Ondokuz Mayıs Üniversitesi Bilgi Paketi - Ders Kataloğu

Description of Individual Course Units

Course Unit CodeCourse Unit TitleType of CourseYearSemesterECTS
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
  1. Bahçe Bitkileri alanında gerekli olan temel matematiksel bilgilere sahip olur.
  2. Araştırma sonuçları arasındaki fonksiyonel ilişkilerin belirlenmesi için gerekli teorik bilgilere sahip olur.
  3. Maintains a base for evaluation of Empirical mathematical models and evaluation of their sub-structures.
  4. Araştırma sonuçlarını matematiksel olarak ifade ederek değerlendirir.
  5. 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).
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 ActivitiesQuantityWeight (%)
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight (%)
Final Examination1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Workload Calculation
ActivitiesQuantityTime(hours)Total Workload(hours)
Midterm Examination122
Final Examination122
Problem Solving9218
Self Study13226
Individual Study for Mid term Examination13226
Individual Study for Final Examination13226
SUM100