COURSE UNIT TITLE

: NUMERICAL METHODS FOR ENVIRONMENTAL ENGINEERS

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
ÇEV 2406 NUMERICAL METHODS FOR ENVIRONMENTAL ENGINEERS COMPULSORY 3 0 0 5

Offered By

Environmental Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR EZGI OKTAV AKDEMIR

Offered to

Environmental Engineering

Course Objective

The course objective is to teach widely used numerical analysis techniques for the solution of equations that represent processes or problems in Engineering; to present applications in the field of Environmental Engineering and to implement the application of these techniques by the students to solve simple problems.

Learning Outcomes of the Course Unit

1   To be able to explain types of errors in numerical analysis
2   To be able to describe differences between numerical and analytical solutions of a mathematical problem
3   To be able to solve numerically non-linear equations with one unknown and linear equation systems
4   To be able to fit curves to data sets
5   To be able to apply regression
6   To be able to calculate numerical differentials and integrals
7   To be able to solve differential equations using numerical techniques
8   To be aware of the applications of numerical analysis techniques in Environmental Engineering

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction to numerical analysis. Advantages of numerical solution methods over analytical methods
2 Error and error types
3 Root approximations of single variable equations: Simple iteration and Newton-Raphson methods
4 Root approximations of single variable equations: Bi-section and Regula-Falsi methods
5 Solution of linear equation systems: Gauss elimination method
6 Approximate solution of linear equation systems: Gauss-Seidel method
7 Numerical differentiation
8 Numerical integration
9 Approximate solutions of differential equations: initial value problems
10 Approximate solutions of differential equations: boundary value problems
11 Curve fitting: Interpolation polynomes (1)
12 Curve fitting: Interpolation polynomes (2)
13 Regression analysis: least squares method (1)
14 Regression analysis: least squares method (2)

Recomended or Required Reading

Sayısal Analiz ve Mühendislik Uygulamaları, Karagöz, I., 2017, Dora Yayıncılık.
Numerical Analysis Using MATLAB and Excel, Karris, S.T., 2007, 3.baskı, Orchard Publications

Planned Learning Activities and Teaching Methods

Demonstrating the methods by solving examples in class;
Illustrating in-class engineering applications;
Applying the methods on the computer;
Giving homeworks and their solutions.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 ASG ASSIGNMENT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.30 + ASG * 0.20 + FIN * 0.50
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.20 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

Homeworks are due in one week before class begins. 20 out of 100 points will be deducted for late submissions of homeworks.

Contact Details for the Lecturer(s)

Assoc. Prof. Dr. Ezgi Oktav Akdemir
Department of Environmental Engineering, Room A212
Tel: (0232) 301 7109, E-mail: ezgi.oktav@deu.edu.tr

Prof. Dr. Alper Elçi
Department of Environmental Engineering, Room A223
Tel: (0232) 301 7112, E-mail: alper.elci@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 3 42
Preparation for midterm exam 1 12 12
Preparations before/after weekly lectures 13 2 26
Preparation for final exam 1 12 12
Preparing assignments 5 5 25
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 121

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.13
LO.253
LO.35
LO.45
LO.55
LO.65
LO.75
LO.8533