Course Unit Code | Course Unit Title | Type of Course | Year | Semester | ECTS |

TBMAT107 | Mathematics-I | 927006 | 1 | 1 | 4 |

Level of Course Unit

First Cycle

Objectives of the Course

The aim is to provide students a knowledge on the basic concepts and applications of high mathematics.

Name of Lecturer(s)

Prof. Dr. İmanverdi EKBERLİ

Learning Outcomes

- Bahçe Bitkileri alanında gerekli olan temel matematiksel bilgilere sahip olur.
- Araştırma sonuçları arasındaki fonksiyonel ilişkilerin belirlenmesi için gerekli teorik bilgilere sahip olur.
- Maintains a base for evaluation of Empirical mathematical models and evaluation of their sub-structures.
- Araştırma sonuçlarını matematiksel olarak ifade ederek değerlendirir.
- Fonksiyonun maksimum ve minimumunun araştırma sonuçlarına uygulanması için alt yapı oluşturur.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Recommended or Required Reading

1.Prof. Dr. Ahmet A. Karadeniz. Yüksek Matematik (cilt 1). Çağlayan Kitabevi, İstanbul.

2.Prof. Dr. Hilmi Hacısalihoğlu, Prof. Dr. Mustafa Balcı, 1996. Temel ve Genel Matematik (cilt 1), Ankara.

3.E. Kadıoğlu, M.Kamali, 1999. Genel Matematik. Erzurum.

4.J. Hass, M.D.Weir, G. B. Thomas. University Calculus, 2007. USA.

5.Thomas' Caculus, 2008,USA (Eleventh Edition).

2.Prof. Dr. Hilmi Hacısalihoğlu, Prof. Dr. Mustafa Balcı, 1996. Temel ve Genel Matematik (cilt 1), Ankara.

3.E. Kadıoğlu, M.Kamali, 1999. Genel Matematik. Erzurum.

4.J. Hass, M.D.Weir, G. B. Thomas. University Calculus, 2007. USA.

5.Thomas' Caculus, 2008,USA (Eleventh Edition).

Planned Learning Activities and Teaching Methods

Language of Instruction

Turkish

Work Placement(s)

None

Course Contents

The concept of limit. Theories related with limit. Applications of the limit. Continuity of functions. Some of the features of continuous functions. Definition and basic properties of the derivative. Compound derivative of function. Trigonometric function derivatives. Implicit functions and their derivatives. Higher-order derivatives. Various applications of the derivative (the direction of a curve, equations of tangents and normal, increasing and decreasing functions, concavity of a curve). The maximum and minimum values of the function. Plotting graphs functions. Asymptote curves. Derivatives of inverse trigonometric functions. Derivatives of exponential and logarithmic functions. Logarithmic differentiation. The definition of the differential, geometric mean, differential rules. Exponential differentials. The use of diffenrial in approximate calculations. Indeterminate forms (L'hospital rule). Indefinite integral. Properties of indefinite integrals. Methods of calculating indefinite integral. The definition and some properties of the definite integral. Methods of calculating definite integral. Area calculation in the Cartesian coordinates Plane. Volume calculation. The length of a arc curve.

Weekly Detailed Course Contents

Week | Theoretical | Practice | Laboratory |

1. | The concept of limit. Theories related with limit. Applications of the limit. | ||

2. | Continuity of functions. Some of the features of continuous functions. | ||

3. | Definition and basic properties of the derivative. Compound derivative of function. Trigonometric function derivatives. Implicit functions and their derivatives. Higher-order derivatives. | ||

4. | Various applications of the derivative (the direction of a curve, equations of tangents and normal, increasing and decreasing functions, concavity of a curve). | ||

5. | The maximum and minimum values of the function. Plotting graphs functions. Asymptote curves. | ||

6. | Derivatives of inverse trigonometric functions. | ||

7. | Derivatives of exponential and logarithmic functions. Logarithmic differentiation. | ||

8. | The definition of the differential, geometric mean, differential rules. Exponential differentials. The use of diffenrial in approximate calculations. | ||

9. | Mid-term exam. | ||

10. | Indeterminate forms (L'hospital rule). | ||

11. | Indefinite integral. Properties of indefinite integrals. Methods of calculating indefinite integral. | ||

12. | The definition and some properties of the definite integral. Methods of calculating definite integral. | ||

13. | Area calculation in the Cartesian coordinates Plane. | ||

14. | Volume calculation. The length of a arc curve. | ||

15. |

Assessment Methods and Criteria

Term (or Year) Learning Activities | Quantity | Weight (%) |

Midterm Examination | 1 | 100 |

SUM | 100 | |

End Of Term (or Year) Learning Activities | Quantity | Weight (%) |

Final Examination | 1 | 100 |

SUM | 100 | |

Term (or Year) Learning Activities | 40 | |

End Of Term (or Year) Learning Activities | 60 | |

SUM | 100 |

Workload Calculation

Activities | Quantity | Time(hours) | Total Workload(hours) |

Midterm Examination | 1 | 2 | 2 |

Final Examination | 1 | 2 | 2 |

Problem Solving | 9 | 2 | 18 |

Self Study | 13 | 2 | 26 |

Individual Study for Mid term Examination | 13 | 2 | 26 |

Individual Study for Final Examination | 13 | 2 | 26 |

SUM | 100 |