İlköğretim Matematik Öğretmenliği
Lisans	Programın Süresi: 4	Kredi Sayısı: 240	TYYÇ: 6. Düzey	QF-EHEA: 1. Düzey	EQF: 6. Düzey

Ders Genel Tanıtım Bilgileri

School/Faculty/Institute

Faculty of Education

Course Code

MATH 332

Course Title in English

Differential Equations

Course Title in Turkish

Differential Equations

Language of Instruction

Type of Course

Flipped Classroom

Level of Course

Seçiniz

Semester

Güz

Contact Hours per Week

Lecture: 4 hours

Recitation:

Lab:

Other:

Estimated Student Workload

168 hours per semester

Number of Credits

7 ECTS

Grading Mode

Standard Letter Grade

Pre-requisites

MATH 134 - Advanced Calculus

Expected Prior Knowledge

Prior knowledge of differentiation and integration of single and multivariable functions is required.

Co-requisites

None

Registration Restrictions

Only Undergraduate Students

Overall Educational Objective

To learn the methods of solution of ordinary differential equations.

Course Description

This course introduces ordinary differential equations, discusses their methods of solutions and introduces vector-valued functions Topics include: First order differential equations, second order linear differential equations, higher order linear differential equations, series solutions of linear differential equations, initial value problems, Laplace transforms and systems of first order linear differential equations. Vector-valued functions, the divergence and curl of vector-valued functions and their geometric applications.

Course Description in Turkish

Bu ders diferansiyel denklemleri, onların çözüm yöntemlerini ve vektör-değerlikli fonksiyonları kapsar. Kapsanan konular: Birinci mertebeden diferansiyel denklemler, ikinci mertebeden diferansiyel denklemler, yüksek mertebeden diferansiyel denklemler, diferansiyel denklemlerin seri çözümü, başlangıç değer problemleri, Laplace dönüşümü ve birinci mertebeden diferansiyel denklem sistemleri. Vektör-değerlikli fonksiyonlar, diverjans, rotasyonel işlemleri ve geometric uygulamaları.

Course Learning Outcomes and Competences

Upon successful completion of the course, the learner is expected to be able to:
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2)
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7)

Program Learning Outcomes/Course Learning Outcomes	1	2	3	4	5	6	7
1) Apply effective and student-centered specific teaching methods and strategies in order to improve students’ mathematical thinking and problem solving skills.
2) Design lesson plans based on how students learn mathematics and students’ difficulties in learning mathematics.
3) Demonstrate knowledge in various areas of mathematics (such as analysis, algebra, linear algebra, geometry, topology, mathematical modeling, statistics and probability, differential equations) and nature of science and mathematics.
4) Display knowledge and skills in developing programs, teaching technologies and materials in order to teach mathematics in effective and meaningful ways based on student needs.
5) Evaluate and assess students’ individual developmental paths, difficulties in understanding mathematics in multiple ways and use assessment results in improving teaching and learning.
6) Have an awareness of students’ social, cultural, economic and cognitive differences and plan the lessons and activities based on this awareness.
7) Collaborate and respectively communicate with colleagues and student parents such that students learn mathematics in best ways and at the same time feel happy and safe. Work effectively within teams of their own discipline and multi-disciplinary as well as take individual responsibility when they work alone.
8) Have awareness of need for life-long learning. Access information and following developments in education, science and technology. Display skills of solving problems related to their field, renew and improve themselves and critically analyze and question their own work. Use information technologies in effective ways.
9) Use scientific investigation effectively to solve problems in mathematics teaching and learning based on scientific methods. Critically investigate, analyze and make a synthesis of data, and develop solutions to problems based on data and scientific sources.
10) Exhibit skills of communicating effectively in oral and written Turkish and command of English at least at B2 general level of European Language Portfolio.
11) Have awareness of and sensitivity to different cultures, values and students’ democratic rights.
12) Display ethical and professional responsibilities. Have awareness of national and universal sensitivities that are expressed in National Education Fundamentals Laws.
13) Demonstrate consciousness and sensitivity towards preserving nature and environment in the process of developing lesson activities.
14) Display knowledge in national culture and history as well as international cultures and recognize their richness. Have awareness of and participate to developments in society, culture, arts and technology.

