Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 1 / Spring Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Compulsory | ||||
| Department | MATHEMATICS | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | HATİCE TOPCU (hatice.kamit@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | HATİCE TOPCU, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| The objective of this course is understanding the topics of vector spaces, linear transformations, eigen values, eigen vectors, diagonalization and inner product spaces, and also attaining the the ability of interpreting and solving the problems of linear algebra. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 |
PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-4 Analytically use the interdisciplinary approach at learning process. PO-5 Develop suitable material for a subject on a mathematical area, to use the knowledge and experience gains with different methods PO-7 Have the knowledge to determine the needs related to his area and to direct his learning and use exclusively computer technologies with software. PO-10 With the knowledge of foreign language required the field of mathematics, use and follow information technologies by the level of European Language Portfoy B1. |
Examination |
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| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Vector spaces, Linear transformations, Eigen values, Eigen vectors, Diagonalization, Inner product spaces. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Vector spaces, subspaces | Problems and solutions |
| 2 | Linearly dependence and independence, basis and dimension | Problems and solutions |
| 3 | Coordinates of a vector, rank of column and row | Problems and solutions |
| 4 | Relations between rank and determinant | Problems and solutions |
| 5 | Inner product and vector norms | Problems and solutions |
| 6 | Orthogonal vectors, direct sum, orthogonal complement | Problems and solutions |
| 7 | Matrix norms, least square method | Problems and solutions |
| 8 | mid-term exam | |
| 9 | Linear transformations and vector spaces | Problems and solutions |
| 10 | Kernel, image, matrix representation and inverse of a linear transformation | Problems and solutions |
| 11 | Isomorphism, orthogonal linear tranformations, transpose of a linear transformation | Problems and solutions |
| 12 | Characteristic polynomial, eigenvalues, eigenvectors and eigenspaces | Problems and solutions |
| 13 | Complex eigenvalues and eigenvectors | Problems and solutions |
| 14 | Eigenvalues of some special matrices | Problems and solutions |
| 15 | Preparation fort he final exam | Problems and solutions |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Lineer Cebir, Prof. Dr. Dursun Taşçı | |
| 2 | Kenneth Hoffman/Ray Kunze, Linear AlgebraPrentice Hall | |
| Required Course instruments and materials | ||
| Lecture notes and textbooks | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 2 | 40 |
| Other assessment methods | |||
| 1.Oral Examination | |||
| 2.Quiz | |||
| 3.Laboratory exam | |||
| 4.Presentation | |||
| 5.Report | |||
| 6.Workshop | |||
| 7.Performance Project | |||
| 8.Term Paper | |||
| 9.Project | |||
| final exam | 16 | 2 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 4 | 14 | 56 |
| Outside Class | |||
| a) Reading | 2 | 14 | 28 |
| b) Search in internet/Library | 1 | 14 | 14 |
| c) Performance Project | 0 | ||
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 0 | ||
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 2 | 8 | 16 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 2 | 15 | 30 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 148 | ||