| Learning Outcomes |
PO |
MME |
| The students who succeeded in this course: |
|
|
| LO-1 |
Be able to explain basic mathematical concepts and principles. |
PO-12 become skilful at maths, econometrics and statistics, making more effective decisions with econometric and statistical analysis. Furthermore, they are capable of predicting the outcomes of these decisions and interpreting the cause and effect relation.
|
Examination
|
| LO-2 |
Be able to establish mathematical background to support other quantitative courses. |
PO-12 become skilful at maths, econometrics and statistics, making more effective decisions with econometric and statistical analysis. Furthermore, they are capable of predicting the outcomes of these decisions and interpreting the cause and effect relation.
|
Examination
|
| LO-3 |
Be able to develop his or her analytic thinking skills. |
PO-12 become skilful at maths, econometrics and statistics, making more effective decisions with econometric and statistical analysis. Furthermore, they are capable of predicting the outcomes of these decisions and interpreting the cause and effect relation.
|
Examination
|
| LO-4 |
Be able to develop his/her skills on solving business problems. |
PO-12 become skilful at maths, econometrics and statistics, making more effective decisions with econometric and statistical analysis. Furthermore, they are capable of predicting the outcomes of these decisions and interpreting the cause and effect relation.
|
Examination
|
PO: Programme Outcomes
MME:Method of measurement & Evaluation |
| 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 |
Unutulmaz, Osman; Uygulamalı Temel Matematik–2, 2. Baskı, Detay Yayıncılık, Ankara, 2010. |
| 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. |
