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 ALPER ELÇI

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, error types and sources
2 Root approximations: simple iteration method, Newton-Raphson method
3 Root approximations: bi-section methods, Regula-falsi method
4 Solution of linear equation systems: direct and approximate methods
5 Numerical method applications in Environmental Engineering - 1
6 Interpolation with finite differences
7 Curve fitting with interpolation polinomes
8 Regression analysis: least squares method
9 Mid-term exam
10 Numerical differentiation
11 Numerical integration
12 Approximate solutions of differential equations: initial value problems
13 Approximate solutions of differential equations: boundary value problems
14 Approximate solutions of differential equations and numerical method applications in Environmental Engineering - 2

Recomended or Required Reading

Sayısal Analiz ve Mühendislik Uygulamaları, Karagöz, I., 2014, Nobel Akademik Yayıncılık.
Sayısal Çözümleme ve Örnekler, Çatal (Alku) S., 2013, 4.baskı, DEÜ Mühendislik Fakültesi Yayınları.
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 MTE1 MIDTERM EXAM 1
2 MTE2 MIDTERM EXAM 2
3 ASG ASSIGNMENT
4 FIN FINAL EXAM
5 FCG FINAL COURSE GRADE MTE1*0.175+MTE2 *0.175+ASG *0.15+FIN * 0.50
6 RST RESIT
7 FCG FINAL COURSE GRADE MTE 1*0.175+MTE 2 *0.175+ASG *0.15+RST * 0.50


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

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)

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

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 3 39
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 10 10
Preparation for final exam 1 15 15
Preparing assignments 5 5 25
0
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 119

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17PO.18PO.19PO.20
LO.1545
LO.2545
LO.35445
LO.45445
LO.554455
LO.654455
LO.75445
LO.84455