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Information
| Code | ECMZ104 |
| Name | Mathematics II |
| Term | 2024-2025 Academic Year |
| Semester | 2. 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 |
1 2 |
Course Goal / Objective
The aim of Mathematics II. İ. İ. B. F. is to provide students with knowledge of basic mathematics. In addition, business administration, economics and social sciences for the solution of problems encountered in the creation and gain experience.
Course Content
Anti-derivatives and (primitive) Indefinite Integral Variable Replacement Method, Differential Equations, Growth and Downsizing, Definite Integral, Calculus (Calculus) Fundamental Theorem, Problems of Economics and Business, Area Between Two Curves, Business and Economics Applications, Partial (Partially ) Integration Method, two or more variables, partial derivatives, differentials, chain rule, the maximum and minimum functions of two variables, Lagrange Multipliers, Business and Economics Applications, Matrix Definition, Matrix Algebra Operations, Special Matrices, Determinants, Matrices and Linear Equations , the Solution of Linear Systems of Equations Cramers rule.
Course Precondition
There are no prerequisites for the course
Resources
Ernest F. Haeussler , Richard 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 | Creates and solves mathematical model of economics problems encountered in business area. |
| LO02 | Defines the economic problem |
| LO03 | Formulates the economic problem |
| LO04 | Interprets by analyzing the results obtained from the solutions. |
| LO05 | Gains the ability to apply to business, economics and social sciences problems by using information about mathematics |
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 | |
| 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 | |
| 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 | 4 |
| 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 | Integral Anti-derivatives and (primitive) Indefinite Integral Method of Changing variable | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 2 | Differential Equations: Growth and Downsizing | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Definite Integral Calculus Fundamental Theorem Problem of Business and Economics | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 4 | Area Between Two Curves Applications in Business and Economics | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Partial (Partly) Integration Method Applications in Business and Economics | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | FUNCTIONS OF SEVERAL VARIABLES AND PARTIAL DERIVATIVES Two or More Functions of Several Variables Partial Derivatives Applications in Business and Economics | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Common Problems and Applications | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 8 | Mid-Term Exam | Repeat subjects before exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Differentials Chain Rule Applications in Business and Economics | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Maximum and Minimum of Functions of Two Variables Applications in Business and Economics | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Lagrange Multipliers Applications in Business and Economics | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | MATRICES AND DETERMINANTS Definition of Matrices, Matrix Algebra Operations, Special Matrices Determinant Applications in Business and Economics | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Matrices and Linear Equations Applications in Business and Economics | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Solving Systems of Linear Equations by Cramers Rule Applications in Business and Economics | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Solving general problems about the topics covered and applications | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: 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 | ||