|
|||||
| Year/Semester of Study | 1 / 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) | NERİMAN KARTAL, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| In order to improve the trigonometric relation and equation solution skills of pre-service teachers, to enable them to construct the concept of integral, to conduct studies on the concepts of definite and indefinite integrals and to practice series and convergence tests. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Performs operations related to trigonometric functions |
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 | Knows complex numbers and their properties |
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 | Gain basic knowledge of Riemann sum |
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 | Knows the rules of integration |
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 | Makes implicit integral applications |
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-6 | Has basic knowledge of the concept of series and knows how to apply convergence tests |
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 integral and its applications, series and convergence tests | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | trigonometric functions | Narration Method |
| 2 | trigonometric relations, solutions of trigonometric equations | Narration Method |
| 3 | complex numbers and their properties | Narration Method |
| 4 | Riemann sum | Narration Method |
| 5 | definite integral | Narration Method |
| 6 | indefinite integral, | Narration Method |
| 7 | integration methods, applications of the integral | Narration Method |
| 8 | mid-term exam | |
| 9 | integration methods, applications of the integral | Narration Method |
| 10 | integration methods, applications of the integral | Narration Method |
| 11 | integration methods, applications of the integral | Narration Method |
| 12 | Improper integrals | Narration Method |
| 13 | series and convergence tests. | Narration Method |
| 14 | series and convergence tests. | Narration Method |
| 15 | series and convergence tests. | Narration Method |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Balcı, M. (2021). Genel Matematik 1, Palme Yayıncılık | |
| Required Course instruments and materials | ||
| textbook and notebook | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 7 | 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 | 3 | 14 | 42 |
| 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 | 2 | 4 | 8 |
| mid-term exam | 1 | 1 | 1 |
| Own study for final exam | 1 | 4 | 4 |
| final exam | 1 | 1 | 1 |
| 0 | |||
| 0 | |||
| Total work load; | 126 | ||