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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 & Content

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.

Course Learning Outcomes (CLOs)

Course Learning Outcomes (CLOs) are those describing the knowledge, skills and competencies that students are expected to achieve upon successful completion of the course. In this context, Course Learning Outcomes defined for this course unit are as follows:
Knowledge (Described as Theoritical and/or Factual Knowledge.)
  1) Understand the basic concepts of mathematics and mathematical logic.
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.
  2) Represent basics functions graphically and interpret them.
  3) Calculate the limits and derivatives of one real variable real functions and interpret their meanings.
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.

Weekly Course Schedule

Week Subject
Materials Sharing *
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
*These fields provides students with course materials for their pre- and further study before and after the course delivered.

Recommended or Required Reading & Other Learning Resources/Tools

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)

(The matrix below shows how the course learning outcomes (CLOs) associates with programme learning outcomes (both KPLOs & SPLOs) and, if exist, the level of quantitative contribution to them.)

Relationship Between CLOs & PLOs

(KPLOs and SPLOs are the abbreviations for Key & Sub- Programme Learning Outcomes, respectively. )
CLOs/PLOs KPLO 1 KPLO 2 KPLO 3 KPLO 4 KPLO 5
1 2 1 1 2 1 2 3 4 1 2 3 4 5 6 7 8 9 10 11 12
CLO1
CLO2
CLO3
CLO4
CLO5

Level of Contribution of the Course to PLOs

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Programme Learning Outcomes Contribution Level (from 1 to 5)
1) Learns and uses the basic information, concepts and theories required in the field of international trade. 4
2) Use information and communication technologies and business applications and international trade in information systems effectively. 2
3) Can develop effective management strategies using appropriate theory and methods; plan, co-ordinate, implement and control management processes 3
4) Applies the theoretical knowledge in business life during a semester. 2
5) S/he acquires the competencies that develop by the expectations of business world and the society defined as the institutional outcomes of our university on the advanced level in relation with his/her field. 4

SECTION IV: TEACHING-LEARNING & ASSESMENT-EVALUATION METHODS OF THE COURSE

Teaching & Learning Methods of the Course

(All teaching and learning methods used at the university are managed systematically. Upon proposals of the programme units, they are assessed by the relevant academic boards and, if found appropriate, they are included among the university list. Programmes, then, choose the appropriate methods in line with their programme design from this list. Likewise, appropriate methods to be used for the course units can be chosen among those defined for the programme.)
Teaching and Learning Methods defined at the Programme Level
Teaching and Learning Methods Defined for 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

Assessment & Evaluation Methods of the Course

(All assessment and evaluation methods used at the university are managed systematically. Upon proposals of the programme units, they are assessed by the relevant academic boards and, if found appropriate, they are included among the university list. Programmes, then, choose the appropriate methods in line with their programme design from this list. Likewise, appropriate methods to be used for the course units can be chosen among those defined for the programme.)
Aassessment and evaluation Methods defined at the Programme Level
Assessment and Evaluation Methods defined for the Course
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

Relationship Between CLOs & Teaching-Learning, Assesment-Evaluation Methods of the Course

(The matrix below shows the teaching-learning and assessment-evaluation methods designated for the course unit in relation to the course learning outcomes.)
LEARNING & TEACHING METHODS
COURSE LEARNING OUTCOMES
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

Contribution of Assesment & Evalution Activities to Final Grade of the Course

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