Information Package

Elementary Mathematics Education Program

EMT205

LINEAR ALGEBRA I

Course Code
EMT205
Semester
Third Term (Fall)
Theory+Practice
3 + 0
ECTS
5
Course TypeCompulsory Course
Course LevelBachelor's Degree
Year of Study2
SemesterThird Term (Fall)
ECTS5
Name of Lecturer(s)
Learning Outcomes

At the end of this course, the students;

  1. Will be able basic concepts of matrix algebra and apply operations defined on matrixes.
  2. Understand solution methods of linear equation systems and appy them.
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme ComponentsNone
Course DescriptionMatrices, operations on matrices, special types of matrices; elementary operations, isochronous matrix, elementary matrices and inverse of a matrix, rank of a matrix; determinant, properties of determinant function; systems of linear equations, methods of solving systems of linear equations (Gaussian elimination, Gauss-Jordan reduction, inverse matrix and cramer method).
Course Contents
WEEK TOPICS
1st Week Matrices
2nd Week Special type square matrices
3rd Week Elementary operations in matrices
4th Week Elementary operations in matrices
5th Week Elementary operations and elementary matrices
6th Week Elementary operations and elementary matrices
7th Week Calculation of the inverse of a matrix
8th Week Midterm
9th Week Determinants, rank of matrix
10th Week Determinants
11th Week Cramer's rule, cofactor expansion and calculation properties
12th Week Linear systems of equations
13th Week Gaussian elimination method and Gauss-Jordan reduction methods
14th Week Inverse matrix and Cramer method
15th Week General review
Recommended or Required ReadingD. Taşcı, Lineer Cebir, Öziş Matbacılık, 2017
Lineer Cebir, Arif SABUNCUOĞLU, Ankara 2008
Planned Learning Activities and Teaching Methods
  • Lecture
  • Questions/Answers
  • Problem Solving
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 40
Quiz 1 10
Total(%) 50
Contribution of In-term Studies to Overall Grade(%) 50
Contribution of Final Examination to Overall Grade(%) 50
Total(%) 100
ECTS Allocated Based on Student Workload
Activities Quantity Duration (Hour) Total Workload (Hour)
Midterm exam 1 2 2
Preparation for Quiz 1 5 5
Individual or group work 13 3 39
Preparation for Final exam 1 30 30
Course hours 13 3 39
Preparation for Midterm exam 1 30 30
Laboratory (including preparation)
Final exam 1 2 2
Homework
Quiz 1 2 2
Total Work Load149
Total Work Load / 30 (h)4.96
ECTS Credit of the Course5
Language of InstructionTurkish
Work Placement(s)No
LO1 LO2
K1
K2
K3
K4
K5
K6
K7
K8
K9 X X
K10 X X