Course Detail
Course Description
| Course | Code | Semester | T+P (Hour) | Credit | ECTS |
|---|---|---|---|---|---|
| MATHEMATICS I | HVY1124250 | Fall Semester | 3+0 | 3 | 5 |
| Course Program | Perşembe 15:30-16:15 Perşembe 16:30-17:15 Perşembe 17:30-18:15 |
| Prerequisites Courses | |
| Recommended Elective Courses |
| Language of Course | Turkish |
| Course Level | First Cycle (Bachelor's Degree) |
| Course Type | Required |
| Course Coordinator | Assist.Prof. Tuğba ASLAN KHALİFA |
| Name of Lecturer(s) | Assist.Prof. Uğur KAPLAN |
| 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 |
| 6.1Understands matrix notation, terminology and properties of these operations. | ||
| 1. Will be able to perform algebraic operations on the set of real numbers. | 12, 14, 16, 9 | A |
| 1.1 Establishes relationships between operations defined on real numbers. | ||
| 1.2 Performs addition, subtraction, multiplication and division on numerical fractions, exponential numbers, and radicals. | ||
| 2. Will be able to evaluate algebraic expressions. | 12, 14, 16, 9 | A |
| 2.1 Performs calculations using order of operations on algebraic expressions. | ||
| 2.2 Performs algebraic 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 Illustrates equations and inequalities. | ||
| 3.2 Finds solution sets of equations and inequalities. | ||
| 3.3 Models problems related to the field of interest using equations and inequalities. | ||
| 4. Will be able to analyze functions. | 12, 14, 16, 9 | A |
| 4.1 Understands the concept of a function and its graph, identify domain and range of a given function. | ||
| 4.2 Analyzes linear, quadratic, logarithmic, and exponential functions both algebraically and graphically. | ||
| 4.3 Obtains new function graphs by applying translation and reflection operations on basic function graphs. | ||
| 5. Will be able to interpret systems of linear equations with two or three variables. | 12, 14, 16, 9 | A |
| 5.1 Modelizes the word problems in area of interest using system of equations. | ||
| 5.2 Solves systems of linear equations in two/three variables using elimination and back substitution. | ||
| 6. Will be able to establish operations defined on matrices and matrix equations of linear equation systems. | 12, 14, 16, 9 | A |
| 6.2 Setups matrix equations for systems of linear equations. | ||
| 7. Will be able to analyze systems of linear equations with the help of matrices. | 12, 14, 16, 9 | A |
| 7.1 Solves the system of equations with the concepts of reduced matrix and inverse matrix. | ||
| 7.2 Uses input-output matrices to analyze the amount of 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 | The relevant section will be read from the book. |
| 2 | Linear and quadratic equations | The relevant section will be read from the book. |
| 3 | Linear inequalities | The relevant section will be read from the book. |
| 4 | Applications of equations and inequalities | The relevant section will be read from the book. |
| 5 | Definition of a function, domain, range, some special functions | The relevant section will be read from the book. |
| 6 | Graphs of basic functions in rectangular coordinates, symmetry, translations and reflections | The relevant section will be read from the book. |
| 7 | Linear and quadratic functions and their applications: supply and demand lines, maximum revenue | The relevant section will be read from the book. |
| 8 | Exponential and logarithmic functions and their applications: compound interest, continuous compound interest, exponential growth | The relevant section will be read from the book. |
| 9 | Systems of equations | The relevant section will be read from the book. |
| 10 | Matrix notation and matrix algebra | The relevant section will be read from the book. |
| 11 | Operations with matrices and special matrices | The relevant section will be read from the book. |
| 12 | Reduced matrix, solving linear systems using matrix reduction | The relevant section will be read from the book. |
| 13 | Finding inverse of a matrix and solving linear systems using inverse matrix | The relevant section will be read from the book. |
| 14 | Input–output analysis | The relevant section will be read from the book. |
| 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 | Defines the theoretical knowledge in the field of aviation management. | ||||||
| 2 | Explains the necessary of mathematical and statistical methods in the field of aviation management. | X | |||||
| 3 | Uses at least one computer program required in the field of aviation management. | ||||||
| 4 | Demonstrates proficiency in foreign language proficiency required in the field of aviation management. | ||||||
| 5 | Prepares projects about his field and manages team works. | ||||||
| 6 | It critically evaluates the knowledge and skills that it constantly renews and acquires by following the developments in the field of Aviation management with the awareness of lifelong learning in the professional field, | ||||||
| 7 | Uses theoretical and practical information in the field of aviation management. | X | |||||
| 8 | Follows up to date technologies and communicates verbally/writing using a foreign language at least A2 level. | ||||||
| 9 | Adopts and uses organizational / corporate, business and social ethical values. | ||||||
| 10 | It adopts social responsibility principles and takes initiative when necessary, within the framework of public service sensitivity. | ||||||
| 11 | In order to carry out interdisciplinary studies, analyze basic information and data in different disciplines and use them in the field. | X | |||||
| 12 | It offers appropriate suggestions in both micro and macro frameworks in the face of problems in the aviation management sectors. | ||||||
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 | 3 | 42 | |||
| Guided Problem Solving | 14 | 1 | 14 | |||
| 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 | 1 | 2 | |||
| Midterm Exam | 1 | 36 | 36 | |||
| General Exam | 1 | 46 | 46 | |||
