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Description of Individual Course Units| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MEY128 | Derivative, Integral Applications and Teaching | Elective | 1 | 2 | 6 |
| | Level of Course Unit | | Second Cycle | | Objectives of the Course | | At the end of this course, students will be able to understand the derivative of functions, drawing graphs of functions with the help of derivatives, integral subjects and to develop different methods for teaching these subjects. | | Name of Lecturer(s) | | Prof.Dr.Rabil AYAZOĞLU | | Learning Outcomes | | 1 | Defines derivative of functions at any point, develops different applications for teaching derivative. | | 2 | Draws graphs of functions with the help of derivatives, develops different applications for teaching graphs of functions. | | 3 | Expresses integral, develops different applications to teach integral. |
| | Mode of Delivery | | Normal Education | | Prerequisites and co-requisities | | none | | Recommended Optional Programme Components | | | Course Contents | | | Weekly Detailed Course Contents | |
| 1 | Purpose of the course, content, resources and presentation of the process | | | | 2 | Derivative of the function | | | | 3 | The concept of the derivative of the function and its teaching | | | | 4 | Geometric interpretation of the derivative of the function and its teaching | | | | 5 | Solution of extreme values and maximum minimum problems, application areas and teaching of these subjects | | | | 6 | Solution of extreme values and maximum minimum problems, application areas and teaching of these subjects | | | | 7 | Examining the change of functions | | | | 8 | Drawing of graphs of functions, importance of graphs of functions and teaching of these subjects | | | | 9 | Drawing of graphs of functions, importance of graphs of functions and teaching of these subjects | | | | 10 | The concept of integral, indefinite integrals and teaching of these subjects | | | | 11 | The concept of integral, indefinite integrals and teaching of these subjects | | | | 12 | Teaching the definite integral as a sum | | | | 13 | Definite integrals, area and volume calculations by using definite integral | | | | 14 | Applications of definite integral in various fields | | | | 15 | Final exam | | |
| | Recommended or Required Reading | | Demir, H. 2008; Teori ve Problemleri ile Analiz I, Pegem, Ankara.
Önerilen Kaynaklar:
Aktaş, M., 2010. Genel Matematik 1, Pegem Akademi, Ankara.
Balcı, M., 2000. Genel Matematik I, Balcı Yayınları, Ankara.
Balcı, M., 2008. Matematik Analiz I, Balcı Yayınları, Ankara. | | Planned Learning Activities and Teaching Methods | | | Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 30 | | End Of Term (or Year) Learning Activities | 70 | | SUM | 100 |
| | Language of Instruction | | | Work Placement(s) | | none |
| | Workload Calculation | |
| Midterm Examination | 1 | 1 | 1 | | Final Examination | 1 | 2 | 2 | | Field Work | 14 | 3 | 42 | | Individual Study for Mid term Examination | 14 | 3 | 42 | | Individual Study for Final Examination | 14 | 3 | 42 | | Reading | 14 | 2 | 28 | | Homework | 14 | 2 | 28 | |
| Contribution of Learning Outcomes to Programme Outcomes | | LO1 | 3 | 5 | 3 | 5 | 5 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | | LO2 | 4 | 4 | 4 | 4 | 3 | 5 | 5 | 5 | 4 | 4 | 4 | 4 | 4 | 4 | | LO3 | 5 | 5 | 5 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| | * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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