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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 mathematical model of economics problems encountered in business area. |
| LO02 | Defines the economic problem |
| LO03 | Solves the economic problem |
| LO04 | Interprets the obtaining 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 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 | Bilgi - Kuramsal, Olgusal | 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 follows the current developments in the field / constantly renews itself | |
| 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 | 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-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 | ||