| Performance Task, Maintenance Plan | 0 | 0 | 0 | |||
| Total Workload(Hour) | 150 | |||||
| Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(150/30) | 5 | |||||
| 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 | HVY1124250 | Fall Semester | 3+0 | 3 | 5 |
| Course Program | Perşembe 15:30-16:15 Perşembe 16:30-17:15 Perşembe 17:30-18:15 |
| Prerequisites Courses | |
| Recommended Elective Courses |
| Language of Course | Turkish |
| Course Level | First Cycle (Bachelor's Degree) |
| Course Type | Required |
| Course Coordinator | Assist.Prof. Tuğba ASLAN KHALİFA |
| Name of Lecturer(s) | Assist.Prof. Uğur KAPLAN |
| 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 |
| 6.1Understands matrix notation, terminology and properties of these operations. | ||
| 1. Will be able to perform algebraic operations on the set of real numbers. | 12, 14, 16, 9 | A |
| 1.1 Establishes relationships between operations defined on real numbers. | ||
| 1.2 Performs addition, subtraction, multiplication and division on numerical fractions, exponential numbers, and radicals. | ||
| 2. Will be able to evaluate algebraic expressions. | 12, 14, 16, 9 | A |
| 2.1 Performs calculations using order of operations on algebraic expressions. | ||
| 2.2 Performs algebraic 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 Illustrates equations and inequalities. | ||
| 3.2 Finds solution sets of equations and inequalities. | ||
| 3.3 Models problems related to the field of interest using equations and inequalities. | ||
| 4. Will be able to analyze functions. | 12, 14, 16, 9 | A |
| 4.1 Understands the concept of a function and its graph, identify domain and range of a given function. | ||
| 4.2 Analyzes linear, quadratic, logarithmic, and exponential functions both algebraically and graphically. | ||
| 4.3 Obtains new function graphs by applying translation and reflection operations on basic function graphs. | ||
| 5. Will be able to interpret systems of linear equations with two or three variables. | 12, 14, 16, 9 | A |
| 5.1 Modelizes the word problems in area of interest using system of equations. | ||
| 5.2 Solves systems of linear equations in two/three variables using elimination and back substitution. | ||
| 6. Will be able to establish operations defined on matrices and matrix equations of linear equation systems. | 12, 14, 16, 9 | A |
| 6.2 Setups matrix equations for systems of linear equations. | ||
| 7. Will be able to analyze systems of linear equations with the help of matrices. | 12, 14, 16, 9 | A |
| 7.1 Solves the system of equations with the concepts of reduced matrix and inverse matrix. | ||
| 7.2 Uses input-output matrices to analyze the amount of 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 | The relevant section will be read from the book. |
| 2 | Linear and quadratic equations | The relevant section will be read from the book. |
| 3 | Linear inequalities | The relevant section will be read from the book. |
| 4 | Applications of equations and inequalities | The relevant section will be read from the book. |
| 5 | Definition of a function, domain, range, some special functions | The relevant section will be read from the book. |
| 6 | Graphs of basic functions in rectangular coordinates, symmetry, translations and reflections | The relevant section will be read from the book. |
| 7 | Linear and quadratic functions and their applications: supply and demand lines, maximum revenue | The relevant section will be read from the book. |
| 8 | Exponential and logarithmic functions and their applications: compound interest, continuous compound interest, exponential growth | The relevant section will be read from the book. |
| 9 | Systems of equations | The relevant section will be read from the book. |
| 10 | Matrix notation and matrix algebra | The relevant section will be read from the book. |
| 11 | Operations with matrices and special matrices | The relevant section will be read from the book. |
| 12 | Reduced matrix, solving linear systems using matrix reduction | The relevant section will be read from the book. |
| 13 | Finding inverse of a matrix and solving linear systems using inverse matrix | The relevant section will be read from the book. |
| 14 | Input–output analysis | The relevant section will be read from the book. |
| 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 | Defines the theoretical knowledge in the field of aviation management. | ||||||
| 2 | Explains the necessary of mathematical and statistical methods in the field of aviation management. | X | |||||
| 3 | Uses at least one computer program required in the field of aviation management. | ||||||
| 4 | Demonstrates proficiency in foreign language proficiency required in the field of aviation management. | ||||||
| 5 | Prepares projects about his field and manages team works. | ||||||
| 6 | It critically evaluates the knowledge and skills that it constantly renews and acquires by following the developments in the field of Aviation management with the awareness of lifelong learning in the professional field, | ||||||
| 7 | Uses theoretical and practical information in the field of aviation management. | X | |||||
| 8 | Follows up to date technologies and communicates verbally/writing using a foreign language at least A2 level. | ||||||
| 9 | Adopts and uses organizational / corporate, business and social ethical values. | ||||||
| 10 | It adopts social responsibility principles and takes initiative when necessary, within the framework of public service sensitivity. | ||||||
| 11 | In order to carry out interdisciplinary studies, analyze basic information and data in different disciplines and use them in the field. | X | |||||
| 12 | It offers appropriate suggestions in both micro and macro frameworks in the face of problems in the aviation management sectors. | ||||||
Assessment Methods
| Contribution Level | Absolute Evaluation | |
| Rate of Midterm Exam to Success | 40 | |
| Rate of Final Exam to Success | 60 | |
| Total | 100 | |