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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MTE 2116 DIFFERANTIAL EQUATIONS COMPULSORY 2 2 0 4

Offered By

Marine Transportation Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

DOCTOR EMIN DENIZ ÖZKAN

Offered to

Marine Transportation Engineering

Course Objective

1. To form a sound basis for advanced mathematics, 2. To develop skills for solving problems.

Learning Outcomes of the Course Unit

1   Definitions, 1st order linear differential equations, existence and uniqueness, 2   Separable equations, change of variables, characteristic, higher order linear 3   Method of change of parameters, reduction of order, equations with constant 4   Euler-Cauchy equation, Legecndre and Bessel s equations 5   Power series method, solutions around regular-singular points, Laplace 6   Laplace transformations; definitions and fundamental theorems 7   Initial value problems, convolution integral and transfer function 8   Linear system of differential equations, 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 Classification of differential equations. Exact Differential Equations. Non- Exact Differential Equations. 2 Separable Differential Equations, Homogeneous Differential Equations. 3 Exact Differential Equations, Linear differential Equations 4 Bernoulli Differential Equations, Integrating Factor General 5 Special Transforms 6 Rewiev 7 Midterm 8 Second Order Diff. Eq., Reduction of Order. Homogeneous 9 Theory of Higher Order Linear Differential Equations, Linear Dependence and Independence, Representation of Solutions for Homogeneous and Nonhomogeneous Case. 10 Solution of Non-homogeneous Differential Equations: Method of Undetermined Coefficients 11 Method of Variation of Parameters 12 Cauchy Euler Differential Equations 13 Rewiev 14 Final

Recomended or Required Reading

Introduction to Ordinary Differential Equations; by Shepley L. Ross. Fourth Edition, John Wiley and Sons.

Planned Learning Activities and Teaching Methods

Literature review , Solving problems , Presentation and discussion , Assignments , Case studies

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

Further Notes About Assessment Methods

None

Assessment Criteria

In relation to Differential Equations topics at undergraduate level , skills and competencies in having knowledge , research, interpretation, verbal and written expression, solving problems will be evaluated.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Dr. Emin Deniz Özkan deniz.ozkan@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 14 2 28 Tutorials 14 2 28 Preparations before/after weekly lectures 14 2 28 Preparation for midterm exam 1 4 4 Preparation for final exam 1 4 4 Midterm 1 3 3 Final 1 3 3 TOTAL WORKLOAD (hours) 98

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 PO.14 PO.15 PO.16 PO.17 LO.1 5 3 5 5 5 5 LO.2 5 3 5 5 3 5 3 5 LO.3 5 5 5 3 5 LO.4 5 5 5 5 3 3 3 5 LO.5 5 3 3 3 3 5 LO.6 3 3 5 5 LO.7 3 5 5 5 LO.8 3 5