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 |
Dr. Öğr. Üyesi Sibel ÖRK ÖZEL
(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
Lecture notes
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 |
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 | interprets data from different sources using contemporary communication tools, methods and processes. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Having basic computer knowledge and skills, she uses this knowledge in the professional field | |
| PLO04 | Bilgi - Kuramsal, Olgusal | explain the duties and authorities of Public Financial Institutions. | |
| PLO05 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Works effectively individually and/or in a team. | 2 |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Synthesizes and effectively presents the information obtained from different sources within the framework of academic rules in the field of research. | 3 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Being aware of the necessity of lifelong learning, she follows the current developments in her field. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Synthesizes the information obtained from different sources within the framework of academic rules. | |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Turkish and at least one foreign language is used in accordance with the needs of academic life and business life | |
| PLO10 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | explain the job descriptions of professional people. | |
| PLO11 | Yetkinlikler - Öğrenme Yetkinliği | Have social, scientific and ethical values. | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Apart from the traditional approach, it develops new working methods when it deems necessary. | |
| PLO13 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Expresses herself orally and in writing | 5 |
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 | Problem solving about chain rule and 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 | Term Exams | Repeat subjects before exam | Öğretim Yöntemleri: Soru-Cevap |
| 17 | Term Exams | 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 | ||