At the end of this course, the students; 1) Know basic concepts of matrix algebra and apply operations defined on matrixes 2) Understand solution methods of linear equation systems and appy them
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
No
COURSE DEFINITION
Matrices, 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 exam
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
RECOMENDED OR REQUIRED READING
D. 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
Total(%)
40
Contribution of In-term Studies to Overall Grade(%)
40
Contribution of Final Examination to Overall Grade(%)
60
Total(%)
100
ECTS WORKLOAD
Activities
Number
Hours
Workload
Midterm exam
1
1,5
1,5
Preparation for Quiz
Individual or group work
10
4
40
Preparation for Final exam
1
30
30
Course hours
13
3
39
Preparation for Midterm exam
1
25
25
Laboratory (including preparation)
Final exam
1
2
2
Homework
Total Workload
137,5
Total Workload / 30
4,58
ECTS Credits of the Course
5
LANGUAGE OF INSTRUCTION
Turkish
WORK PLACEMENT(S)
No
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)