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Information
| 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 |
Dr. Öğr. Üyesi SEMİN PAKSOY
(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 economics 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 theories within the disciplines of Political Science and International Relations. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Understands the methodologies used in the disciplines of Political Science and International Relations. | 4 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Gains the ability to follow, interpret and apply problem-solving techniques focused on problem solving in different social fields of international and national dimension. | 4 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Questions traditional approaches, practices and methods, develop and apply new working methods when necessary. | 3 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Recognize/apply social, scientific and professional ethical values. | 5 |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Takes responsibility, leads and works effectively individually and/or in a team. | 3 |
| PLO07 | Yetkinlikler - Öğrenme Yetkinliği | Being aware of the necessity of lifelong learning, follows the current developments in the field and improves himself/herself. | 5 |
| PLO08 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | To be able to use Turkish and at least one foreign language in accordance with the requirements of academic life and business life. | |
| PLO09 | Yetkinlikler - Alana Özgü Yetkinlik | Analyzes data related to social sciences. | |
| PLO10 | Yetkinlikler - Alana Özgü Yetkinlik | Define and analyze political, economic and social problems of international, regional and national context. | |
| PLO11 | Yetkinlikler - Alana Özgü Yetkinlik | Gains critical thinking skills in the field of social sciences. |
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 | Functions Elementary Functions: Graphs and Transformations Quadratic Functions | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Polynomials and rational functions Exponential Functions Logarithmic functions | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 4 | Introduction to the limit Infinite Limits and Limits at Infinity | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Continuity Limits and continuity applications | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 6 | Rate of Change, Instantaneous 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 | Repeat subjects before exam | 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 Analysis Marginal Cost and Full Cost | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme, Tartışma |
| 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 Implicit Differentiation | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Applications related to chain rule and derivatives of implicit functions | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme, 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 | Term Exams | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams second week | Term Exams second week | 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 | ||