Ondokuz Mayıs Üniversitesi Bilgi Paketi - Ders Kataloğu

# Description of Individual Course Units

 Course Unit Code Course Unit Title Type of Course Year Semester ECTS TYS205 Engineering Mathematics 927001 2 3 5
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. Receives basic mathematical knowledge in the field of agriculture and irrigation structures.
2. Araştırma sonuçlarına bağlı olarak maksimizasyon ve minimizasyon doğrusal programlama modellerinin yapılması becerilerine sahip olur.
3. Toprakların su, tuz vb. gibi parametrelerinin değişimini ifade eden denklemlerin incelenmesi için derekli teorik bilgilere sahip olur.
4. Maintains base for implementation of functions with multiple variables into the research results and base for implementation of differenteial functions in application of some soil procedures.
Mode of Delivery
Formal Education
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Recommended or Required Reading
1. Bronson, R., 1989. Matris İşlemleri (Teori ve problemleri). Schaun serisinden çevri editörü Prof. Dr. H. Hilmi Hacisalihoğlu. Nobel yayın dağıtım LTD. ŞTİ,Ankara.2. Alpha C.Chiang, 1999. Matematiksel İktisadın Temel Yöntemleri. Gazi büro kitabevi, Ankara.3. Tulunay, Y., 1987. Matematik Programlama ve İşletme Uygulamaları. Bayrak matbaacılık, İstanbul.4. Evsahiboğlu,N., 1994. Mühendislik Matematiği. Ankara Üniversitesi Ziraat Fakültesi Yayınları No: 1339. Ders kitabı: 388.5. Edward T. Dowling, 1993. İşletme ve İktisad İçin Matematiksel Yöntemler (Teori ve Problemler). Schaum serisinden çevri, Nobel yayın dağıtım LTD. ŞTİ, Ankara.
Planned Learning Activities and Teaching Methods
Language of Instruction
Turkish
Work Placement(s)
None
Course Contents
Matrices. The vectors as special matrices. The sum and substraction of the matrix. Multiplication by a scalar and matrix multiplication.Further features of the product matrix. Different aspects of matrix algebra. Inverse matrices and their properties. Determinants. Determinants calculation (Triangle and Laplace rule). Basic properties of determinants. The calcuation of Inverse matrix of determinants. Rank of the matrix. The calculation of matris rank with a methodology of surroinding minors and conversion to angular matrix. Systems of linear equations. Kroneker-Kapelle theory. grammar and Solution of linear equation system through Gauss-Jordan method . A homogeneous system of linear equations. Definition of functions with several ariables. Limit and limit rules. Continuity.The concept of partial derivatives. Geometric implication of partial derivatives. Exponential partial derivatives. Composite functions and their derivatives. Total diferantials. The condition of being full Diferantial. Exponential total diferantials. Implicit differentiation.The maximum and minimum values of functions with several variables. Lagrangian multiplier method. To linear programming and linear programming model. Graphical method, the solution of linear programming models. The solution of linear programming models of maximization with Simplex method. The solution of linear programming models of miminization with Sipmlex method. Duality. Dual model and its solution.
Weekly Detailed Course Contents
 Week Theoretical Practice Laboratory 1. Matrices. The vectors as special matrices. The sum and substraction of the matrix. Multiplication by a scalar and matrix multiplication. 2. Further features of the product matrix. Different aspects of matrix algebra. Inverse matrices and their properties. 3. Determinants. Determinants calculation (Triangle and Laplace rule). Basic properties of determinants. 4. The calcuation of Inverse matrix of determinants. Rank of the matrix. The calculation of matris rank with a methodology of surroinding minors and conversion to angular matrix 5. Systems of linear equations. Kroneker-Kapelle theory. grammar and Solution of linear equation system through Gauss-Jordan method . A homogeneous system of linear equations. 6. Definition of functions with several ariables. Limit and limit rules. Continuity. 7. The concept of partial derivatives. Geometric implication of partial derivatives. Exponential partial derivatives. Composite functions and their derivatives. 8. Total diferantials. The condition of being full Diferantial. Exponential total diferantials. Implicit differentiation. 9. Mid-term exam. 10. The maximum and minimum values of functions with several variables. Lagrangian multiplier method. 11. To linear programming and linear programming model. 12. Graphical method, the solution of linear programming models. 13. The solution of linear programming models of maximization with Simplex method. 14. The solution of linear programming models of miminization with Sipmlex method. Duality. Dual model and its solution. 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 (%) SUM 0 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 2 28 Problem Solving 10 2 20 Self Study 13 2 26 Individual Study for Mid term Examination 13 2 26 Individual Study for Final Examination 13 2 26 SUM 130