TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ECONOMICS AND ADMINISTRATIVE SCIENCES |
| ECONOMICS 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 | BS Basic Science Courses C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HASAN ALTAN ÇABUK |
| Course Instructor |
Dr. Öğr. Üyesi 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
Lecture Notes
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 | Economic formulates the 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 importance of demand and supply in economy sciece and the well-running conditions of the market economy | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Define the role of pricing within the event advantage of the market economy | 2 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Define the role of the state in economy, money and financial policies, the central bank and the structure of the market | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Perceive the costs and benefits arising from the global economy | 4 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Produce nymerical and policy options when confronted with problems | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Use quantitative and qualitative techniques of model building, decoding and interpretation | 5 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Use the theory of economics in the analysis of economic events | 3 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Use computer programs, do synthesis and present prepared data efficiently | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Apply the methods of economic analysis. | 4 |
| PLO10 | Bilgi - Kuramsal, Olgusal | Analyze at conceptual level and aquire abiliy in comparing, interpreting, evaluating and synthesizing in order to develop solutions to problems | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Take responsibility individually and/or in a team, take leadership and work effectively | 2 |
| PLO12 | Beceriler - Bilişsel, Uygulamalı | Follow innovative developments in the field being aware of the necessity of lifelong learning and improving him-/herself | 2 |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Use of different sources about an unfamiliar field within academic principles, synthesize gained data and present effectively | |
| PLO14 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Use Turkish and at least one foreign language in accordance with the requirements of academic and work life | |
| PLO15 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Understand and interpret related peoples´ feelings, thoughts and behaviours correctly; express him-/herself accurately in written and oral language | 2 |
| PLO16 | Yetkinlikler - Öğrenme Yetkinliği | Question traditional approaches, practices and methods. | 3 |
| PLO17 | Yetkinlikler - Öğrenme Yetkinliği | Recognize and apply 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 | 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 | LIMIT (I) 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 | DERIVATIVE - 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 | Mid-Term 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 |
| 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, Alıştırma ve Uygulama |
| 16 | Final Exams | Final Exams | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Final Exams-Second week | Final Exams-Second week | 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 | ||