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Information
| Code | EKMZ104 |
| Name | Mathematics II |
| Term | 2023-2024 Academic Year |
| Semester | 2. 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
The aim of Mathematics II. İ. İ. B. F. 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
Genel Matematik: İşletme, İktisat, Yaşam Bilimleri ve Sosyal Bilimler İçin - Mond A. Barnett, Michael R. Ziegler, Karl E. Byleen
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 | Formulates the economic problem. |
| LO04 | Analyzs 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 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 | Beceriler - Bilişsel, Uygulamalı | 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 constantly renews itself by following the current developments in its field. | |
| 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, Alıştırma ve Uygulama |
| 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, Alıştırma ve Uygulama |
| 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: Alıştırma ve Uygulama |
| 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: Alıştırma ve Uygulama |
| 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 |
| 7 | Making Common Problems and Applications | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | Repeat subjects before exam | Öğretim Yöntemleri: Soru-Cevap, Problem Çözme |
| 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: Alıştırma ve Uygulama |
| 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: Alıştırma ve Uygulama |
| 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: Alıştırma ve Uygulama |
| 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, Alıştırma ve Uygulama |
| 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: Alıştırma ve Uygulama |
| 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: Alıştırma ve Uygulama |
| 15 | Common Problems and Applications | Students will be prepared by studying relevant subjects from source books according to weekly program | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 16 | Term Exams | Repeat subjects before exam | Öğretim Yöntemleri: Soru-Cevap, Problem Çözme |
| 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 | ||