TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ECONOMICS AND ADMINISTRATIVE SCIENCES |
| ECONOMETRICS PR. (ENGLISH) | |
| Code | ECMZ103 |
| Name | Mathematics I |
| Term | 2024-2025 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| 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. SEMİN PAKSOY
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim is to explain fundamental mathematical theorems and introduce their applications in social sciences.
Course Content
The course content covers the fundamental properties of functions, examining the concepts of limits and continuity. The study of derivatives and their applications focuses on analyzing the rates of change in functions and exploring methods to resolve indeterminate forms in limits. The behavior of polynomial and rational functions is analyzed, and their graphical representations are constructed. The characteristics of exponential functions are examined, leading to their graphical representations, while logarithmic functions are analyzed in terms of their behavior and graphing techniques.
Course Precondition
There are no prerequisites for the course.
Resources
Haeussler, E. F., Paul, R. S., & Wood, R. J. (2010). Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences (13th ed.). Pearson Education.
Notes
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Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Gains the ability to apply to business, economics and social sciences problems by using information about mathematics |
| LO02 | Creates mathematical model of economics problems encountered in business area |
| LO03 | Formulates the economic problem |
| LO04 | Solves the economic problem |
| LO05 | Interprets the obtaining solutions |
| LO06 | Identify the fundamental properties of functions. |
| LO07 | Use limits and continuity to evaluate the behavior of functions |
| LO08 | Analyze rates of change in functions. |
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 | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquires basic Mathematics, Statistics and Operation Research concepts | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Describes the necessary concepts of Business | 3 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Equipped with the foundations of Economics, and develops Economic models | 5 |
| 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 | Bilgi - Kuramsal, Olgusal | 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 follows the current developments in the field / constantly renews itself | |
| 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 | Linear Equations and Inequalities Graphs and Lines Business, Economics and Social Sciences Applications | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 2 | Quadratic Functions | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Polynomials and functions of rational, Exponential and Logarithmic | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 4 | Introduction to the limit | Reading | Öğretim Yöntemleri: Anlatım, Tartışma |
| 5 | Continuity and continuity applications | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | Rate of Change, The slope of a graph, Definition of Derivative, Finding Derivatives, Slope of the tangent line | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Basic Rules of Differentiation | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Reading | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | The concept of differential Additional Derivative Topics | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Marginal Analysis for Business and Economics Marginal Cost, Revenue and Profit Cost | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Constant-e and continuous compound interest Derivatives of Exponential and Logarithmic Functions Product and Quotient Rules | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | The Chain Rule, Obtaining Implicit Differentiation | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Applications related to chain rule and derivatives of implicit functions | Reading | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 14 | First Derivative and Graphs Second Derivatives and Graphs ApplicatLHopitals Rule Curve Drawing Techniques Optimizationions | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | LHopital and optimization | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Final exams | Final exams | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Final exams | Final exams | Ölçme Yöntemleri: Yazılı Sınav |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | ||