Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 1 / Spring Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Compulsory | ||||
| Department | ECONOMICS | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | SELİN ZENGİN TAŞDEMİR (szengin@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | SELİN ZENGİN TAŞDEMİR, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| The course is designed to provide a mathematical foundation, including integration, multivariable calculus and the matrix algebra, for those students who are enrolled in business and economics. In this course, some basic mathematical concepts and theoretical background will be introduced so that the students will be ready to tackle some problems they encounter in later courses of their field. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Can explain basic mathematical concepts and principles |
PO-10 have ability on modeling the economic theories mathematically. PO-11 have ability on defining economic variables and comment on the relationships between these variables. |
Examination |
| LO-2 | Can establish mathematical background to support other quantitative courses |
PO-10 have ability on modeling the economic theories mathematically. PO-11 have ability on defining economic variables and comment on the relationships between these variables. |
Examination |
| LO-3 | Can improve his or her analytical thinking skills |
PO-10 have ability on modeling the economic theories mathematically. PO-11 have ability on defining economic variables and comment on the relationships between these variables. |
Examination |
| LO-4 | Can improve his/her skills on solving economical problems |
PO-10 have ability on modeling the economic theories mathematically. PO-11 have ability on defining economic variables and comment on the relationships between these variables. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Theoretical background for some type of indefinite and definite integrals are introduced prior to explaining the application of definite integral for calculating the area bounded by some functions in an interval. As an application of the definite integral and calculation of area employing the definite integral, the producers' and the consumers' surpluses at market equilibrium are discussed in some detail. The multivariable functions, the partial derivative of these functions, optimization and the restricted optimization methods for multivariable functions are presented. Simple and compound interest and the present value are studied. Finally, the matrix algebra; matrix, determinants and their properties, inverse matrix, solution methods of linear equation systems and the Cramer's rule for the solution of the system of linear equations; linear programming and the field applications are discussed. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Multivariable functions; partial derivatives of multivariable functions and finding the critical points of the multivariable functions using partial derivatives | Lecturing and Problem solving method |
| 2 | The restricted optimization of multivariable functions (Lagrange multipliers method) and application of it to some related business problems | Lecturing and Problem solving method |
| 3 | Integral, indefinite integral and some basic indefinite integral integrating rules | Lecturing and Problem solving method |
| 4 | Methods of indefinite integrating (Integrating by substitution method and integrating by separating into simple fractions method) | Lecturing and Problem solving method |
| 5 | Methods of indefinite integrating (Integrating by parts) | Lecturing and Problem solving method |
| 6 | Definite integral, definition of definite integral, some definite integral integrating rules, integral finding area bounded some functions in an interval | Lecturing and Problem solving method |
| 7 | Applications of definite integral: Obtaining the producers' and the consumers' surplus using definite integral techniques | Lecturing and Problem solving method |
| 8 | mid-term exam | |
| 9 | Simple interest, compounded interest, and the present value | Lecturing and Problem solving method |
| 10 | Matrix algebra; matrices, determinants and some properties those | Lecturing and Problem solving method |
| 11 | Matrix operations and their properties, inverse matrix, matrix inversion algorithm, matrix representation of a linear system, definition of determinant, computing the determinant, Sarrus’s rule | Lecturing and Problem solving method |
| 12 | The Product rule for determinants, cofactor expansion for the determinant function, basic properties of the determinant function, finding inverse matrix using cofactor and determinant, Cramer’s Rule | Lecturing and Problem solving method |
| 13 | Solution of linear equation systems using inverse matrix and the Cramer's rule | Lecturing and Problem solving method |
| 14 | Solution of linear equation systems using inverse matrix and the Cramer's rule | Lecturing and Problem solving method |
| 15 | Linear programming: Graphical method | Lecturing and Problem solving method |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Kılavuz Emine İktisatçılar için Matematik, 3. Baskı, Seçkin Yayınevi, Ankara, 2018 | |
| Required Course instruments and materials | ||
| 1. Unutulmaz, Osman; Uygulamali Temel Matematik–2, 2. Baski, Detay Yayincilik, Ankara, 2010. (Main Text Book). 2. Aytaç, Mustafa; Mustafa Sevüktekin ve Erkan Isigicok; Sosyal Bilimlerde Matematik, 2. Baski, Ezgi Kitabevi, Bursa, 1998. 3. Hoffman, Laurence D.; Gerald L. Bradley; Calculus For Business, Economics, and The Social and Life Sciences, McGraw- Hill Inc., New York, 1992. 4. Dowling, Edward T.; Isletme ve Iktisat icin Matematiksel Yöntemler, Schaum's Outlines, (Çeviri: Ömer Faruk Çolak ve Murat Yildirimoglu), 1. Baski, Nobel Yayincilik, 2000. | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 1 | 40 |
| Other assessment methods | |||
| 1.Oral Examination | |||
| 2.Quiz | |||
| 3.Laboratory exam | |||
| 4.Presentation | |||
| 5.Report | |||
| 6.Workshop | |||
| 7.Performance Project | |||
| 8.Term Paper | |||
| 9.Project | |||
| final exam | 16 | 1 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 3 | 14 | 42 |
| Outside Class | |||
| a) Reading | 2 | 12 | 24 |
| b) Search in internet/Library | 0 | ||
| c) Performance Project | 0 | ||
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 0 | ||
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 1 | 4 | 4 |
| mid-term exam | 1 | 1 | 1 |
| Own study for final exam | 1 | 5 | 5 |
| final exam | 1 | 1 | 1 |
| 0 | |||
| 0 | |||
| Total work load; | 77 | ||