Nevşehir Hacı Bektaş Veli University Course Catalogue
|
|||||
| Year/Semester of Study | 2 / Spring Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Compulsory | ||||
| Department | ELEMENTARY MATHEMATICS EDUCATION | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | ŞENOL KARTAL (senol.kartal@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | ŞENOL KARTAL, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| To provide students with basic linear algebra concepts and to apply these concepts to problems encountered in other fields of mathematics. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Explain the concepts of vector spaces and subspaces. |
PO-3 Explains the concepts and the relations between concepts related to the field at a level that can meet the needs of the students. PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process. PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-2 | linear combinations; define the concepts of stretching, base and dimension. |
PO-3 Explains the concepts and the relations between concepts related to the field at a level that can meet the needs of the students. PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process. PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-3 | calculate the kernel and image of a linear transform. |
PO-2 Has the information about the nature, source, limit, accuracy, validity and reliability of knowledge. PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process. PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-4 | Can find the characteristic polynomial, eigenvalues and eigenvectors of a matrix. |
PO-2 Has the information about the nature, source, limit, accuracy, validity and reliability of knowledge. PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process. PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-5 | Can triangulate and diagonalize a given matrix. |
PO-3 Explains the concepts and the relations between concepts related to the field at a level that can meet the needs of the students. PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process. PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-6 | Learns the concept of inner product in vectors |
PO-2 Has the information about the nature, source, limit, accuracy, validity and reliability of knowledge. PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process. PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
|||
| Course Contents | ||
| This course covers Vector spaces, subspaces, eigenvalues and eigenvectors; dot product spaces, orthogonality of vectors, sets of orthonormal vectors. covers topics. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Vector spaces, subspaces | Narration Method |
| 2 | Vector spaces, subspaces | Narration Method |
| 3 | linear independence, | Narration Method |
| 4 | stretch, base and size; | Narration Method |
| 5 | diagonalization | Narration Method |
| 6 | eigen-values and eigen-vectors; characteristic polynomials; | Narration Method |
| 7 | eigen-values and eigen-vectors; characteristic polynomials; | Narration Method |
| 8 | mid-term exam | |
| 9 | inner product spaces | Narration Method |
| 10 | inner product spaces | Narration Method |
| 11 | inner product spaces | Narration Method |
| 12 | orthogonality of vectors, sets of orthonormal vectors. | Narration Method |
| 13 | orthogonality of vectors, sets of orthonormal vectors. | Narration Method |
| 14 | linear transformations | Narration Method |
| 15 | kernel and image of a linear transformation; | Narration Method |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Akkuş, İ. (2013). Lineer Cebir. Nobel Akademik Yayıncılık ./schaum's Outlines | |
| 2 | 2. B. Kolman and D.R. Hill, (2018). Elementary Linear Algebra, 9th Edition, Prentice Hall, New Jersey . | |
| Required Course instruments and materials | ||
| book and notebook | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 1 | 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 | 14 | 1 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 2 | 14 | 28 |
| Outside Class | |||
| a) Reading | 1 | 12 | 12 |
| b) Search in internet/Library | 1 | 12 | 12 |
| 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 | 1 | 2 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 2 | 1 | 2 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 60 | ||