Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 1 / Spring Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Compulsory | ||||
| Department | ELEMENTARY SCIENCE TEACHING | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | NERİMAN KARTAL (nerimangok@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | SOLMAZ DAMLA GEDİK ALTUN, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| To teach the physical and geometric applications of derivative | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Can solve maximum and minimum problems by using the derivative. |
PO-2 Having the knowledge about the nature, source, limit, accuracy, validity and reliability of knowledge |
Examination |
| LO-2 | Can draw graph of a function by using the derivate. |
PO-13 Using the effective ways of attaining knowledge. |
Examination |
| LO-3 | Can express definition of indefinited integral and integral methods. |
PO-7 Ability to develop appropriate materials to the subject area and needs of students. |
Examination |
| LO-4 | describe the derivative of a function at this point |
PO-1 Having the knowledge of teaching programs, teaching strategies, measurement and assessment methods related to the field. PO-4 Conceptualization of events and facts about the area, using scientific methods and techniques to solve problems. PO-13 Using the effective ways of attaining knowledge. |
Examination |
| LO-5 | tell the relationship between the extremum points of a function and its derivative at this point |
PO-1 Having the knowledge of teaching programs, teaching strategies, measurement and assessment methods related to the field. PO-4 Conceptualization of events and facts about the area, using scientific methods and techniques to solve problems. PO-13 Using the effective ways of attaining knowledge. |
Examination |
| LO-6 | use specific integral in area and volume calculations |
PO-4 Conceptualization of events and facts about the area, using scientific methods and techniques to solve problems. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Rules of Derivation, geometric applications of derivative: Maximum-minimum problems, exponential uncertainties, graphic drawings, differential equations. Indefinite Integral: Definition of indefinite integral, integral separable, partial integral, integration into simple fractions, integral of trigonometric functions, integral of irrational functions. Definite Integral: Properties of definite integral, area and volume calculation, arc length, non-integral integrals. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Rules of Derivative methods | Topic and Applications |
| 2 | Geometric comments and applications of derivative | Topic and Applications |
| 3 | Geometric comments and applications of derivative | Topic and Applications |
| 4 | Maximum and minimum problems | Topic and Applications |
| 5 | Exponentional uncertainties | Topic and Applications |
| 6 | Asymptotes | Topic and Applications |
| 7 | Graphs drawings | Topic and Applications |
| 8 | mid-term exam | |
| 9 | Graphs drawings | Topic and Applications |
| 10 | Indefinite integral: definition of indefinite integral, integral with separated variables, integral by parts | Topic and Applications |
| 11 | Integral methods with separated simple fractions, integral of trigonometric functions | Topic and Applications |
| 12 | integral of irrational functions. | Topic and Applications |
| 13 | Definite integral: properties of definite integral, | Topic and Applications |
| 14 | Calculus area-volume and arc length | Topic and Applications |
| 15 | Improper integral. | Topic and Applications |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Hacısalihoğlu, H. 1985; Temel ve Genel Matematik, Ankara Üniversitesi, Ankara. 2) Balcı, M. 2000; Genel Matematik, Balcı Yayınları, Ankara. | |
| Required Course instruments and materials | ||
| Textbooks | ||
| 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) | 4 | 14 | 56 |
| Outside Class | |||
| a) Reading | 3 | 16 | 48 |
| 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 | 8 | 16 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 2 | 7 | 14 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 180 | ||