Ondokuz Mayıs Üniversitesi Bilgi Paketi - Ders Kataloğu

# Description of Individual Course Units

 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
1. 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.
2. Tarımsal yapılr ve sulama alanında gerekli olan temel matematiksel bilgilere sahip olur
3. Araştırma sonuçlarını matematiksel olarak ifade ederek değerlendirebilir
4. Tarımsal yapı ve sulamaya ait deneysel ve teorik parametreler arasındaki fonksiyonel ilişkilerin belirlenmesi için gerekli teorik bilgilere sahip olur.
5. 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).
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