TÜRKÇE
ENGLISH
Information
| 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 | 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 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 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 | Gives the ability to apply to business, economics and social sciences problems by using information about mathematics |
| LO02 | Creates and solves 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 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 | 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 | Repeat subjects before 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 | Chain rule and Derivative Applications of 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 | Final Exams | Final Exams | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Final Exams-Second week | Final 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 | ||