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