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) | ŞENOL KARTAL, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| The aim of the course is to provide the student with basic knowledge about the basic subjects of linear algebra, especially systems of linear equations, matrices, determinants and their uses. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Knows the basic concepts of matrix algebra and can apply basic operations defined on matrices. |
PO-1 Has the information of teaching programs, teaching strategies, measurement and assessment methods related to the field. 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-2 | Finds the rank and inverse of a matrix. |
PO-1 Has the information of teaching programs, teaching strategies, measurement and assessment methods related to the field. 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-3 | Expresses some properties of determinant, calculates the determinant of a square 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. PO-18 Uses ways to reach the information effectively. |
Examination |
| LO-4 | Express the existence of solutions of linear equation systems. |
PO-1 Has the information of teaching programs, teaching strategies, measurement and assessment methods related to the field. 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 | Expresses the existence of solutions of linear equation systems. Explains solution methods of linear equation systems. |
PO-1 Has the information of teaching programs, teaching strategies, measurement and assessment methods related to the field. 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-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-6 | Finds the solution of linear equation system with Gaussian elimination, Gauss-Jordan reduction, inverse matrix and Cramer methods. |
PO-1 Has the information of teaching programs, teaching strategies, measurement and assessment methods related to the field. 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 |
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| Course Contents | ||
| This course covers matrices, operations on matrices, determinants and methods of solving systems of linear equations. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Matrices, operations on matrices | Narration Method |
| 2 | special types of matrices; elementary operations | Narration Method |
| 3 | echelon matrix | Narration Method |
| 4 | echelon matrix | Narration Method |
| 5 | elementary matrices and inverse of a matrix | Narration Method |
| 6 | matrices and the inverse of a matrix | Narration Method |
| 7 | rank of a matrix | Narration Method |
| 8 | mid-term exam | |
| 9 | determinant | Narration Method |
| 10 | properties of the determinant function | Narration Method |
| 11 | properties of the determinant function | Narration Method |
| 12 | systems of linear equations | Narration Method |
| 13 | Methods for solving systems of linear equations | Narration Method |
| 14 | Methods for solving systems of linear equations | Narration Method |
| 15 | Methods for solving systems of linear equations | Narration Method |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | B. Kolman and D.R. Hill, (2018). Elementary Linear Algebra, 9th Edition, Prentice Hall, New Jersey . | |
| 2 | Akkuş, İ. (2013). Lineer Cebir. Nobel Akademik Yayıncılık ./schaum's Outlines | |
| Required Course instruments and materials | ||
| textbook, 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 | 2 | 12 | 24 |
| b) Search in internet/Library | 2 | 12 | 24 |
| 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 | 2 | 4 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 2 | 2 | 4 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 88 | ||