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 239

Course Title in English

Linear Algebra

Course Title in Turkish

Linear Algebra

Language of Instruction

Type of Course

Flipped Classroom

Level of Course

Seçiniz

Semester

Güz

Contact Hours per Week

Lecture: 3

Recitation:

Lab:

Other:

Estimated Student Workload

145 hours per semester

Number of Credits

7 ECTS

Grading Mode

Standard Letter Grade

Pre-requisites

MATH 139 - Introduction to Discrete Mathematics

Expected Prior Knowledge

None

Co-requisites

None

Registration Restrictions

Only Undergraduate Students

Overall Educational Objective

To learn the fundamentals of matrix theory and linear algebra relevant to engineering problems.

Course Description

This course provides general concepts on linear algebra by covering the following topics: Systems of linear equations and matrices, Gaussian elimination, matrix algebra, inverse of a matrix, elementary matrices, LU-factorization, the determinant of a square matrix, the properties of determinants, Cramer’s rule, vector spaces, subspaces, linear independence, basis and dimension, change of basis, inner product spaces, orthonormal basis, linear transformations, matrix representations of linear transformations, eigenvalues and eigenvectors, diagonalization.

Course Description in Turkish

Bu derste lineer cebir genel kavramları şu konu başlıkları altında incelenmektedir: Lineer denklem sistemleri ve matrisler, Gauss eliminasyon yöntemi, matris cebri, bir matrisin tersi, elemanter matrisler, LU ayrıştırma, bir kare matrisin determinantı, determinantın özellikleri, Cramer kuralı, vektör uzayları, alt uzaylar, lineer bağımsızlık, baz ve boyut, baz değişimi, iç çarpım uzayları, ortonormal baz, lineer dönüşümler, lineer dönüşümün matris temsili, özdeğerler ve özvektörler, köşegenleştirme.

Course Learning Outcomes and Competences

Upon successful completion of the course, the learner is expected to be able to:
1)
2)
3)
4)
5)
6)

Program Learning Outcomes/Course Learning Outcomes	1	2	3	4	5	6
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.	N
2)	Design lesson plans based on how students learn mathematics and students’ difficulties in learning mathematics.	N
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,Project
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.	H	Project
5)	Evaluate and assess students’ individual developmental paths, difficulties in understanding mathematics in multiple ways and use assessment results in improving teaching and learning.	N
6)	Have an awareness of students’ social, cultural, economic and cognitive differences and plan the lessons and activities based on this awareness.	N
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	Seçiniz,Participation,Project
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	Seçiniz,Participation,Project
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,Project
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	HASAN KÖRÜK ,
Course Coordinator	BENGİ BİRGİLİ
Semester	Güz
Name of Instructor	Prof. Dr. MUSTAFA LUTFİ ÖVEÇOĞLU

Course Contents

Hafta	Konu
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Required/Recommended Readings

David C. Lay et al., Linear Algebra and Its Applications, Pearson, 5th edition/Global edition, 2016. Elementary Linear Algebra, Ron Larson, Cengage Learning, 7th or 8th edition (ebook or hardcopy).

Teaching Methods

Lectures using “flipped classroom” as an active learning technique.

Homework and Projects

Online quizzes/HWs will be assigned.

Laboratory Work

Computer Use

Other Activities

Assessment Methods

Assessment Tools	Count	Weight
Uygulama	8	% 12
Küçük Sınavlar	5	% 13
Ara Sınavlar	2	% 75
TOTAL		% 100

Course Administration

korukh@mef.edu.tr

Dr. Hasan Körük Instructor’s office and phone number: A Block-5th Floor / 0212 3953654 Office hours: Monday 10:00-12:00 Email address: korukh@mef.edu.tr Dr. Leyla Parlar Ateş Instructor’s office and phone number: A Block-4th Floor / 0212 3953600 Office hours: Wednesday 13:00-15:00 Email address: atesl@mef.edu.tr Rules for attendance: Classroom participation contributes to 12% of the final grade. Missing a quiz/HW: No make-up will be given. Missing a midterm: Provided that proper documents of excuse are presented, make-up will be given. A reminder of proper classroom behavior, code of student conduct: YÖK Regulations. Academic dishonesty and plagiarism: YÖK Regulations.

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	3	1	84
Ödevler	3	2	1		9
Küçük Sınavlar	2	2	1		6
Ara Sınavlar	2	20	3		46
Total Workload					145
Total Workload/25					5.8
ECTS					7