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

TBMAT108 | Mathematics-II | 927006 | 1 | 2 | 4 |

Level of Course Unit

First Cycle

Objectives of the Course

It is to informate to the students about the basic concepts and applications of high mathematics.

Name of Lecturer(s)

Prof. Dr. Imanverdi Ekberli

Learning Outcomes

- Gets backgound to link the maximum and minimum of the function to the results of the research, and to implement the results of experimental and theoretical investigation of differential equations.
- Tarımsal yapılr ve sulama alanında gerekli olan temel matematiksel bilgilere sahip olur
- Araştırma sonuçlarını matematiksel olarak ifade ederek değerlendirebilir
- Tarımsal yapı ve sulamaya ait deneysel ve teorik parametreler arasındaki fonksiyonel ilişkilerin belirlenmesi için gerekli teorik bilgilere sahip olur.
- Tarımsal yapılar ve sulama alanında matematiksel modellerin değerlendirme alt yapısına sahip olur.

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, 1997. Yüksek Matematik (cilt 1-3),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.Thomas'Calculus,2008,USA (Eleventin 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.Thomas'Calculus,2008,USA (Eleventin Edition).

Planned Learning Activities and Teaching Methods

Language of Instruction

Turkish

Work Placement(s)

None

Course Contents

Indefinite integral. Properties of indefinite integrals. Simple integration by separation of elements. Integration by change of variable. Integrals with square root expressions Integrals of a second degree polynomials. Partial integration rule. Integrals of trigonometric expressions and rational fractions. 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. First and second type improper integrals. Approximate integrals (Trapezoidal and Simpson's rule). Functions of several variables. Partial derivatives. The maximum and minimum of the function of two variables.Introduction to differential equations. Some applications of differential equations.

Weekly Detailed Course Contents

Week | Theoretical | Practice | Laboratory |

1. | Indefinite integral. Properties of indefinite integrals. Simple integration by separation of elements. | ||

2. | Integration by change of variable. | ||

3. | Integrals with square root expressions | ||

4. | Integrals of a second degree polynomials. | ||

5. | Partial integration rule. | ||

6. | Integrals of trigonometric expressions and rational fractions. | ||

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

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

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

10. | Mid-term (intermediate) exam | ||

11. | First and second type improper integrals. | ||

12. | Approximate integrals (Trapezoidal and Simpson's rule). | ||

13. | Functions of several variables. Partial derivatives. The maximum and minimum of the function of two variables. | ||

14. | Introduction to differential equations. Some applications of differential equations. |

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 |

Attending Lectures | 14 | 3 | 42 |

Self Study | 7 | 4 | 28 |

Individual Study for Mid term Examination | 14 | 1 | 14 |

Individual Study for Final Examination | 14 | 1 | 14 |

SUM | 102 |