Course Name Code Semester T+U Hours Credit ECTS
Enviroenmental Modelling CVM 405 7 3 + 0 3 5
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Optional
Course Coordinator Prof.Dr. FATİH KARADAĞLI
Course Lecturers Prof.Dr. FATİH KARADAĞLI,
Course Assistants
Course Category
Course Objective Aim of this course is to teach fundamental principles and applications of mathematical modeling in environmental engineering
Course Content Fundamental principles of mathematical modeling will be presented along with applications in environmental engineering
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Student can predict future values of a given data set by the method of linear growth (or decay) Lecture, Question-Answer, Discussion, Brain Storming, Testing, Homework, Performance Task,
2 Student can predict future values of a given data set by the method of exponential growth (or decay) Drilland Practice, Motivations to Show, Group Study, Problem Solving, Testing, Homework, Performance Task,
3 Student can write mass balance equations for a conservative substance in a control- volume Lecture, Question-Answer, Discussion, Brain Storming, Testing, Homework, Performance Task,
4 Student can mass balance equation for a reactive substance in a control volume Lecture, Question-Answer, Discussion, Demonstration, Testing, Homework, Performance Task,
5 Student can solve mass balance equations to compute steady-state values Lecture, Question-Answer, Motivations to Show, Simulation, Lab / Workshop, Testing, Homework, Performance Task,
6 Student can evaluate computes steady state values and provides feed-back Question-Answer, Drilland Practice, Motivations to Show, Testing, Homework, Performance Task,
Week Course Topics Preliminary Preparation
1 General look into mathematical modeling and presentation of various examples from different scientific fields
2 Explanation of linear and geometric equations and their applications
3 Prediction of populations, energy demand, etc. using mathematical modeling
4 Fundamentals of mathematical modeling. Explanation of mass balance and control volume phenomena
5 Introduction to reactors and reactions
6 Modeling reactions in batch reactors
7 Applications to growth tube, beaker, lake etc.
8 Modeling continuous flow reactors
9 Modeling applications in continuous reactors with inflow and outflow
10 Modeling principles for plug-flow reactor
11 Applications in river like plug-flow reactors
12 Main principles of modeling of microbial reactions
13 Modeling applications in actıvated sludge-type systems
14 General discussion and examples of ground water modeling
Course Notes
Course Resources Surface Water-Quality Modeling (Steven C. Chapra McGraw-Hill)
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Engineering graduates with sufficient knowledge background on science and engineering subjects of their related area, and who are skillful in implementing theoretical and practical knowledge for modelling and solving engineering problems. X
2 Engineering graduates with skills in identifying, describing, formulating and solving complex engineering problems, and thus,deciding and implementing appropriate methods for analyzing and modelling. X
3 Engineering graduates with skills in designing a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; for this purpose, skills in implementing modern design methods.
4 Engineering graduates with skills in developing, selecting and implementing modern techniques and tools required for engineering applications as well as with skills in using information technologies effectively. X
5 Engineering graduates with skills in designing and conducting experiments, collecting data, analyzing and interpreting the results in order to evaluate engineering problems.
6 Engineering graduates who are able to work within a one discipline or multi-discipline team,as well as who are able to work individually
7 Engineering graduates who are able to effectively communicate orally and officially in Turkish Language as well as who knows at least one foreign language.
8 Engineering graduates with motivation to life-long learning and having known significance of continuous education beyond undergraduate studies for science and technology.
9 Engineering graduates with well-structured responsibilities in profession and ethics.
10 Engineering graduates having knowledge about practices in professional life such as project management, risk management and change management, and who are aware of innovation and sustainable development. X
11 Engineering graduates having knowledge about universal and social effects of engineering applications on health, environment and safety, as well as having awareness for juridical consequences of engineering solutions.
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 60
1. Ödev 10
1. Performans Görevi (Uygulama) 15
2. Performans Görevi (Uygulama) 15
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 2 32
Mid-terms 1 10 10
Assignment 1 10 10
Performance Task (Application) 2 5 10
Final examination 1 10 10
Total Workload 120
Total Workload / 25 (Hours) 4.8
dersAKTSKredisi 5