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| MAT2018 | Engineering Mathematics | 3+0+0 | ECTS:5 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of INDUSTRIAL ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Doç. Dr. Gül TUĞ | | Co-Lecturer | Hasan KELEŞ. | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The Aim of the Course: To introduce the main concepts of Linear Algebra is indispensable for all of the basic sciences and are encounter in the fields of engineering too. Furthermore, to gain the necessary knowledge and skills about application of these concepts. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Analyze linear equation systems and determine solutions if it is possible.
| 1,2 | | | LO - 2 : | Determine the best close solutioniın case the solution is not available.
| 1,2 | | | LO - 3 : | Have the necessary knowledge about vector spaces and subspaces and have developed the capabilities solving related problems. | 1,2 | | | LO - 4 : | Observe that especially on the methods of analytical approach, wanted the best solution can be determined with the help of orthogonal projection. | 1,2 | | | 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 | | |
| MATRIX ALGEBRA: Basic Concepts and Algebraic Operations İn Matrices, Some Special Matrices And Properties, Elementary Row Operations, Row Reduction And Echelon Forms, Rank.
DETERMINANTS:Introduction To Determinants, Properties of Determinants, The Inverse of a Matrix.
SYSTEMS OF LINEAR EQUATIONS: Systems of Linear Equations and Solution Sets. Problem Solutions About Systems of Linear Equations.
EIGENVALUES AND EIGENVECTORS: Detinition of Eigenvalues and Eigenvectors, Properties and Examples.
VECTOR SPACES: Vector Spaces, Subspaces. Linear Dependence and Linear Independence, The Base and The Dimension of Vector Space, Linear Transformations and The Matrix of a Linear Transformation.
INNER PRODUCT SPACES AND ORTHOGONALITY: Inner Product, Norm (Length), etc., Orthogonality, The Gram-Schmidt Teoremi.
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | MATRIX ALGEBRA: Basic Concepts and Algebraic Operations İn Matrices. | | | Week 2 | Some Special Matrices and Properties. | | | Week 3 | Some Special Matrices and Properties. | | | Week 4 | Elementary Row Operations, Row Reduction and Echelon Forms, Rank. | | | Week 5 | DETERMINANTS:Introduction To Determinants, Properties Of Determinants, The Inverse of a Matrix. | | | Week 6 | SYSTEMS OF LINEAR EQUATIONS: Systems of Linear Equations and Solution Sets. | | | Week 7 | Problem Solutions About Systems Of Linear Equations. | | | Week 8 | EIGENVALUES AND EIGENVECTORS: Detinition, Properties and Examples. | | | Week 9 | Mid-Term Exam | | | Week 10 | VECTOR SPACES: Vector Spaces, Subspaces. | | | Week 11 | Linear Dependence and Linear Independence. | | | Week 12 | The Base and The Dimension of Vector Space. | | | Week 13 | Linear Transformations and The Matrix of a Linear Transformation. | | | Week 14 | INNER PRODUCT SPACES AND ORTHOGONALITY: Inner Product, Norm (Length), etc. | | | Week 15 | Orthogonality, The Gram-Schmidt Teoremi. (Make-Up Exam) | | | Week 16 | End-of-Term Exam | | | |
| 1 | Keleş, H., 2015, Lineer Cebire Giriş-I-, Bordo ve Akademi, Trabzon-2015. | | | 2 | Lay, D. C., 2003; Linear Algebra and its Applications, Addison Wesley Pub. | | | |
| 1 | Hacısalihoğlu, H., H., 2000; Lineer Cebir, Hacısalihoğlu Yayıncılık. | | | 2 | Lipschutz, S., Lipson, M.,L., 2009, Linear Algebra (Fourth Edition), McGraw-Hill Company, New York. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 06/04/2020 | 2 | 50 | | End-of-term exam | 16 | 15/06/2020 | 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 | 1 | 14 | 14 | | Arasınav için hazırlık | 5 | 1 | 5 | | Dönem sonu sınavı için hazırlık | 5 | 1 | 5 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 68 |
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