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 FACULTY of SCIENCE / DEPARTMENT of STATISTICS and COMPUTER SCIENCES Course Catalog http://www.ktu.edu.tr/isbb Phone: +90 0462 +90 (462) 3773112 FENF
FACULTY of SCIENCE / DEPARTMENT of STATISTICS and COMPUTER SCIENCES /

 MAT1017 Linear Algebra 4+0+0 ECTS:6 Year / Semester Fall Semester Level of Course First Cycle Status Compulsory Department DEPARTMENT of STATISTICS and COMPUTER SCIENCES Prerequisites and co-requisites None Mode of Delivery Face to face Contact Hours 14 weeks - 4 hours of lectures per week Lecturer Prof. Dr. Osman KAZANCI Co-Lecturer Assoc. Prof. Dr. Funda Karaçal Language of instruction Turkish 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 Outcomes CTPO TOA 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 equations 5,6 1 LO - 2 : recognize the rank of a matrix 5,6 1 LO - 3 : explain the notions of the geometry of Euclidean space 5,6 1 LO - 4 : explain the notions of a bilinear form and a linear operator and use the definitions to prove basic facts about them 5,6 1 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 Week Subject Related Notes / Files Week 1 Lineer spaces Week 2 Matrices Week 3 Rank of a matrix Week 4 The system of linear equations Week 5 The method of Gauss Week 6 Permutations Week 7 Determinants Week 8 Minors Week 9 Mid-term exam Week 10 Inverse matrices Week 11 Euclidean spaces Week 12 Linear and bilinear forms Week 13 Linear operators Week 14 Eigen-values and eigen- vectors Week 15 Unitar spaces Week 16 End-of-term exam
 Textbook / Material
 1 Bernard KOLMAN; Elementer Lineer Cebir, Bilim Teknik Yayınevi, Istanbul, 2000 2 Bernard KOLMAN; Elementer Lineer Cebir, Bilim Teknik Yayınevi, Istanbul, 2000