## Course Detail

## Course Description

Course | Code | Semester | T+P (Hour) | Credit | ECTS |
---|---|---|---|---|---|

MATHEMATICS I | ECO1124480 | Fall Semester | 3+0 | 3 | 4 |

Course Program | Cuma 09:00-09:45 Cuma 10:00-10:45 Cuma 11:00-11:45 |

Prerequisites Courses | |

Recommended Elective Courses |

Language of Course | English |

Course Level | First Cycle (Bachelor's Degree) |

Course Type | Required |

Course Coordinator | Assist.Prof. Tuğba ASLAN KHALİFA |

Name of Lecturer(s) | Assist.Prof. Tuğba ASLAN KHALİFA |

Assistant(s) | |

Aim | The aim of this mathematics course is to equip students with the essential mathematical knowledge and skills necessary to excel in the world of business and economics. This course seeks to provide a solid foundation in mathematical concepts and techniques that are directly applicable to real-world business scenarios, enabling students to make informed decisions, solve practical problems, and enhance their quantitative reasoning abilities in a business context. |

Course Content | This course contains; Number systems and algebraic expressions,Linear and quadratic equations,Linear inequalities,Applications of equations and inequalities,Definition of a function, domain, range, some special functions ,Graphs of basic functions in rectangular coordinates, symmetry, translations and reflections,Linear and quadratic functions and their applications: supply and demand lines, maximum revenue,Exponential and logarithmic functions and their applications: compound interest, continuous compound interest, exponential growth,Systems of equations,Matrix notation and matrix algebra,Operations with matrices and special matrices,Reduced matrix, solving linear systems using matrix reduction,Finding inverse of a matrix and solving linear systems using inverse matrix,Input–output analysis. |

Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |

1. Will be able to performs algebraic operations on the set of real numbers. | 12, 14, 16, 9 | A |

1.1 Name, illustrate, and relate properties of the real numbers in terms of their operations. | ||

1.2 Perform addition, subtraction, multiplication and division on numerical fractions, exponential numbers, and radicals. | ||

2. Will be able to evaluate and simplify algebraic expressions. | 12, 14, 16, 9 | A |

2.1 Perform calculations using order of operations on algebraic expressions. | ||

2.2 Knowledges about algebraic operations and simplification operations on both polynomial and rational expressions. | ||

3. Will be able to find solution sets of equations and inequalities. | 12, 14, 16, 9 | A |

3.1 Illustrate equations and inequalities. | ||

3.2 Find solution sets of equations and inequalities. | ||

3.3 Set and solve word problems related to the field of interest using equations and inequalities. | ||

4. Will be able to defines illustrate and analyze functions. | 12, 14, 16, 9 | A |

4.1 Analyzes the concept of a function and its graph, identify domain and range of a given function. | ||

4.2 Analyze linear, quadratic, logarithmic, and exponential functions both algebraically and graphically, and know applications in business and economic sciences that use such functions as models, such as supply-demand lines, maximum income, compound interest, and exponential growth. | ||

4.3 Obtains new function graphs by applying translation and reflection operations on basic function graphs. | ||

5. Will be able to solve systems of linear equations with two/three variables using various methods, such as substitution, elimination, and interpret solutions in a real-world context. | 12, 14, 16, 9 | A |

5.1 Model the word problems in area of interest using system of equations. | ||

5.2 Solve systems of linear equations in two/three variables using elimination and back substitution. | ||

6. Will be able to explain the concept of matrices, perform operations defined on matrices, and set up matrix equations of linear system of equations. | 12, 14, 16, 9 | A |

6.1 Analayzes matrix notation and terminology, and perform basic matrix operations, including addition, subtraction, scalar multiplication, and matrix multiplication, and understand the properties of these operations. | ||

