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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS ELECTIVE

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

The main purpose of this course is to teach linear equation systems, determinants, proper value and eigenvectors, characteristic polynomials, quadratic forms, inner product space and Euclid and unitary spaces to make applications related to them.

Learning Outcomes of the Course Unit

1   LO1. To be able to comprehend basic concepts related to algebraic structure. 2   LO2. To be able to make operations related to determinant and to be able to apply. 3   LO3. To be able to make operations related to proper value and eigenvectors and to be able to apply them. 4   LO4. To be able to make operations related to characteristic polynomials, quadratic forms, inner product space, Euclid and unitary space and apply them. 5   LO5. To be able to solve linear equation systems

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Algebraic structure, group, ring, and field 2 Introduction of Linear Equation Systems and Applications 3 Introduction of Linear Equation Systems and Applications 4 The concept of determinants and its applications 5 The concept of determinants and its applications 6 Proper value and eigenvectors 7 Proper value and eigenvectors 8 Course overview, evaluation and midterm examination 9 Characteristic polynomials and applications 10 Characteristic polynomials and applications 11 Quadratic forms and applications 12 Inner product space 13 Inner product space 14 Euclid and Unitary Spaces 15 Final Exam

Recomended or Required Reading

Hacısalihoğlu, H.H. , Lineer Cebir, 1996. Lipschutz, S. Tercüme: Sadık Dost, Teori ve Problemlerle Lineer Cebir , Güven Kitabevi Yayınları, Ankara, 1978.

Planned Learning Activities and Teaching Methods

Lecture, discussion, question-answer, observation, group work, working on a proposal for a research and presentation of it

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 *** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

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)

melike.koyunkaya@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 2 26 Preparations before/after weekly lectures 13 2 26 Preparation for midterm exam 1 5 5 Preparation for final exam 1 7 7 Preparing assignments 1 10 10 Final 1 1 1 Midterm 1 1 1 TOTAL WORKLOAD (hours) 76

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 PO.14 PO.15 PO.16 PO.17 PO.18 LO.1 5 5 3 LO.2 5 5 3 LO.3 5 5 3 LO.4 5 5 3 LO.5 5 5 3