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 |
| 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
In this course, basic concepts of Mathematics will be given to form theoretical background.
Course Content
Functions, Functions and Their Graphs, Limits and Continuity, Derivates, Economics Applications of Derivates, Indeterminate Forms in Limits, Graphical Illustration of Polynomial and Rational Function.Graphical Illustration of Exponantial Function.Graphical Illustration of Logarithmic Function.
Course Precondition
There are no prerequisites for the course
Resources
E.F.Haeussler and R.S. Paul, Introductory, Temel Matematiksel Analiz (Ekonomik,Ticari ve Sosyal) Prentice-Hall Inc., New Jersey.
Notes
Genel Matematik: İşletme, İktisat, Yaşam Bilimleri ve Sosyal Bilimler İçin - Mond A. Barnett, Michael R. Ziegler, Karl E. Byleen
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 |
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 | Has the ability to analyze/interpret at the conceptual level to develop solutions to problems | 3 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Collects/analyses data | |
| 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 which does not research | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | It develops traditional approaches, practices and methods into new working methods when it deems necessary | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Leads by taking responsibility individually and/or within the team | |
| PLO12 | 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 | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Being aware of the necessity of lifelong learning, it constantly renews itself by following the current developments in its field. | |
| PLO14 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses a package program of Econometrics, Statistics, and Operation Research | |
| 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 | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 2 | ELEMENTARY FUNCTIONS (II) Functions Elementary Functions: Graphs and Transformations Quadratic Functions Business, Economics and Social Sciences Applications | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım |
| 3 | ELEMENTARY FUNCTIONS (III) Polynomials and rational functions Exponential Functions Logarithmic functions Business, Economics and Social Sciences Applications | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 4 | LIMIT (I) Introduction to the limit Infinite Limits and Limits at Infinity | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım |
| 5 | LIMIT (II) Continuity Limits and continuity applications Business, Economics and Social Sciences Applications | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 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 | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 7 | DERIVATIVE (II) Basic Rules of Differentiation Business, Economics and Social Sciences Applications | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 8 | Mid-Term Exam | Repeat subjects before exam | Öğretim Yöntemleri: Soru-Cevap, Problem Çözme |
| 9 | DERIVATIVE (III) The concept of differential Additional Derivative Topics Business, Economics and Social Sciences Applications | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 10 | DERIVATIVE (IV) Marginal Analysis for Business and Economics Marginal Cost, Revenue and Profit Cost Analysis Marginal Cost and Full Cost | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 11 | Constant-e and continuous compound interest Derivatives of Exponential and Logarithmic Functions Product and Quotient Rules | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 12 | The Chain Rule Implicit Differentiation | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 13 | Chain rule and Derivative Applications of Implicit Functions | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Problem Çözme |
| 14 | First Derivative and Graphs Second Derivatives and Graphs Applications | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 15 | LHopitals Rule Curve Drawing Techniques Optimization | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 16 | Final Exams | Repeat subjects before exam | Öğretim Yöntemleri: Soru-Cevap |
| 17 | Final Exams-Second week | Repeat subjects before exam | 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 | ||