6.2 Set up matrix equations for linear systems equations and find the coefficient and augmented matrix of a system. | ||

7. Will be able to analyzes systems of linear equations with the help of matrices. | 12, 14, 16, 9 | A |

7.1 Use matrix reduction and inverse of a matrix to solve a linear system. | ||

7.2 Use input-output matrices to analyze the production of sectors of an economy. |

Teaching Methods: | 12: Problem Solving Method, 14: Self Study Method, 16: Question - Answer Technique, 9: Lecture Method |

Assessment Methods: | A: Traditional Written Exam |

## Course Outline

Order | Subjects | Preliminary Work |
---|---|---|

1 | Number systems and algebraic expressions | |

2 | Linear and quadratic equations | |

3 | Linear inequalities | |

4 | Applications of equations and inequalities | |

5 | Definition of a function, domain, range, some special functions | |

6 | Graphs of basic functions in rectangular coordinates, symmetry, translations and reflections | |

7 | Linear and quadratic functions and their applications: supply and demand lines, maximum revenue | |

8 | Exponential and logarithmic functions and their applications: compound interest, continuous compound interest, exponential growth | |

9 | Systems of equations | |

10 | Matrix notation and matrix algebra | |

11 | Operations with matrices and special matrices | |

12 | Reduced matrix, solving linear systems using matrix reduction | |

13 | Finding inverse of a matrix and solving linear systems using inverse matrix | |

14 | Input–output analysis |

Resources |

Main sources: 1. Lecture Notes shared by instructor 2. Main text: Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences, 14th Edition by Ernest F. Haeussler, Jr., Richard S. Paul, and Richard J. Wood, published by Pearson Education 2019. |

Other Recommended Sources: Calculus for Business, Economics, Life Sciences, and Social Sciences, 14th edition Published by Pearson (2021), R. A. Barnett, M: R: Ziegler, K. E. Byleen. Fundamental methods of mathematical economics, Kevin Wainwright, 2005, McGraw Hill Education, 4th Edition İşletme Matematiği, Bülent Kobu, 2009, Beta Basım Yayım Dağıtım, 8. Edition |

## Course Contribution to Program Qualifications

Course Contribution to Program Qualifications | |||||||

No | Program Qualification | Contribution Level | |||||

1 | 2 | 3 | 4 | 5 | |||

1 | (S)he describes theoretical knowledge in economics and finance. | X | |||||

2 | (S)he explains mathematical and statistical methods needed for economics and finance. | X | |||||

3 | (S)he uses at least one computer program utilized for economic and financial analyses (SPSS, Eviews, STATA, R ve MATLAB). | ||||||

4 | (S)he has the foreign language proficiency necessary for economics and finance. | ||||||

5 | (S)he develops projects in the field and handles team work. | ||||||

6 | (S)he develops (her) his awareness of lifetime learning, follows the developments in (her) his field and adopts a critical approach. | X | |||||

7 | (S)he uses theoretical and practical knowledge on economics and finance. | X | |||||

8 | (S)he delivers (her) his opinions by making effective use of modern technologies and of at least one foreign language at a minimum level of level C1. | ||||||

9 | (S)he adopts and uses organizational, corporate and social ethical values. | ||||||

10 | (S)he adopts principles of social responsibility and acts whenever needed in light of social service sensitivity. | ||||||

11 | (S)he analyzes and uses basic knowledge and data regarding different disciplines to conduct inter-disciplinary studies. | X | |||||

12 | (S)he benefits from (her) his proficiency in economics and finance to make policy suggestions and contribute to the field. |

