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Information
| Code | ECMZ103 |
| 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 | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HASAN ALTAN ÇABUK |
| Course Instructor |
Dr. Öğr. Üyesi SEMİN PAKSOY
(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 Mathematical Analysis for Business, Economics, and the Life and Social Sciences, Pearson Education
Notes
Lecture notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Gains 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 | Economic formulates the 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 importance of demand and supply in economy sciece and the well-running conditions of the market economy | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Define the role of pricing within the event advantage of the market economy | 2 |
| 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 | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Perceive the costs and benefits arising from the global economy | 4 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Produce nymerical and policy options when confronted with problems | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Use quantitative and qualitative techniques of model building, decoding and interpretation | 5 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Use the theory of economics in the analysis of economic events | 3 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Use computer programs, do synthesis and present prepared data efficiently | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Apply the methods of economic analysis. | 4 |
| PLO10 | Bilgi - Kuramsal, Olgusal | Analyze at conceptual level and aquire abiliy in comparing, interpreting, evaluating and synthesizing in order to develop solutions to problems | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Take responsibility individually and/or in a team, take leadership and work effectively | 2 |
| PLO12 | Beceriler - Bilişsel, Uygulamalı | Follow innovative developments in the field being aware of the necessity of lifelong learning and improving him-/herself | 2 |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Use of different sources about an unfamiliar field within academic principles, synthesize gained data and present effectively | |
| PLO14 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Use Turkish and at least one foreign language in accordance with the requirements of academic and work life | |
| PLO15 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Understand and interpret related peoples´ feelings, thoughts and behaviours correctly; express him-/herself accurately in written and oral language | 2 |
| PLO16 | Yetkinlikler - Öğrenme Yetkinliği | Question traditional approaches, practices and methods. | 3 |
| PLO17 | Yetkinlikler - Öğrenme Yetkinliği | Recognize and apply social, scientific and professional ethical values. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | 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, Problem Çözme |
| 2 | Functions Elementary Functions: Graphs and Transformations Quadratic Functions | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Polynomials and rational functions Exponential Functions Logarithmic functions | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, 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, Problem Çözme |
| 5 | Continuity Limits and continuity applications | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | DERIVATIVE - 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, Problem Çözme |
| 7 | Basic Rules of Differentiation | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Repeat subjects before exam | Öğretim Yöntemleri: Soru-Cevap |
| 9 | The concept of differential Additional Derivative Topics | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | 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, 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, 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, Problem Çözme |
| 13 | Applications related to chain rule and derivatives of implicit functions | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | First Derivative and Graphs Second Derivatives and Graphs ApplicatLHopitals Rule Curve Drawing Techniques Optimizationions | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | LHopital and optimization | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, 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 | ||