rezentas@uludag.edu.tr 0224 2942287 Uludağ Üniversitesi Eğitim Fakültesi, E Blok, Matematik ve Fen Bilimleri Bölümü, Matematik Eğitimi ABD.
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Website:
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Objective of the Course:
Students improve the ability of abstract thinking, the concepts of matrices and determinants intensified vector space, to create the basis for algebra classes.
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Contribution of the Course to Professional Development
Creates and develops the knowledge base of the prospective teacher. Comprehends the concepts related to the field and the relations between concepts based on the competencies gained in secondary education. Have defines and analyzes problems related to his field, and develops solutions based on evidence and research.
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Learning Outcomes:
1
Gains the skill abstract thinking.;
2
Solves systems of linear equations using matrices and determinants.;
3
Consolidates the concept of vector space with the matrix and determinant.;
4
Understand the structure of vector space and subspace.;
5
Vectors in a vector space understands the concepts of linear dependence and linear independence.;
6
Understands the concept of a vector space basis and dimension.;
7
Establishes the relationship between the dimension of the row space.and a rank of matrix ;
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Course Content:
Week
Theoretical
Practical
1
Introducing the course, Matrix theory
2
Matrix operations, primitive row and column operations
3
Rank of a Matrix, Inverse of a square matrix
4
Determinants
5
Determinants
6
Systems of linear equations
7
Systems of linear equations
8
General Repetition and Midterm Exam
9
Vector spaces, subspaces
10
Subspace of a cluster stretch
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Linear dependence and linear independence
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A vector space and dimension of base
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Spaces of a matrix of rows and columns
14
General Repetition
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Textbooks, References and/or Other Materials:
Editör: Orhan ÖZER (1998), Matematik Öğretmenliği Lineer Cebir, Anadolu Üniversitesi Açık Öğretim Fakültesi Yayınları No:589. H.Hilmi Hacısalihoğlu (2000) Lineer Cebir I, , Hacısalihoğlu Yayıncılık, Bernard Kolman;(2004) Elementary Linear Algebra; Fifth Edition,
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Assesment
TERM LEARNING ACTIVITIES
NUMBER
PERCENT
Midterm Exam
1
40
Quiz
0
0
Homeworks, Performances
0
0
Final Exam
1
60
Total
2
100
Contribution of Term (Year) Learning Activities to Success Grade
40
Contribution of Final Exam to Success Grade
60
Total
100
Measurement and Evaluation Techniques Used in the Course
Techniques such as lecture, discussion, question-answer, 3E are used in the teaching of the course. Midterm and final exams are taken into consideration in the measurement and evaluation of the course.
Information
Results are determined with the letter grade determined by the student automation system.
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ECTS / WORK LOAD TABLE
Activites
NUMBER
TIME [Hour]
Total WorkLoad [Hour]
Theoretical
14
2
28
Practicals/Labs
0
0
0
Self Study and Preparation
10
9
90
Homeworks, Performances
0
0
0
Projects
0
0
0
Field Studies
0
0
0
Midtermexams
1
1
1
Others
0
0
0
Final Exams
1
1
1
Total WorkLoad
120
Total workload/ 30 hr
4
ECTS Credit of the Course
4
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CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