## Assessment Methods

Contribution Level | Absolute Evaluation | |

Rate of Midterm Exam to Success | 40 | |

Rate of Final Exam to Success | 60 | |

Total | 100 |

ECTS / Workload Table | ||||||

Activities | Number of | Duration(Hour) | Total Workload(Hour) | |||

Course Hours | 14 | 2 | 28 | |||

Guided Problem Solving | 0 | 0 | 0 | |||

Resolution of Homework Problems and Submission as a Report | 2 | 5 | 10 | |||

Term Project | 0 | 0 | 0 | |||

Presentation of Project / Seminar | 0 | 0 | 0 | |||

Quiz | 2 | 10 | 20 | |||

Midterm Exam | 1 | 30 | 30 | |||

General Exam | 1 | 30 | 30 | |||

Performance Task, Maintenance Plan | 0 | 0 | 0 | |||

Total Workload(Hour) | 118 | |||||

Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(118/30) | 4 | |||||

ECTS of the course: 30 hours of work is counted as 1 ECTS credit. |

## Detail Informations of the Course

### Course Description

Course | Code | Semester | T+P (Hour) | Credit | ECTS |
---|---|---|---|---|---|

MATHEMATICS I | ECO1124480 | Fall Semester | 3+0 | 3 | 4 |

Course Program | Cuma 09:00-09:45 Cuma 10:00-10:45 Cuma 11:00-11:45 |

Prerequisites Courses | |

Recommended Elective Courses |

Language of Course | English |

Course Level | First Cycle (Bachelor's Degree) |

Course Type | Required |

Course Coordinator | Assist.Prof. Tuğba ASLAN KHALİFA |

Name of Lecturer(s) | Assist.Prof. Tuğba ASLAN KHALİFA |

Assistant(s) | |

Aim | The aim of this mathematics course is to equip students with the essential mathematical knowledge and skills necessary to excel in the world of business and economics. This course seeks to provide a solid foundation in mathematical concepts and techniques that are directly applicable to real-world business scenarios, enabling students to make informed decisions, solve practical problems, and enhance their quantitative reasoning abilities in a business context. |

Course Content | This course contains; Number systems and algebraic expressions,Linear and quadratic equations,Linear inequalities,Applications of equations and inequalities,Definition of a function, domain, range, some special functions ,Graphs of basic functions in rectangular coordinates, symmetry, translations and reflections,Linear and quadratic functions and their applications: supply and demand lines, maximum revenue,Exponential and logarithmic functions and their applications: compound interest, continuous compound interest, exponential growth,Systems of equations,Matrix notation and matrix algebra,Operations with matrices and special matrices,Reduced matrix, solving linear systems using matrix reduction,Finding inverse of a matrix and solving linear systems using inverse matrix,Input–output analysis. |

Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |

1. Will be able to performs algebraic operations on the set of real numbers. | 12, 14, 16, 9 | A |

1.1 Name, illustrate, and relate properties of the real numbers in terms of their operations. | ||

1.2 Perform addition, subtraction, multiplication and division on numerical fractions, exponential numbers, and radicals. | ||

2. Will be able to evaluate and simplify algebraic expressions. | 12, 14, 16, 9 | A |

2.1 Perform calculations using order of operations on algebraic expressions. | ||

2.2 Knowledges about algebraic operations and simplification operations on both polynomial and rational expressions. | ||

3. Will be able to find solution sets of equations and inequalities. | 12, 14, 16, 9 | A |

3.1 Illustrate equations and inequalities. | ||

3.2 Find solution sets of equations and inequalities. | ||

3.3 Set and solve word problems related to the field of interest using equations and inequalities. | ||

4. Will be able to defines illustrate and analyze functions. | 12, 14, 16, 9 | A |

4.1 Analyzes the concept of a function and its graph, identify domain and range of a given function. | ||

4.2 Analyze linear, quadratic, logarithmic, and exponential functions both algebraically and graphically, and know applications in business and economic sciences that use such functions as models, such as supply-demand lines, maximum income, compound interest, and exponential growth. | ||

4.3 Obtains new function graphs by applying translation and reflection operations on basic function graphs. | ||

5. Will be able to solve systems of linear equations with two/three variables using various methods, such as substitution, elimination, and interpret solutions in a real-world context. | 12, 14, 16, 9 | A |

5.1 Model the word problems in area of interest using system of equations. | ||

5.2 Solve systems of linear equations in two/three variables using elimination and back substitution. | ||

6. Will be able to explain the concept of matrices, perform operations defined on matrices, and set up matrix equations of linear system of equations. | 12, 14, 16, 9 | A |

