COURSE UNIT TITLE

: DIFFERENTIAL EQUATIONS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
LME 3007 DIFFERENTIAL EQUATIONS COMPULSORY 3 0 0 3

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR CENK KEŞAN

Offered to

Mathematics Teacher Education

Course Objective

To introduce differential equations and basic concepts, classification of differential equations, initial-value and boundary-value problems, equations that can be separated into variables, homogeneous equations, homogeneous transformable equations, exact differential equations, equations that can be converted to exact differential equations, linear differential equations of first order, Bernoulli and Riccati type differential equations, first order high order equations, second order equations without one of the variables, applications of differential equations, numerical and graphical solutions of differential equations, high order differential equations and linear differential equations and solutions.

Learning Outcomes of the Course Unit

1   To be able to construct differential equations and to solve them
2   To be able to construct mathematical model
3   To be able to understand relation between problems in science and engineering, with differential equations
4   To be able to learn application area of derivative
5   To be able to determine the relationship of differential equations with other disciplines and everyday life.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Definitions related to differential equations and constructing differential equations
2 Existence and unity theorem
3 Equations which can be separate to its variables
4 Homogeny equations and geometrical problems
5 Exact differential equations and integration factor
6 Linear differential equations of the first degree
7 Bernoulli differential equation, Riccati differential equation,
8 Course overview, evaluation and midterm examination
9 Equations which can be solved through y =p, C-discriminant
10 p- discriminant, equations which can be solved through y
11 Equations which can be solved through x, Clairant differential equation, Lagrange differential equation
12 Orthogonal trajectory, non- orthogonal trajectory, applications of problems
13 Introduction to higher-order theory of linear ordinary differential equations
14 Solutions of differential equations with series
15 Final exam

Recomended or Required Reading

Adi Diferansiyel Denklemler, 2. Basım, Mehmet ÇAĞLIYAN, Nisa ÇELIK , Setenay DOĞAN, , Dora Yayın Basım Ltd., Bursa, 2008.
Diferansiyel Denklemler ve Uygulamaları, 6. Baskı, Mehmet AYDIN, Beno KURYEL, Gönül GÜNDÜZ, Galip OTURANÇ, E.Ü. Mühendislik Fakültesi Yayınları, Izmir, 2003.
Diferansiyel Denklemler-I ve Çözümlü Problemler, Mehmet SEZER, Göksu Ofset, Izmir, 1990.
Yüksek Matematik, 3. Baskı, Ahmet KARADENIZ, Çağlayan Basımevi, Istanbul, 1983.

Planned Learning Activities and Teaching Methods

lecture based instruction, question-answer, group working

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Midterm
2 FN Semester final exam
3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60
4 BUT Make-up note
5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

cenk.kesan@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 8 8
Preparation for final exam 1 8 8
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 85

Contribution of Learning Outcomes to Programme Outcomes

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LO.2155111111111211211
LO.3555131111111211211
LO.4555131111111211211
LO.5115131111111211211

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

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