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 |
Dr. Öğr. Üyesi Sibel ÖRK ÖZEL
(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
Hauessler, E. F., & Paul, R. S. (2012). Temel Matematiksel Analiz - İşletme, İktisat, Yaşam Bilimleri ve Sosyal Bilimler için, (Çeviri: Serdar Demir, Özcan Uzun, Andım Oben Bal), Akademi Yayın Hizmetleri.
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 | Formulates 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 | Explains basic conceptual information about economy and finance | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | The departments of finance, law, economics, public administration, business administration and accounting have the necessary qualifications for the public and private sectors. | |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Analyses the basic conceptual knowledge about economics and finance in the context of current economic and financial developments. | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Synthesises the information obtained from different sources within the framework of academic rules in the field of research | 3 |
| PLO05 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Works effectively individually and/or in a team. | 2 |
| PLO06 | Yetkinlikler - Öğrenme Yetkinliği | Being aware of the necessity of lifelong learning, follows the current developments in the field. | |
| PLO07 | Yetkinlikler - Öğrenme Yetkinliği | Apart from the traditional approach, it develops new working methods when deemed necessary. | |
| PLO08 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Turkish and at least one foreign language is used in accordance with the needs of academic life and business life | |
| PLO09 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Expresses herself orally and in writing | 5 |
| PLO10 | Yetkinlikler - Alana Özgü Yetkinlik | To be able to collect and analyse data from different sources by using contemporary communication tools, methods and processes | |
| PLO11 | Yetkinlikler - Alana Özgü Yetkinlik | Having basic computer knowledge and skills, uses this information in the professional field. | |
| PLO12 | Yetkinlikler - Alana Özgü Yetkinlik | Explains the duties, authority and functioning of public financial institutions | |
| PLO13 | Yetkinlikler - Alana Özgü Yetkinlik | Explains job descriptions and responsibilities of professionals in the field of finance | |
| PLO14 | Yetkinlikler - Alana Özgü Yetkinlik | Have social, scientific and 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 | 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 |
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 | ||