SECTION I: GENERAL INFORMATION ABOUT THE COURSE |
Course Code | Course Name | Year | Semester | Theoretical | Practical | Credit | ECTS |
60541TAEOZ-MTH3022 | Business Mathematics II | 1 | Spring | 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 comprises two basic parts. The objective of the first part is to transmit to the student applications of the differential calculus as optimization of real variable real functions, analysis and graphically representation of them, as well as fundamental on integration. The objective of the second part is to improve student’s knowledge on elementary linear algebra necessary to follow other relevant courses. |
Course Content: | Week 1: Applications of the derivative of a function and related theorems. Indefinite limits and L’Hospital rule. Week 2: Indefinite limits and L’Hospital rule. Week 3: Multiple derivatives, the nth derivative of some special functions. 2nd order and multiple derivatives of parametric and implicite functions. Week 4: Quiz 1. Taylor and Mc-Laurin power series expansions of one real variable functions. Week 5: Analysis and graphic representations of one real variable functions. Week 6: Analysis and graphic representations of one real variable functions. Week 7: Primitive and definite integral of a function. Integration rules – Change of variable. Week 8: Integration rules – Partial integration. Week 9: Integration rules – Decomposition in simple elements. Week 10: Mid Term. Week 11 :Determinants, properties, kinds and computation of a determinant. Week 12: Concept of matrices, properties and operations with matrices manually and using Excel Week 13: Quiz 2. Rules for solving linear equation systems using determinants and matrices. Discussion of the existence of roots of linear equation systems. Week 14: Rules for solving linear equation systems using determinants and matrices. Discussion of the existence of roots of linear equation systems. |
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) | Derivative for parametric and implicite functions. | ||
2) | Relative extrema and absolute extrema on a closed interval | ||
3) | Concavity and the second derivative test | ||
4) | Asymptotes, applied maxima and minima | ||
5) | The indefinite integral | ||
6) | Integration with initial Conditions and more integration formulas | ||
7) | Techniques of Integration | ||
8) | Midterm | ||
9) | The definite integral | ||
10) | Area between curves | ||
11) | Integration by parts and partial fractions | ||
12) | Matrices | ||
13) | Matrix Addition, scalar multiplication and matrix multiplication | ||
14) | Solving systems by reducing matrices and inverses |
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 |
References: | 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 |
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 |