| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | AE-FB108B | | Compulsory | 1 | 2 | 3 |
|
| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| Students will be able to analyze the change in functions benefiting from derivatives and being able to draw graphs. Student will conceptualize relationship between derivate and integral, calculate different kind of indefinite integrals. Student will understand interpret concept Integral. Student will be able to solve the simple ordinary differantial equations. Student will calculate length of arc, area, and volume etc by integral. Infrastructure of analytical geometry will be created. Student will interpret the knowledge and transfer it at the another courses. Reinforcing the backgrounds of the students mathematics knowledge for other mathematics courses. |
| Name of Lecturer(s) |
| Prof. Dr. Rabil AYAZOĞLU |
| Learning Outcomes |
| 1 | Define the derivative, solve the maximal and minimal definite problems by using derivative. | | 2 | Analyse the functions by using derivate and draw graph.. | | 3 | Calculate integration of a function | | 4 | Calculate length of arc of a curve, area and volüme by using definite integral. | | 5 | Solve simple ordinary differential equations | | 6 | Express the basic information in analytical geometry |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Definition and geometric applications of derivative; drawing graphic of function; Indefinite integral; variable separable integral; partial integration, indefinite integral applications; simple differential equations; definite integral; analytical geometry. |
| Weekly Detailed Course Contents |
|
| 1 | Definition and geometric applications of derivative; maxima and minimal definite problems, indeterminate exponential function. | | | | 2 | Definition and geometric applications of derivative; maxima and minimal definite problems, indeterminate exponential function. | | | | 3 | Definition and geometric applications of derivative; maxima and minimal definite problems, indeterminate exponential function. | | | | 4 | Examination of changes in functions and drawing graphic of the functions | | | | 5 | Examination of changes in functions and drawing graphic of the functions | | | | 6 | Indefinite integral: definition of indefinite integral, integral which is detachable to its basic form | | | | 7 | Integration with variable change method, partial integration method. | | | | 8 | Midterm | | | | 9 | Integration by partial fractions | | | | 10 | Application of indefinite integral and simple ordinary differential equation. | | | | 11 | Definite integral: properties of definite integral | | | | 12 | Area calculation, volume calculation | | | | 13 | Length of arc | | | | 14 | Analytical geometry | | | | 15 | Analytical geometry | | | | 16 | Final exam | | |
|
| Recommended or Required Reading |
| Çinar, C., 2013. Genel Matematik, Dizgi Ofset, Konya
Aktaş, M. 2010. Genel Matematik 1, Pegem Akademi, Ankara, Balcı, M., 2000. Genel Matematik 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 | 40 | | End Of Term (or Year) Learning Activities | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 2 | 28 |
| Self Study | 14 | 2 | 28 |
| Individual Study for Homework Problems | 5 | 1 | 5 |
| Individual Study for Mid term Examination | 7 | 3 | 21 |
| Individual Study for Final Examination | 14 | 1 | 14 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 4 | 4 | 5 | 5 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | | LO2 | 4 | 4 | 5 | 5 | 5 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | | LO3 | 4 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 4 | 4 | 5 | 5 | | LO4 | 5 | 4 | 5 | 5 | 4 | 5 | 5 | 5 | 4 | 5 | 5 | 4 | | LO5 | 5 | 4 | 5 | 5 | 4 | 5 | 5 | 5 | 4 | 5 | 5 | 4 | | LO6 | 5 | 4 | 5 | 5 | 4 | 5 | 5 | 5 | 4 | 5 | 5 | 4 |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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