Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
MAT1042011131LİNEAR ALGEBRA -IICompulsory125
Level of Course Unit
First Cycle
Objectives of the Course
To develop the ability to think and to interpret correctly and to give people basic information about mathematics.
Name of Lecturer(s)
Dr. Canan Çiftçi
Learning Outcomes
1Students who successfully complete this course will develop the right thinking and the ability to comment and students will gain basic knowledge about mathematics.
Mode of Delivery
Formal Education
Prerequisites and co-requisities
Recommended Optional Programme Components
Course Contents
Matrices and linear transformations. Elementary operations, elementary operations of parallel row vectors of matrices , rank and inverse of a matrix. The concept of permutation. Determinant function, rank of determinant of a matrix, the determinant of a linear transformation. Systems of linear equations. The three-dimensional space vector multiplication, properties of vector multiplication, Vectorial product, mixed product and its applications. The characteristic polynomial of a matrix. Dual space, dual basis, dual of dual of a space, features of dual space.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Matrices and linear transformations
2Elementary operations
3Elementary operations of parallel row vectors of matrices
4Rank and inverse of a matrix.
5The concept of permutation
6Determinant function
7Rank of determinant of a matrix
8Midterm exam
9The determinant of a linear transformation
10Systems of linear equations
11The three-dimensional space vector multiplication, properties of vector multiplication
12Mixed product and its applications
13The characteristic polynomial of a matrix
14Dual space, dual basis
15Dual of dual of a space, features of dual space
16Final exam
Recommended or Required Reading
1.Schaum’s outlıne series Theory and problems LINEAR ALGEBRA 2.Linear Algebra. Hofman KUNZE. 3.Linear Algebra with application, Bernard Kolman, David R. Hill.
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
SUM0
End Of Term (or Year) Learning ActivitiesQuantityWeight
SUM0
Yarıyıl (Yıl) İçi Etkinlikleri40
Yarıyıl (Yıl) Sonu Etkinlikleri60
SUM100
Language of Instruction
Turkish
Work Placement(s)
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Attending Lectures14456
Self Study14342
Individual Study for Homework Problems14228
Individual Study for Mid term Examination11010
Individual Study for Final Examination11313
TOTAL WORKLOAD (hours)153
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
LO13454344
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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