TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ECONOMICS AND ADMINISTRATIVE SCIENCES |
| ECONOMICS PR. | |
| Code | EKMZ103 |
| 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 | Türkçe |
| 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 |
Doç. Dr. ERSİN KIRAL
(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 functions, limits, and continuity, followed by the study of derivatives and their applications. Indeterminate forms in limits are analyzed, and the behavior of polynomial and rational functions is examined, along with their graphical representations. The properties of exponential functions are explored, their behavior is analyzed, and their graphs are constructed. The study of logarithmic functions includes an evaluation of their changes, graphical representations, and their role in mathematical analysis.
Course Precondition
There are no course prerequisites.
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 | Gives 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 | Defines the economic problem |
| LO04 | Solves the economic problem |
| LO05 | Interprets the obtaining solutions |
| LO06 | Analytical thinking and problem solving solutions. |
| LO07 | Calculates the limits of functions and evaluates continuity conditions. |
| LO08 | Uses the concept of derivatives to calculate and analyze the rates of change of 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 science and the well-running conditions of the market economy | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Define the role of pricing within the event advantage of the market economy. | 4 |
| 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. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Perceive the costs and benefits arising from the global economy | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Produce numerical and policy options when confronted with problems. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Use quantitative and qualitative techniques of model building, decoding and interpretation. | 2 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Use the theory of economics in the analysis of economic events. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Use computer programs, do synthesis and present prepared data efficiently. | |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | Apply the methods of economic analysis. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Analyze at conceptual level and acquires ability in comparing, interpreting, evaluating and synthesizing in order to develop solutions to problems | |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Use of different sources about an unfamiliar field within academic principles, synthesize gained data and presents effectively. | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Take responsibility individually and / or in a team, take leadership and work effectively. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Follow innovative developments in the field being aware of the necessity of lifelong learning and improving him-/herself.. | 5 |
| PLO14 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Use Turkish and at least one foreign language in accordance with the requirements of academic and work life. | |
| PLO15 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Understand and interpret related people´s feelings, thoughts, and behaviours correctly; expresse him-/herself accurately in written and oral language. | 3 |
| PLO16 | Yetkinlikler - Alana Özgü Yetkinlik | Question traditional approaches, practices and methods. | 3 |
| PLO17 | Yetkinlikler - Alana Özgü Yetkinlik | Recognize and apply social, scientific and professional ethical values. | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | ELEMENTARY FUNCTIONS (I) Linear Equations and Inequalities Graphs and Lines Business, Economics and Social Sciences Applications | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 2 | ELEMENTARY FUNCTIONS (II) Functions Elementary Functions: Graphs and Transformations Quadratic Functions Business, Economics and Social Sciences Applications | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | ELEMENTARY FUNCTIONS (III) Polynomials and rational functions Exponential Functions Logarithmic functions Business, Economics and Social Sciences Applications | 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 | LIMIT (II) Continuity Limits and continuity applications Business, Economics and Social Sciences Applications | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | DERIVATIVE (I) 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 | DERIVATIVE (II) Basic Rules of Differentiation Business, Economics and Social Sciences Applications | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Mid-Term Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | DERIVATIVE (III) The concept of differential Additional Derivative Topics Business, Economics and Social Sciences Applications | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | DERIVATIVE (IV) 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 | Problem solving about chain rule and implicit functions | Reading | Öğretim Yöntemleri: Problem Çözme, Anlatım |
| 14 | First Derivative and Graphs Second Derivatives and Graphs Applications | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | LHopitals Rule Curve Drawing Techniques Optimization | Reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Term Exams | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Term 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 | ||