Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 2 / Fall 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) | DERYA ÖZLEM YAZLIK, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| To introduce mathematical structures and operations and to give them the ability to apply them; comprehend the basic concepts such as vector, vector space, matrix, matrix space, linear transformation, gain the ability to use and apply the mathematical knowledge | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | know basic concepts of matrix algebra and apply the basic operations defined on matrices |
PO-7 To be able to use mathematical language accurately in their mathematics courses and in planning learning and teaching process. |
Examination |
| LO-2 | understand and apply the methods of solution of systems of linear equations |
PO-12 To be able to assess mathematics improvements using different assesment techniques. |
Examination |
| LO-3 | Understand the basic concepts of vector spaces and make proofs about the basic properties of these concepts |
PO-7 To be able to use mathematical language accurately in their mathematics courses and in planning learning and teaching process. |
Examination |
| LO-4 | explain the concepts of linear independence, base and dimension |
PO-7 To be able to use mathematical language accurately in their mathematics courses and in planning learning and teaching process. |
Examination |
| LO-5 | understand the basic concepts of linear transformations and make proofs about the basic features related to these concepts |
PO-7 To be able to use mathematical language accurately in their mathematics courses and in planning learning and teaching process. |
Examination |
| LO-6 | understand the relationship between linear transformations and matrices |
PO-7 To be able to use mathematical language accurately in their mathematics courses and in planning learning and teaching process. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| R^2 and R^3 are vectors, their matrices; matrix space and scalar multiplication, linear independence in matrix space, a short introduction to the concept of vector space. Systems of linear equations, Gauss elimination, subspaces. Linear independence and dimension. Linear transformations, relationship between linear transformations and matrices, matrix multiplication, inverse of matrices | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Matrices systems of linear equations and their solutions | narration method |
| 2 | Matrix Operations. | narration method |
| 3 | Special matrices | narration method |
| 4 | Elementary row operations and applications. | narration method |
| 5 | Inverse of matrices. | narration method |
| 6 | Systems of linear equations and solutions (1) | |
| 7 | Systems of linear equations and solutions (1) | narration method |
| 8 | mid-term exam | |
| 9 | Introduction to vectors and vector space concept in R ^ 2 and R ^ 3 | narration method |
| 10 | Sub spaces | narration method |
| 11 | Linear independence | narration method |
| 12 | Base and Size. | narration method |
| 13 | Linear transformations. | narration method |
| 14 | Linear transformations and matrices. | narration method |
| 15 | Core and image subspaces | narration method |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | • Seymour Lipschutz, Marc Lars Lipson, İlker Akkuş, Lineer Cebir, Nobel Akademik Yayıncılık, 2013. | |
| 2 | • H.Hilmi Hacısalihoğlu (2000) Lineer Cebir I, , Hacısalihoğlu Yayıncılık | |
| Required Course instruments and materials | ||
| Books, Pencils, Board | ||
| 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) | 3 | 14 | 42 |
| Outside Class | |||
| a) Reading | 2 | 13 | 26 |
| b) Search in internet/Library | 2 | 12 | 24 |
| c) Performance Project | 2 | 12 | 24 |
| d) Prepare a workshop/Presentation/Report | 2 | 7 | 14 |
| e) Term paper/Project | 0 | ||
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 4 | 2 | 8 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 4 | 2 | 8 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 150 | ||