Nevşehir Hacı Bektaş Veli University Course Catalogue
|
|||||
| Year/Semester of Study | 3 / Spring Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Optional | ||||
| Department | MATHEMATICS | ||||
| Pre-requisities and Co-requisites | LINEAR ALGEBRA II, | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | NECDET BATIR (nbatir@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | NECDET BATIR, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| To teach topics which are based on other mathematics lectures. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Can explain the concept of eigenvalue and eigenvector. |
PO-4 Analytically use the interdisciplinary approach at learning process. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
|||
| Course Contents | ||
| Characteristic polynomial, Eigenvalues and eigenvectors, complex eigenvalues, Eigenvalues of some matrices, | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Diagonalization of an lineer | Teaching topic and applications |
| 2 | Diagonalization of an lineer | Teaching topic and applications |
| 3 | Cayley-Hamilton Theorem | Teaching topic and applications |
| 4 | Invariant subspaces | Teaching topic and applications |
| 5 | Invariant subspaces | Teaching topic and applications |
| 6 | Simultaneous diagonalization | Teaching topic and applications |
| 7 | Direct sums | Teaching topic and applications |
| 8 | mid-term exam | |
| 9 | Direct sums | Teaching topic and applications |
| 10 | Primary decomposition theorem | Teaching topic and applications |
| 11 | Primary decomposition theorem and its applications | Teaching topic and applications |
| 12 | Cyclic subspaces and annihilators | Teaching topic and applications |
| 13 | Cycliic decompositions and rational forms | Teaching topic and applications |
| 14 | Cycliic decomposition theorem | Teaching topic and applications |
| 15 | Jordan Canonical form | Teaching topic and applications |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Taşcı, D., Lineer Cebir, 2010. | |
| 2 | Kenneth Hofmann and Ray Kunze, Linear Algebra, Pentice Hall Inc., New Jersey | |
| Required Course instruments and materials | ||
| The lecture books | ||
| 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 | 3 | 14 | 42 |
| 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 | 3 | 7 | 21 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 3 | 7 | 21 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 172 | ||