SECTION I: GENERAL INFORMATION ABOUT THE COURSE |
Course Code | Course Name | Year | Semester | Theoretical | Practical | Credit | ECTS |
60541TAEOZ-MTH3011 | Business Mathematics I | 1 | Fall | 3 | 0 | 3 | 5 |
Course Type : | Compulsory |
Cycle: | Bachelor TQF-HE:6. Master`s Degree QF-EHEA:First Cycle EQF-LLL:6. Master`s Degree |
Language of Instruction: | English |
Prerequisities and Co-requisities: | N/A |
Mode of Delivery: | Face to face |
Name of Coordinator: | Instructor GÜRKAN ŞASİ |
Dersin Öğretim Eleman(lar)ı: |
Instructor GÜRKAN ŞASİ |
Dersin Kategorisi: | Field Specific |
SECTION II: INTRODUCTION TO THE COURSE |
Course Objectives: | The course objective is to transmit to the studient the fundamentals on functions, their limits and differential calculus and graphical representation of some basic functions. The course also aims to give to the studient mathematical knowledge necessary for following up other courses as microeconomy, operations research etc. |
Course Content: | 1. Week : Preliminaries (solving inequalities and equations, absolute value, rational expressions, factoring, quadratic equations, simplifications), 2. Week : Sets, binary relations and functions. Classification of functions. 3. Week : Real functions of one real variable – Domain definition of functions. 4. Week : Quiz I. Operations with functions and properties, inverse function and composition of functions. 5. Week : Graphs of some fundamental functions (Linear and quadratic functions). 6. Week : Graphs of some fundamental functions (Exponential and logarithmic functions and their properties). 7. Week : Limit of a function, limit from the right, limit from the left and operations with limits. 8. Week : MidTerm. 9. Week : Limits of indeterminate forms and calculs of indeterminate limits. 10. Week : Limits of indeterminate forms and calculs of indeterminate limits. 11. Week : Meaning of the derivative of a function. Derivative rules for algebric functions. 12. Week : Derivative rules for algebric, irrational and resultant functions. 13. Week : Quiz II. Derivative rules for trigonometric, inverse trigonometric, exponential and logarithmic functions. 14. Week : Derivative for parametric and implicite functions. |
Knowledge (Described as Theoritical and/or Factual Knowledge.) | ||
1) Understand the basic concepts of mathematics and mathematical logic. |
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Skills (Describe as Cognitive and/or Practical Skills.) | ||
1) Understand the fundamentals of mathematical sets, operations with sets, binary relations and functions as well as their applications. |
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2) Represent basics functions graphically and interpret them. |
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3) Calculate the limits and derivatives of one real variable real functions and interpret their meanings. |
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Competences (Described as "Ability of the learner to apply knowledge and skills autonomously with responsibility", "Learning to learn"," Communication and social" and "Field specific" competences.) | ||
1) Understand and take correctly necessary decisions facing management problems, using his knowledge of mathematic concepts and mathematical logic. |
Week | Subject | ||
Related Preparation | Further Study | ||
1) | Preliminaries (solving inequalities and equations, absolute value, rational expressions, factoring, quadratic equations, simplifications), | Richard J. Wood,Richard S. Paul,Ernest F. Haeussler | |
2) | Functions and Graphs, Lines, Parabolas and Linear Functions, | ||
3) | Real functions of one real variable – Domain definition of functions. | ||
4) | Operations with functions and properties, inverse function and composition of functions. | ||
5) | Graphs of some fundamental functions (Linear and quadratic functions). | ||
6) | Graphs of some fundamental functions (Exponential and logarithmic functions and their properties). | ||
7) | Limit of a function, limit from the right, limit from the left and operations with limits. | ||
8) | Midterm. | ||
9) | Limits of indeterminate forms and calculations of indeterminate limits. | ||
10) | Continuity, Differentiation | ||
11) | Differentiation, Rules for Differentiation | ||
12) | The Product and Quotient Rule, The Chain Rule, Derivatives of Logarithmic and Exponential Functions, Derivatives of Implicit Functions. | ||
13) | Applications of Derivatives, Marginal Analysis. | ||
