COURSE UNIT TITLE

: ENGINEERING MATHEMATICS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
ÇEV 2006 ENGINEERING MATHEMATICS 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
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-Rapson method
3 Root approximations: bi-section methods, Regula-falsi method
4 Solution of linear equation systems: Gauss elimination method
5 Solution of linear equation systems: Gauss-Seidel method, SOR method
6 Interpolation with finite differences
7 Curve fitting: 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, recap of topics

Recomended or Required Reading

Sayısal Analiz ve Mühendislik Uygulamaları, Karagöz, I., 2001,Vipaş, A.Ş., Bursa.
Numerical Analysis Using MATLAB and Excel, Karris, S.T., 2007, 3.baskı, Orchard
Publications.
Sayısal Çözümleme ve Örnekler, Çatal (Alku) S., 2004, 2.Baskı, DEÜ Mühendislik
Fakültesi Yayınları.

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*0.35+ASG *0.15+FIN * 0.50
5 RST RESIT
6 FCG FINAL COURSE GRADE MTE*0.35+ASG *0.15+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)

Department of Environmental Engineering, Room A226
Tel: (0232) 301 7112, E-mail: alper.elci@deu.edu.tr

Office Hours

Wednesdays 10:30-12:00

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 12 3 36
Preparing assignments 5 4,5 23
Preparations before/after weekly lectures 12 1,75 21
Preparation for midterm exam 2 9 18
Preparation for final exam 1 10 10
Final 1 2 2
Midterm 2 1,5 3
TOTAL WORKLOAD (hours) 113

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

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

Copyright 2012 DEÜ. BİD

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