Relation to Program Outcomes and Competences

N None	S Supportive	H Highly Related

	Program Outcomes and Competences	Level	Assessed by
1)	Apply effective and student-centered specific teaching methods and strategies in order to improve students’ mathematical thinking and problem solving skills.	S
2)	Design lesson plans based on how students learn mathematics and students’ difficulties in learning mathematics.	S	Exam
3)	Demonstrate knowledge in various areas of mathematics (such as analysis, algebra, linear algebra, geometry, topology, mathematical modeling, statistics and probability, differential equations) and nature of science and mathematics.	H	Exam,Participation
4)	Display knowledge and skills in developing programs, teaching technologies and materials in order to teach mathematics in effective and meaningful ways based on student needs.	S
5)	Evaluate and assess students’ individual developmental paths, difficulties in understanding mathematics in multiple ways and use assessment results in improving teaching and learning.	S	Exam
6)	Have an awareness of students’ social, cultural, economic and cognitive differences and plan the lessons and activities based on this awareness.	S
7)	Collaborate and respectively communicate with colleagues and student parents such that students learn mathematics in best ways and at the same time feel happy and safe. Work effectively within teams of their own discipline and multi-disciplinary as well as take individual responsibility when they work alone.	H	Participation
8)	Have awareness of need for life-long learning. Access information and following developments in education, science and technology. Display skills of solving problems related to their field, renew and improve themselves and critically analyze and question their own work. Use information technologies in effective ways.	S	Participation
9)	Use scientific investigation effectively to solve problems in mathematics teaching and learning based on scientific methods. Critically investigate, analyze and make a synthesis of data, and develop solutions to problems based on data and scientific sources.	N
10)	Exhibit skills of communicating effectively in oral and written Turkish and command of English at least at B2 general level of European Language Portfolio.	S	Participation
11)	Have awareness of and sensitivity to different cultures, values and students’ democratic rights.	N
12)	Display ethical and professional responsibilities. Have awareness of national and universal sensitivities that are expressed in National Education Fundamentals Laws.	N
13)	Demonstrate consciousness and sensitivity towards preserving nature and environment in the process of developing lesson activities.	N
14)	Display knowledge in national culture and history as well as international cultures and recognize their richness. Have awareness of and participate to developments in society, culture, arts and technology.	N

Prepared by and Date	CANFUAD DELALE ,
Course Coordinator	BENGİ BİRGİLİ
Semester	Güz
Name of Instructor	Prof. Dr. AYŞE SOYSAL

Course Contents

Hafta	Konu
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Required/Recommended Readings

W.E. Boyce and R.C. DiPrima, Elementary Differential Equations and Boundary Value Problems, Tenth Ed., Wiley, 2013.

Teaching Methods

Lectures/contact hours using “flipped classroom” as an active learning technique

Homework and Projects

Laboratory Work

Computer Use

Other Activities

Assessment Methods

Assessment Tools	Count	Weight
Arazi Çalışması	28	% 20
Küçük Sınavlar	2	% 20
Ara Sınavlar	3	% 60
TOTAL		% 100

Course Administration

cafuat.delale@mef.edu.tr

Instructor’s office and phone number: 5th Floor, (0212) 3953651 office hours: Wednesday 13:00-15:00 email address: canfuat.delale@mef.edu.tr Rules for attendance: Classroom practice contributes to 20% of the final grade. Missing a quiz: Provided that proper documents of excuse are presented, each missed quiz by the student will be given a grade by taking the average of all of the other quizzes. No make-up will be given. Missing a midterm: Provided that proper documents of excuse are presented, each missed midterm by the student will be given a grade by taking the average of all of the other midterm exams. No make-up will be given. A reminder of proper classroom behavior, code of student conduct: YÖK Regulations Statement on plagiarism: YÖK Regulations (http://www.mef.edu.tr/icerikler/files/lisans_onlisans_yonetmelik%20(1.pdf)

ECTS Student Workload Estimation

Activity	No/Weeks	Hours			Calculation
	No/Weeks per Semester	Preparing for the Activity	Spent in the Activity Itself	Completing the Activity Requirements
Ders Saati	14	2	4	2	112
Küçük Sınavlar	2	6	1		14
Ara Sınavlar	3	12	2		42
Total Workload					168
Total Workload/25					6.7
ECTS					7