6.1 Analayzes matrix notation and terminology, and perform basic matrix operations, including addition, subtraction, scalar multiplication, and matrix multiplication, and understand the properties of these operations. | ||

6.2 Set up matrix equations for linear systems equations and find the coefficient and augmented matrix of a system. | ||

7. Will be able to analyzes systems of linear equations with the help of matrices. | 12, 14, 16, 9 | A |

7.1 Use matrix reduction and inverse of a matrix to solve a linear system. | ||

7.2 Use input-output matrices to analyze the production of sectors of an economy. |

Teaching Methods: | 12: Problem Solving Method, 14: Self Study Method, 16: Question - Answer Technique, 9: Lecture Method |

Assessment Methods: | A: Traditional Written Exam |

### Course Outline

Order | Subjects | Preliminary Work |
---|---|---|

1 | Number systems and algebraic expressions | |

2 | Linear and quadratic equations | |

3 | Linear inequalities | |

4 | Applications of equations and inequalities | |

5 | Definition of a function, domain, range, some special functions | |

6 | Graphs of basic functions in rectangular coordinates, symmetry, translations and reflections | |

7 | Linear and quadratic functions and their applications: supply and demand lines, maximum revenue | |

8 | Exponential and logarithmic functions and their applications: compound interest, continuous compound interest, exponential growth | |

9 | Systems of equations | |

10 | Matrix notation and matrix algebra | |

11 | Operations with matrices and special matrices | |

12 | Reduced matrix, solving linear systems using matrix reduction | |

13 | Finding inverse of a matrix and solving linear systems using inverse matrix | |

14 | Input–output analysis |

Resources |

Main sources: 1. Lecture Notes shared by instructor 2. Main text: Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences, 14th Edition by Ernest F. Haeussler, Jr., Richard S. Paul, and Richard J. Wood, published by Pearson Education 2019. |

Other Recommended Sources: Calculus for Business, Economics, Life Sciences, and Social Sciences, 14th edition Published by Pearson (2021), R. A. Barnett, M: R: Ziegler, K. E. Byleen. Fundamental methods of mathematical economics, Kevin Wainwright, 2005, McGraw Hill Education, 4th Edition İşletme Matematiği, Bülent Kobu, 2009, Beta Basım Yayım Dağıtım, 8. Edition |

### Course Contribution to Program Qualifications

Course Contribution to Program Qualifications | |||||||

No | Program Qualification | Contribution Level | |||||

1 | 2 | 3 | 4 | 5 | |||

1 | (S)he describes theoretical knowledge in economics and finance. | X | |||||

2 | (S)he explains mathematical and statistical methods needed for economics and finance. | X | |||||

3 | (S)he uses at least one computer program utilized for economic and financial analyses (SPSS, Eviews, STATA, R ve MATLAB). | ||||||

4 | (S)he has the foreign language proficiency necessary for economics and finance. | ||||||

5 | (S)he develops projects in the field and handles team work. | ||||||

6 | (S)he develops (her) his awareness of lifetime learning, follows the developments in (her) his field and adopts a critical approach. | X | |||||

7 | (S)he uses theoretical and practical knowledge on economics and finance. | X | |||||

8 | (S)he delivers (her) his opinions by making effective use of modern technologies and of at least one foreign language at a minimum level of level C1. | ||||||

9 | (S)he adopts and uses organizational, corporate and social ethical values. | ||||||

10 | (S)he adopts principles of social responsibility and acts whenever needed in light of social service sensitivity. | ||||||

11 | (S)he analyzes and uses basic knowledge and data regarding different disciplines to conduct inter-disciplinary studies. | X | |||||

12 | (S)he benefits from (her) his proficiency in economics and finance to make policy suggestions and contribute to the field. |

### Assessment Methods

Contribution Level | Absolute Evaluation | |

Rate of Midterm Exam to Success | 40 | |

Rate of Final Exam to Success | 60 | |

Total | 100 |