Course Information
Course Title Code Semester T + P ECTS
Environmental Modeling CEV464 8 3 + 0 6

Prerequisites None

Language Turkish
Level Bachelor's Degree
Type Elective
Coordinator Assoc.Prof. AYTEN GENÇ
Instructors Assoc.Prof. AYTEN GENÇ
Goals Students can formulate mathematically the tranport of pollutants in treatment processes by writing equations of continuity and motions and have basic knowledge about numerical analysis.
Contents Mathematical formulation of physical and chemical processes, principles of environmental modeling, continuity equation, general mass and energy equilibrium, reactors and reactions, initial and boundary value problems, mathematical model development for selected environmental systems, analytical and numerical solution techniques for selected model equations, computer application for numerical methods.
Work Placement(s) Absent

Number Learning Outcomes
1 Students can formulate the transport of pollutants through air, water and soil by diffusion and convection
2 Students can write equations of continuity and motion for treatment processes where filling, emptying and reactions are involved
3 Students can solve ordinary differential equations by applying Euler and finite difference methods
4 Students can draw graphs by using MATLAB and can perform numerical integration and differentation
5 Students can compare analytical analytical solutions of ordinary differential equations

Mode of Delivery Face-to-Face
Planned Learning Activities & Teaching Methods Lecture, presentation, group work, project
Assessment Methods Midterm (Week 10), homework, final exam

Course Content
Week Topics Study Materials
1 Mathematical modelling and definitions Students read pages from 1 to 15
2 Transport by diffusion and convection Students read pages from 1 to 15
3 Difference between analytical and numerical solutions; error definition Students read pages from 17 to 25
4 Equations of continuity and motion Students read pages from 30 to 45
5 Numerical solution methods for ordinary differential equations: Euler and finite difference Students read pages from 729 to 774 (Chapra)
6 Error analysis for numerical solutions Students read pages from 78 to 108 (Chapra)
7 Learning MATLAB basic command: drawing graphs Student will remember their computer knowledge
8 Numerical integration by using MATLAB Students will write a program by using MATLAB
9 Numerical differentiation by using MATLAB Students will draw a graph in MATLAB
10 Transport of reactive pollutants Students read pages from 47 to 63
11 Variations of dissolved oxygen concentration in rivers Students read pages from 47 to 63
12 MATLAB application: Streeter-Phelps equation Students read pages from 55 to 65
13 Sorption Students read pages from 55 to 65
14 Transport models for pollutants in soils Students read pages from 67 to 78

Textbook Khandan N.N., 2002, Modeling Tools for Engineers and Scientists, CRC press, New York, USA
Additional Resources Chapra S.C., Canale R.P., 2006, Numerical Methods for Engineers, McGraw Hill, USA

Assessment System Quantity Percentage
In-Term Studies
Mid-terms 1 90
Projects 2 10
In-Term Total 3 100
Contribution of In-Term Studies to Overall 50
Contribution of Final Exam to Overall 50
Total 100

Course's Contribution to PLO
No Key Learning Outcomes Level
1 2 3 4 5
1 Engineering graduates with application skills of fundamental scientific knowledge in the engineering practice. x
2 Determines, defines, formulates and solves problems in engineering; fort his aim selects and applies the appropriate analytical models and modeling techniques. x
3 Analyses a system, system component or process and in order to meet the requirements, designs under realistic conditions; thus applies modern techniques of design. x
4 Selects and uses modern techniques and devices necessary for engineering applications. x
5 Designs and carries out experiments, collects data, analyzes and comments on the findings.
6 Works effectively and individually on multi disciplinary teams. x
7 Accesses knowledge, and to do this, does research, uses databases and other data sources.
8 Is aware of the importance of lifelong learning; follows advances in science and technology and updates his knowledge continuously.
9 Uses communication and information technology at least at advanced level of European Computer Driving License
10 Communicates effectively both orally and in writing; uses a foreign language at least at B1 level of European Language Portfolio.
11 Communicates using technical drawing.
12 Has the awareness of Professional ethics and responsibility.
13 Has awareness about Project management, workplace applications, health of workers, environment and work security; and about legal consequences of engineering applications.
14 Indicates that he is aware of the universal and social effects of engineering solutions and applications; is aware of entrepreneurship and innovativeness and is knowledgeable about the problems of the current age. x
15 Makes use of conceptual and applied knowledge in mathematics, science and in his own area in accordance for engineering solutions.

Activities Quantity Duration (Hour) Total Work Load (h)
Course Duration 14 3 42
Hours for off-the-classroom study (Pre-study, practice) 7 3 21
Assignments 5 15 75
Projects 1 15 15
Laboratory 4 3 12
Mid-terms 1 3 3
Final examination 1 3 3
Total Work Load (h) 171
Total Work Load / 30 (h) 5.7
ECTS Credit of the Course 6