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IMO 211 - Linear Algebra

Faculty of Education · Secondary School Mathematics Education · Undergraduate

ECTS: 3 T+P+L: 2+0+0 Compulsory
Coordinator: Dr. Öğr. Üyesi Elif KAYA
Instructors: Dr. Öğr. Üyesi Elif KAYA

Course Objective

To improve the ability of abstract thinking, by intensifying the concepts of matrices and determinants and the solutions of systems of linear equations to create the basis for algebra classes.

Course Content

Matrices, Matrix operations, special type matrices; elementary row and column operations, echelons matrix, elementary matrix and the inverse of a matrix; the rank of a matrix; determinant, properties of determinant function; systems of linear equations, solution techniques (Gauss elimination, Gauss-Jordan reduction method, inverse matrix, and Cramer method)

Required Resources

1. Göksel AĞARGÜN, Hülya BURHANZADE Lineer Cebir ve Çözümlü Problemleri, Birsen Yayınevi, 2017.                                                                                                                                                                

2.Bernard Kolman, David R. Hill, Uygulamalı Lineer Cebir, Palme Yayıncılık, 2010. 

3. Salim Yüce, Lineer Cebir, Pegem Akademi, Ankara, 2015

Recommended Resources

4. Hacısalihoğlu, H.H., Lineer Cebir I ,Bilim Yayınları, Ankara,2000

5 .Lineer Cebir,(2. baskıdan çeviri ),Schaum's outlines Series, Nobel Yayın Dağıtım,Ankara ,1990

6.Arif Sabuncuoğlu, Lineer Cebir,Nobel Yayınları ,Ankara ,2008

7.Kenneth Kuttler , An introduction to lineer algebra, 2009

blishing Company New York,1979

Rules

In order to calculate the student's grade, the final grade must be at least 30 points. in addition to this in order to enter the final exam, also the attendance must be at least 70%.

Course Learning Outcomes

  1. The student knows how to find inverse of a given matrix.
  2. The student solves system s of linear equations using matrices and determinants.
  3. The student understands the relation between matrices and linear systems
  4. The student applies solution techniques to linear equation systems
  5. The student knows the relationship between rank of matrix, determinants and invertibility

Core Area Distribution

(46) Mathematics and Statistics%100

Teaching Methods

ExpressionQuestion-AnswerSelf studyProblem Solving

Assessment & Evaluation

Testing (Essay / Tests: True-Falls, multiple-choice, short answer, matching)

ECTS / Workload

ActivityQuantityDuration (h)Total Workload
Course Duration (Including Exam Week)14228
Out of Class Study Period13226
Midterm11111
Quiz000
Assignment000
Practice000
Final11010

Course Schedule

WeekSubjectPreparation
1Matrices and matrix typesA preliminary study on the relevant chapter
2Matrix operations and elementary row/column operationsA preliminary study on the relevant chapter
3Types of MatrixA preliminary study on the relevant chapter
4Elementary row and column operations, Echelon matrixA preliminary study on the relevant chapter
5rank of a matrixA preliminary study on the relevant chapter
6Inverse of a matrixA preliminary study on the relevant chapter
7Determinants and properties of determinant functionsA preliminary study about the related section
8midterm
9Determinants and properties of determinant functionsA preliminary study on the relevant chapter
10Finding the inverse of a matrix using the adjoint matrix methodA preliminary study on the relevant chapter
11Determinant applicationsA preliminary study on the relevant chapter
12Systems of linear equations, Gauss elimination, Gauss-Jordan reductionA preliminary study on the relevant chapter
13Systems of linear equations, Gauss elimination, Gauss-Jordan reductionA preliminary study on the relevant chapter
14Methods for solving systems of linear homogeneous equations Cramer method, Solving by inverse of coefficient matrixMethods for solving systems of linear homogeneous equations Cramer method, Solving by inverse of coefficient matrix
15Methods for solving systems of linear homogeneous equations Cramer method, Solving by inverse of coefficient matrixA preliminary preparation from essential source 1 about the relevant section.
16FinalFinal