COURSE UNIT TITLE

: DıFFERENTıAL EQUATıONS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
IMÖ 2002 DıFFERENTıAL EQUATıONS COMPULSORY 3 0 0 3

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR CENK KEŞAN

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

To teach differential equations and fundamental concepts, the classification of differential equations, initial-value and boundary-value problems, separable equations, homogeneous equations, equations reducible to homogeneous form, exact differential equations, equations reducible to exact form, first-order linear differential equations, Bernoulli and Riccati type differential equations, higher-degree first-order equations, second-order equations not involving one of the variables, applications of differential equations, numerical and graphical solutions of differential equations, higher-order differential equations, and linear differential equations and their solutions.

Learning Outcomes of the Course Unit

1   Formulate and solve differential equations
2   Construct a mathematical model
3   Understand the relationship between problems in science and engineering and differential equations
4   Identify application areas of derivatives
5   Determine the relationship between differential equations and other disciplines as well as 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 uniqueness theorem
3 Equations that can be separated into their variables
4 Homogeneous equations and geometrical problems
5 Exact differential equations and integrating factor
6 First-order linear differential equations
7 Bernoulli differential equation, Riccati differential equation
8 Course overview, evaluation, and midterm examination
9 Equations solvable through y' =p, C-discriminant p-discriminant, equations solvable through y
10 p-discriminant, equations solvable through y
11 Equations which can be solved through x, Clairaut 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

Students are assessed through midterm and final examinations in line with the learning outcomes.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

cenk.kesan@deu.edu.tr

Office Hours

Will be announced at the beginning of the semester.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 3 39
Preparations before/after weekly lectures 13 1 13
Preparation for midterm exam 1 10 10
Preparation for final exam 1 10 10
Final 1 1 1
Midterm 1 1 1
TOTAL WORKLOAD (hours) 74

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.14353545544
LO.243355555555
LO.34334435553
LO.44334534544
LO.54354534544

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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