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| OREN2013 | Linear Algebra | 3+0+0 | ECTS:4 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Elective | | Department | DEPARTMENT of FOREST INDUSTRY ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face, Practical | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Doç. Dr. Ümit ERTUĞRUL | | Co-Lecturer | | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The aim of this course is to introduce the basic linear algebra concepts that students will need in their subsequent careers and to improve their ability using these concepts. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | The student have basic knowledge on vectors. | 1,5 | | | LO - 2 : | They can have basic matrix knowledge.
| 1,5 | | | LO - 3 : | The student will be able to apply the basic mathematical skills to theirproblems | 1,5 | | | LO - 4 : | Analyze systems of linear equations and, if possible, find solutions | 1,5 | | | LO - 5 : | Have knowledge about vector space and subspaces and develop their ability to solve related problems | 1,5 | | | 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 | | |
| Vectors in R^n ( Definition, Vectors addition and scalar multiplication, Dot (inner) product, Norm (Length) of a vector, distance, angles, orthogonality), Algebra of Matrices (Basic Definitions), Some special matrices and their properties, Elemantary row operations, Determinants and properties of determinants, Inverse of matrices, Systems of Linear Equations and their solutions, Eigenvalues and eigenvectors, Vector spaces (Linear dependence, spanning sets, Basis and Dimensions), Linear mappings, Linear mappings and matrices |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Vectors in R^n ( Definition, Vectors addition and scalar multiplication, Dot (inner) product) | | | Week 2 | Vectors in R^n (Norm (Length) of a vector, distance, angles, orthogonality) | | | Week 3 | Algebra of Matrices (Basic Definitions) | | | Week 4 | Some special matrices and their properties | | | Week 5 | Elemantary row operations, Echolon forms | | | Week 6 | Determinants and properties of determinants | | | Week 7 | Inverse of matrices | | | Week 8 | Systems of Linear Equations and their solutions | | | Week 9 | Mid-term exam | | | Week 10 | Systems of Linear Equations and their solutions | | | Week 11 | Eigenvalues and eigenvectors, , Basis and Di | | | Week 12 | Vector spaces (Linear dependence, spanning sets) | | | Week 13 | Vector spaces (Basis and Dimensions) | | | Week 14 | Linear Transformations | | | Week 15 | Linear mappings and matrices | | | Week 16 | End-of-term exam | | | |
| 1 | Seymour Lipschutz, Marc Lipson, 2013, Lineer Cebir, Nobel yayıncılık. | | | 2 | Bernard Kolman, David R. Hill (Çeviri Editörü: Prof. Dr. Ömer Akın), 2002, Uygulamalı Lineer Cebir, Palme Yayıncılık. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 8 | 17/11/2019 | 2 | 50 | | End-of-term exam | 16 | 02/01/2020 | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 9 | 14 | 126 | | Arasınav için hazırlık | 9 | 1 | 9 | | Arasınav | 1.5 | 1 | 1.5 | | Dönem sonu sınavı için hazırlık | 9 | 1 | 9 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 189.5 |
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