Dokuz Eylül University Information Package / Courses Catalog

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type Of Course	D	U	L	ECTS
MEN 3023	ENGINEERING MATHEMATICS	COMPULSORY	4	0	0	4

Offered By

Marine Engineering (English)

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSISTANT PROFESSOR MUSTAFA NURAN

Offered to

Marine Engineering (English)

Course Objective

The main goal of this fundamental mathematics course is to establish a way thinking that will bridge physical problems of engineering to differential equations. To supply the students the right tools to set up and handle these types of equations. To establish a sound basis for more advanced mathematical courses and engineering formation.

Learning Outcomes of the Course Unit

1	Analyze equations
2	Explain definitions and fundamental theorems.
3	Establish a way thinking that will bridge physical problems of engineering to differential equations.
4	Supply the students the right tools to set up and handle these types of equations.
5	Apply mathematical solution to physical and engineering applications.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week	Subject	Description
1	Introduction, 1st order linear differential equations, existence and uniqueness
2	Separable equations, change of variables, characteristic
3	Higher order linear differential equations
4	Method of change of parameters, reduction of order,
5	Equations with constant coefficients, method of undetermined coefficients
6	Euler-Cauchy equation, Legendre and Bessels equations
7	Euler-Cauchy equation, Legendre and Bessels equations
8	Power series method, solutions around regular singular points
9	Laplace transformations; definitions and fundamental theorems
10	Initial value theorems
11	Convolution integral and transfer function, Linear system of differential equations
12	Linear system of differential equations
13	Application on geometry
14	Application on problems

Recomended or Required Reading

1. W. E. Boyce and R. C. DiPrima, Elementary Differential Equations and Boundary Value Problems, 6th ed. John Wiley & Sons, 1997
2. Shepley L. Ross, Differential Equations, John Wiley New York, 1984
3. Clay C. Ross, Differential Equations: an introduction with Mathematica, New York, Springer-Verlag, 1995
4. Stephen W. Goode, An Introduction to Differential Equations and Linear Algebra, N. J. , Prentice Hall, 1991
5. Lawrence Perko, Differential Equations and Dynamical Systems, New York, Springer-Verlag, 1996

Planned Learning Activities and Teaching Methods

Cooperative and active teaching and learning strategies

Assessment Methods

SORTING NUMBER	SHORT CODE	LONG CODE	FORMULA
1	MTE	MIDTERM EXAM
2	FINS	FINAL EXAM
3	FCG	FINAL COURSE GRADE	MTE * 0.40 + FINS * 0.60
4	RST	RESIT
5	FCGR	FINAL COURSE GRADE (RESIT)	MTE * 0.40 + RST * 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

PO - LO matrices were created and the evaluation method was determined for each PO. Students are expected to obtain an average success score of 60 or above for each LO. In addition, in the course evaluation surveys, the program outcomes in the course objectives are expected to be 4 or above.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

mustafa.nuran@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Lectures	14	4	56
Preparations before/after weekly lectures	14	1	14
Preparation for midterm exam	1	8	8
Preparation for final exam	1	10	10
Preparation for quiz etc.	1	8	8
Preparing assignments	1	10	10
Final	1	2	2
Midterm	1	2	2
Quiz etc.	1	1	1
TOTAL WORKLOAD (hours)			111

Contribution of Learning Outcomes to Programme Outcomes

PO/LO	PO.1	PO.2	PO.3	PO.4	PO.5	PO.6
LO.1	5		5		5
LO.2	5		5
LO.3	5	5	5	5	5	5
LO.4					5	5
LO.5	5		5		5	5

COURSE UNIT TITLE

DEGREE PROGRAMMES

Description of Individual Course Units

Offered By

Level of Course Unit

Course Coordinator

Offered to

Course Objective

Learning Outcomes of the Course Unit

Mode of Delivery

Prerequisites and Co-requisites

Recomended Optional Programme Components

Course Contents

Recomended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods

Further Notes About Assessment Methods

Assessment Criteria

Language of Instruction

Course Policies and Rules

Contact Details for the Lecturer(s)

Office Hours

Work Placement(s)

Workload Calculation

Contribution of Learning Outcomes to Programme Outcomes

CONTACT INFORMATION