14) | Curve Sketching, Optimization |
Course Notes / Textbooks: | 1."Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood, 14th Edition, Pearson,2018. ISBN-13:978-0134141107 2.“Calculus for Business, Economics, Life Sciences, and Social Sciences” 13th Edition by R.A. Barnett, M.R. Ziegler, K.E. Byleen, Prentice Hall,2014.ISBN-13:978-0321869838 3.Genel Matematik I: İşletme ve İktisat İçin, Mehmet Pekkaya. 4. Genel Matematik II: İşletme ve İktisat İçin, Mehmet Pekkaya. 5. İşletmeciler ve İktisatçılar için Matematik, Doğan Uysal. 6. İktisat ve İşletme Uygulamalı Genel Matematik,Esen Ağalı 7.İşletme matematiği- Bülent Kobu 8. İşletme matematiği-Ömer Önalan |
References: |
SECTION III: RELATIONSHIP BETWEEN COURSE UNIT AND COURSE LEARNING OUTCOMES (CLOs) |
CLOs/PLOs | KPLO 1 | KPLO 2 | KPLO 3 | KPLO 4 | KPLO 5 | ||||||||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 1 | 2 | 3 | 4 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 1 | 2 | 3 | 4 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
CLO1 | |||||||||||||||||||||||||||||||||||
CLO2 | |||||||||||||||||||||||||||||||||||
CLO3 | |||||||||||||||||||||||||||||||||||
CLO4 | |||||||||||||||||||||||||||||||||||
CLO5 |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
SECTION IV: TEACHING-LEARNING & ASSESMENT-EVALUATION METHODS OF THE COURSE |
Lectures | |
Discussion | |
Case Study | |
Problem Solving | |
Demonstration | |
Views | |
Laboratory | |
Reading | |
Homework | |
Project Preparation | |
Thesis Preparation | |
Peer Education | |
Seminar | |
Technical Visit | |
Course Conference | |
Brain Storming | |
Questions Answers | |
Individual and Group Work | |
Role Playing-Animation-Improvisation | |
Active Participation in Class |
Midterm | |
Presentation | |
Final Exam | |
Quiz | |
Report Evaluation | |
Homework Evaluation | |
Oral Exam | |
Thesis Defense | |
Jury Evaluation | |
Practice Exam | |
Evaluation of Implementation Training in the Workplace | |
Active Participation in Class | |
Participation in Discussions |
LEARNING & TEACHING METHODS | ASSESMENT & EVALUATION METHODS | ||||||||||||||||||||
CLO1 | CLO2 | CLO3 | CLO4 | CLO5 | |||||||||||||||||
-Lectures | -Midterm | ||||||||||||||||||||
-Discussion | -Presentation | ||||||||||||||||||||
-Case Study | -Final Exam | ||||||||||||||||||||
-Problem Solving | -Quiz | ||||||||||||||||||||
-Demonstration | -Report Evaluation | ||||||||||||||||||||
-Views | -Homework Evaluation | ||||||||||||||||||||
-Laboratory | -Oral Exam | ||||||||||||||||||||
-Reading | -Thesis Defense | ||||||||||||||||||||
-Homework | -Jury Evaluation | ||||||||||||||||||||
-Project Preparation | -Practice Exam | ||||||||||||||||||||
-Thesis Preparation | -Evaluation of Implementation Training in the Workplace | ||||||||||||||||||||
-Peer Education | -Active Participation in Class | ||||||||||||||||||||
-Seminar | - Participation in Discussions | ||||||||||||||||||||
-Technical Visit | |||||||||||||||||||||
-Course Conference | |||||||||||||||||||||
-Brain Storming | |||||||||||||||||||||
-Questions Answers | |||||||||||||||||||||
-Individual and Group Work | |||||||||||||||||||||
-Role Playing-Animation-Improvisation | |||||||||||||||||||||
-Active Participation in Class |
Measurement and Evaluation Methods | # of practice per semester | Level of Contribution |
Quizzes | 3 | % 15.00 |
Midterms | 1 | % 35.00 |
Semester Final Exam | 1 | % 50.00 |
Total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 50 | |
PERCENTAGE OF FINAL WORK | % 50 | |
Total | % 100 |
SECTION V: WORKLOAD & ECTS CREDITS ALLOCATED FOR THE COURSE |
WORKLOAD OF TEACHING & LEARNING ACTIVITIES | |||
Teaching & Learning Activities | # of Activities per semester | Duration (hour) | Total Workload |
Course | 14 | 3 | 42 |
Laboratory | 0 | 0 | 0 |
Application | 0 | 0 | 0 |
Special Course Internship (Work Placement) | 0 | 0 | 0 |
Field Work | 0 | 0 | 0 |
Study Hours Out of Class | 12 | 2 | 24 |
Presentations / Seminar | 0 | 0 | 0 |
Project | 0 | 0 | 0 |
Homework Assignments | 2 | 4 | 8 |
Total Workload of Teaching & Learning Activities | - | - | 74 |
WORKLOAD OF ASSESMENT & EVALUATION ACTIVITIES | |||
Assesment & Evaluation Activities | # of Activities per semester | Duration (hour) | Total Workload |
Quizzes | 2 | 5 | 10 |
Midterms | 1 | 12 | 12 |
Semester Final Exam | 1 | 32 | 32 |
Total Workload of Assesment & Evaluation Activities | - | - | 54 |
TOTAL WORKLOAD (Teaching & Learning + Assesment & Evaluation Activities) | 128 | ||
ECTS CREDITS OF THE COURSE (Total Workload/25.5 h) | 5 |