| Code | Name of the Course Unit | Semester | In-Class Hours (T+P) | Credit | ECTS Credit |
|---|---|---|---|---|---|
| MIS110 | BUSINESS MATHEMATICS | 2 | 3 | 3 | 6 |
GENERAL INFORMATION |
|
|---|---|
| Language of Instruction : | English |
| Level of the Course Unit : | BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle |
| Type of the Course : | Compulsory |
| Mode of Delivery of the Course Unit | - |
| Coordinator of the Course Unit | Assist.Prof. DİDEM TETİK KÜÇÜKELÇİ |
| Instructor(s) of the Course Unit | Assist.Prof. YILDIZ AYDIN |
| Course Prerequisite | No |
OBJECTIVES AND CONTENTS |
|
|---|---|
| Objectives of the Course Unit: | This course aims to introduce the most important mathematical tools and methods in business and economics environments and to teach the basic principles of mathematics. |
| Contents of the Course Unit: | Contents of the course include the subjects such as linear algebra-matrices, vectors, geometric series and interest calculations, coordinates, linear optimization, limit and applications, derivative and applications, integral and applications. |
KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to) |
|---|
| Performs operations on the matrix. (Application, Blooms' 3) |
| Defines Echelon Form of Matrix, can count Elementary Row Operations. (Knowledge, Blooms' 1) |
| Converts a given matrix into row Echelon Form. Finds the inverse of the Square Matrix. (Application, Blooms' 3) |
| Finds solution set of linear equation systems with Gauss-Jordan Elimination Method. (Application, Blooms' 3) |
| Analyze the linear independence of the given vectors. (Analysis, Blooms' 4) |
| Finds the inverse of a given square matrix with the help of a determinant and obtains the solution of the linear equation system with Cramer's rule. (Application, Blooms' 3) |
| Makes input-output analysis of sectors with matrix and determinant and demand table. (Analysis, Blooms' 4) |
| Given the interest rate and annuity amount, Calculates the amount of installments to be paid in the future or retrospectively. (Analysis, Blooms' 4) |
| Calculates Marginal revenue, marginal cost and maximum profit by using derivatives. (Analysis, Blooms' 4) |
| Uses integration methods, shows the consumer and producer surplus on the graph and finds its value. (Insight, Blooms' 2)(Analysis, Blooms' 4) |
WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY |
|||
|---|---|---|---|
| Week | Preparatory | Topics(Subjects) | Method |
| 1 | Literature Review | Business Applications of Limit, Continuous Compound Interest | Lecture & Problem Solving |
| 2 | Literature Review | Business Applications of Derivative, Marginal Revenue and Marginal Cost Concepts | Lecture & Problem Solving |
| 3 | Literature Review | Antiderivative, Integration Methods, Variable Transformation, Partial Integration | Lecture & Problem Solving |
| 4 | Literature Review | Integration with Partial Fractions Method | Lecture & Problem Solving |
| 5 | Literature Review | Definite Integral, Consumer and Producer Surplus | Lecture & Problem Solving |
| 6 | Literature Review | Arithmetic Series and Simple Interest, Geometric Series and Compound Interest, Future and Present Value of an Investment | Lecture & Problem Solving |
| 7 | Literature Review | Anuites and their Present and Future Value, | Lecture & Problem Solving |
| 8 | Literature Review | Linear Equations and Joint Solutions, Zero Profit and Market Equilibrium | Lecture & Problem Solving |
| 9 | Literature Review | Matrices and Operations on Matrices, Matrix Inverse and Echelon Form Definitions | Lecture & Problem Solving |
| 10 | - | MID-TERM EXAM | - |
| 11 | Literature Review | Systems of Linear Equations, Gauss-Jordan Elimination Method, Finding the Inverse Matrix | Lecture & Problem Solving |
| 12 | Literature Review | Vectors and Vector Operations, Geometric Interpretation of Vector Operations, Linear Independence | Lecture & Problem Solving |
| 13 | Literature Review | Determinants, Determinant of 2x2 and 3x3 Type Matrices, Calculation of Determinant with Minors | Lecture & Problem Solving |
| 14 | Literature Review | Adjoint Matrix of a Square Matrix, Finding the Inverse of the Matrix with the Adjoint Matrix, Cramer's Rule | Lecture & Problem Solving |
| 15 | Literature Review | Input-Output Analysis | Lecture & Problem Solving |
| 16 | - | FINAL EXAM | - |
| 17 | - | FINAL EXAM | - |
SOURCE MATERIALS & RECOMMENDED READING |
|---|
| Didem TETİK KÜÇÜKELÇİ, Deniz ALTUN, Yıldız AYDIN, Nesibe MANAV MUTLU, Matematik: İktisadi ve İdari Bilimler Fakülteleri İçin, İGÜ Yayınları, |
ASSESSMENT |
||||
|---|---|---|---|---|
| Assessment & Grading of In-Term Activities | Number of Activities | Degree of Contribution (%) | Description | Examination Method |
| Level of Contribution | |||||
|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 |
WORKLOAD & ECTS CREDITS OF THE COURSE UNIT |
|||
|---|---|---|---|
Workload for Learning & Teaching Activities |
|||
| Type of the Learning Activites | Learning Activities (# of week) | Duration (hours, h) | Workload (h) |
| Lecture & In-Class Activities | 0 | 0 | 0 |
| Preliminary & Further Study | 0 | 0 | 0 |
| Land Surveying | 0 | 0 | 0 |
| Group Work | 0 | 0 | 0 |
| Laboratory | 0 | 0 | 0 |
| Reading | 0 | 0 | 0 |
| Assignment (Homework) | 0 | 0 | 0 |
| Project Work | 0 | 0 | 0 |
| Seminar | 0 | 0 | 0 |
| Internship | 0 | 0 | 0 |
| Technical Visit | 0 | 0 | 0 |
| Web Based Learning | 0 | 0 | 0 |
| Implementation/Application/Practice | 0 | 0 | 0 |
| Practice at a workplace | 0 | 0 | 0 |
| Occupational Activity | 0 | 0 | 0 |
| Social Activity | 0 | 0 | 0 |
| Thesis Work | 0 | 0 | 0 |
| Field Study | 0 | 0 | 0 |
| Report Writing | 0 | 0 | 0 |
| Final Exam | 0 | 0 | 0 |
| Preparation for the Final Exam | 0 | 0 | 0 |
| Mid-Term Exam | 0 | 0 | 0 |
| Preparation for the Mid-Term Exam | 0 | 0 | 0 |
| Short Exam | 0 | 0 | 0 |
| Preparation for the Short Exam | 0 | 0 | 0 |
| TOTAL | 0 | 0 | 0 |
| Total Workload of the Course Unit | 0 | ||
| Workload (h) / 25.5 | 0 | ||
| ECTS Credits allocated for the Course Unit | 0,0 |