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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
Lectures 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 | Formulates the economics 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 | Has the conceptual and theoretical competence to explain the phenomena in the disciplines of Political Science and International Relations. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Identifies the international and national issues by methodologies used in the disciplines of Political Science and International Relations; chooses the appropriate analysis techniques across the issues and applies the appropriate empirical studies. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Becomes skilful at following and interpreting different social areas in international and national levels and also applies the problem-solving oriented practices. | 4 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Collects, reviews and analyzes the data obtained which necessary for modelling applications in the Social Science. | 3 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Individually and/or in a team, takes responsibility, leadership, and works effectively. | 5 |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | In recognition of the need for lifelong learning, follows the latest developments in the field and improves himself/herself. | 3 |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Uses Turkish, and at least one more foreign language, in accordance with the requirements of academic and work life. | 5 |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Understands and interprets the feelings, thoughts and behaviors of related persons correctly; and expresses himself/herself in written and oral forms accurately. | |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Improves his/herself constantly by defining educational requirements considering interests and talents in scientific, cultural, art and social fields besides career development. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Questions traditional approaches, practices and methods; and develops and applies new study methods if necessary. | |
| PLO11 | Yetkinlikler - Öğrenme Yetkinliği | Recognizes and implements social, scientific and professional ethical values. | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Develops skills of defining and analyzing the international, regional and national oriented issues, producing appropriate conflict-resolution techniques and negotiation skills. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Develops critical thinking skills. |
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 | 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 | 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 | Term Exams | Repeat subjects before exam | Öğretim Yöntemleri: Soru-Cevap |
| 17 | Term 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 | ||