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Information
| Code | EKMZ104 |
| Name | Mathematics II |
| Term | 2024-2025 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HASAN ALTAN ÇABUK |
| Course Instructor |
Doç. Dr. ERSİN KIRAL
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim is provide to fundamental mathematical knowledge. In addition, it aims to provide experience in formulating and solving problems that may be encountered in business, economics, and social sciences.
Course Content
The course content covers the concepts of antiderivative and indefinite integral, examining the method of substitution and differential equations. The concept of definite integrals is explained through growth and decay problems, and applications related to business and economics are explored using the fundamental theorem of calculus. The calculation of the area between two curves and the solution of various problems using the method of partial integration are discussed. Within the scope of functions of two or more variables, partial derivatives, differentials, and the chain rule are examined, focusing on maximum and minimum problems in two-variable functions and the Lagrange multipliers method
Course Precondition
There are no prerequisites for the course
Resources
Barnett, M. A., Ziegler, M. R., & Byleen, K. E. (2015). Calculus for Business, Economics, Life Sciences, and Social Sciences (13th ed., A. Sabuncuoğlu, Trans.). Pearson Education.
Notes
-Haeussler, E. F., & Paul, R. S. (2012). Introductory mathematical analysis for business, economics, life sciences, and social sciences (13th ed.). Pearson.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Creates mathematical model of economics problems encountered in business area. |
| LO02 | Defines the economic problem. |
| LO03 | Formulates the economic problem. |
| LO04 | Analyzs the economic problem. |
| LO05 | Interprets the obtaining solutions. |
| LO06 | Analytical thinking and problem solving solutions |
| LO07 | Analyzes problems using definite and indefinite integrals. |
| LO08 | Applies the differential chain rule. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Explain the basic concepts and theorems in the fields of Econometrics, Statistics and Operations research | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquires basic Mathematics, Statistics and Operation Research concepts | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Describes the necessary concepts of Business | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Equipped with the foundations of Economics, and develops Economic models | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Models problems with Mathematics, Statistics, and Econometrics | 3 |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Analyzes/interprets at the conceptual level to develop solutions to problems | 3 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Collects/analyses data from reliable data sources for the purpose of study | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Interprets the results analyzed with the model | 5 |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | Combines the information obtained from different sources within the framework of academic rules in a field of research | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Adapts traditional approaches, practices and methods to a new study when necessary | |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Uses a package program of Econometrics, Statistics, and Operation Research | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Leads by taking responsibility individually and/or within the team | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | In addition to herself/himself professional development, constantly improves in scientific, cultural, artistic and social fields in line with interests and abilities | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Being aware of the necessity of lifelong learning, it constantly renews itself by following the current developments in its field. | |
| PLO15 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses Turkish and at least one other foreign language, academically and in the business context | |
| PLO16 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Interprets the feelings, thoughts and behaviors of the related persons correctly/expresses himself/herself correctly in written and verbal form | |
| PLO17 | Yetkinlikler - Alana Özgü Yetkinlik | Interprets data on current economic and social issues | |
| PLO18 | Yetkinlikler - Alana Özgü Yetkinlik | Applies social, scientific and professional ethical values |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Integral Anti-derivatives and (primitive) Indefinite Integral Method of Changing variable | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 2 | Differential Equations: Growth and Downsizing | Reading | Öğretim Yöntemleri: Anlatım |
| 3 | Definite Integral Calculus Fundamental Theorem Problem of Business and Economics | Reading | Öğretim Yöntemleri: Anlatım |
| 4 | Area Between Two Curves Applications in Business and Economics | Reading | Öğretim Yöntemleri: Anlatım |
| 5 | Partial (Partly) Integration Method Applications in Business and Economics | Reading | Öğretim Yöntemleri: Anlatım |
| 6 | FUNCTIONS OF SEVERAL VARIABLES AND PARTIAL DERIVATIVES Two or More Functions of Several Variables Partial Derivatives Applications in Business and Economics | Reading | Öğretim Yöntemleri: Anlatım |
| 7 | Making Common Problems and Applications | Reading | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Reading | Öğretim Yöntemleri: Soru-Cevap, Problem Çözme |
| 9 | Differentials Chain Rule Applications in Business and Economics | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Maximum and Minimum of Functions of Two Variables Applications in Business and Economics | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Lagrange Multipliers Applications in Business and Economics | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | MATRICES AND DETERMINANTS Definition of Matrices, Matrix Algebra Operations, Special Matrices Determinant Applications in Business and Economics | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Matrices and Linear Equations Applications in Business and Economics | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Solving Systems of Linear Equations by Cramers Rule Applications in Business and Economics | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Common Problems and Applications | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Term Exams | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||