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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS LME 2004 LINEAR ALGEBRA 2 COMPULSORY 2 0 0 3

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 vector spaces, linear dependency and independency, linear combinations, base and dimension, linear transformations, isomorph, matrix, operations related to matrix, finding rank, equivalent and inverse of matrix, linear equations systems, and elimination of Gauss and make applications related to them.

Learning Outcomes of the Course Unit

1   LO1. To be able to explain to concepts related to vector space. 2   LO2. To be able to explain the concepts of linear dependency and linear independence, base and dimension. 3   LO3. To be able to make operations related to matrix 4   LO4. To be able to explain the relations between matrix and linear transitions 5   LO5. To be able to solve linear equation systems and to explain geometrically

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 The definition of vector space and examples 2 Sub-vector space and examples 3 Linear dependency and independency and linear combinations 4 Base and dimension 5 Linear Transformations 6 Domain, range, image set in linear transitions 7 Isomorphy 8 Course overview, evaluation and midterm examination 9 Matrix concepts and it's properties 10 Sum and product of matrix 11 Finding the inverse of the matrix if it has and elementary operations 12 Solutions of non homogeneous linear equations 13 Solutions of homogeneous linear equations and probes 14 Elimination of Gauss 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 Midterm 1 1 1 Final 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