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FACULTY of SCIENCE / DEPARTMENT of STATISTICS and COMPUTER SCIENCES /
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MAT1017Linear Algebra4+0+0ECTS:6
Year / SemesterFall Semester
Level of CourseFirst Cycle
Status Compulsory
DepartmentDEPARTMENT of STATISTICS and COMPUTER SCIENCES
Prerequisites and co-requisitesNone
Mode of DeliveryFace to face
Contact Hours14 weeks - 4 hours of lectures per week
LecturerProf. Dr. Osman KAZANCI
Co-LecturerAssoc. Prof. Dr. Funda Karaçal
Language of instructionTurkish
Professional practise ( internship ) None
 
The aim of the course:
To provide the students with a general knowledge on mathematical approach and the basics of linear algebra.
 
Learning OutcomesCTPOTOA
Upon successful completion of the course, the students will be able to :
LO - 1 : recognize the notions of a linear space , a matrix and a system of linear system of equations5,61
LO - 2 : recognize the rank of a matrix5,61
LO - 3 : explain the notions of the geometry of Euclidean space5,61
LO - 4 : explain the notions of a bilinear form and a linear operator and use the definitions to prove basic facts about them5,61
CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome

 
Contents of the Course
Lineer spaces; Marrices; Rank of a matrix; A system of linear equations; The method of Gauss; Permutations; Determinants; Minors; Inverse matrices; Euclidean spaces; Linear and bilinear forms; Linear operators; Eigen-values and eigen- vectors
 
Course Syllabus
 WeekSubjectRelated Notes / Files
 Week 1Lineer spaces
 Week 2Matrices
 Week 3Rank of a matrix
 Week 4The system of linear equations
 Week 5The method of Gauss
 Week 6Permutations
 Week 7Determinants
 Week 8Minors
 Week 9Mid-term exam
 Week 10Inverse matrices
 Week 11Euclidean spaces
 Week 12Linear and bilinear forms
 Week 13Linear operators
 Week 14Eigen-values and eigen- vectors
 Week 15Unitar spaces
 Week 16End-of-term exam
 
Textbook / Material
1Bernard KOLMAN; Elementer Lineer Cebir, Bilim Teknik Yayınevi, Istanbul, 2000
2Bernard KOLMAN; Elementer Lineer Cebir, Bilim Teknik Yayınevi, Istanbul, 2000
 
Recommended Reading
1Hacısalihoğlu, H. H., 1982; Lineer Cebir, Bizim Büro, Ankara
2Hacısalihoğlu, H. H., 1982; Lineer Cebir, Bizim Büro, Ankara
 
Method of Assessment
Type of assessmentWeek NoDate

Duration (hours)Weight (%)
Mid-term exam 9 02/04/2019 2 50
End-of-term exam 16 23/05/2019 2 50
 
Student Work Load and its Distribution
Type of workDuration (hours pw)

No of weeks / Number of activity

Hours in total per term
Yüz yüze eğitim 4 14 56
Sınıf dışı çalışma 7 14 98
Arasınav için hazırlık 7 1 7
Arasınav 2 1 2
Dönem sonu sınavı için hazırlık 10 1 10
Dönem sonu sınavı 2 1 2
Total work load175