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Information
| Code | ECMZ304 |
| Name | Mathematical Economics II |
| Term | 2024-2025 Academic Year |
| Semester | 6. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 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. KENAN LOPCU |
| Course Instructor |
1 2 |
Course Goal / Objective
Analysing and understanding relations among economic factors by using mathematical methods, setting up and evaluating economic models
Course Content
First-order differential equations, higher order differential equations, first-order diffrence equations
Course Precondition
Successful completion of Mathematics I-II, Introduction to Economics II, Statistics I-II, and Macroeconomics I-II
Resources
Alpha C. Chiang and Kevin Wainwright, Fundamental Methods of Mathematical Economics, 4th edition, McGraw-Hill, 2005. Frederic S. Mishkin, The Economics of Money Banking and Financial Markets, 8th edition, Addison Wesley, 2006. Bennett T. McCallum, Monetary Economics, Theory and Policy, Macmillan, 1989.
Notes
Lecture Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explaining firts-order differential equations |
| LO02 | Performs the comparative static analysis of basic macroeconomic models. |
| LO03 | Learns the basic distinguishing features of dynamic macroeconomic models. |
| LO04 | Understands the dynamic analysis of basic rational expectations models. |
| LO05 | Becomes familiar with the basic analysis of main growth models. |
| LO06 | Acquires the ability to interpret the solutions obtained economically. |
| LO07 | Gains an introductory exposure to the main quantitative techniques (econometrics) used in the empirical analysis of macroeconomic activity and long term growth. |
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 | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquires basic Mathematics, Statistics and Operation Research concepts | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Describes the necessary concepts of Business | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Equipped with the foundations of Economics, and develops Economic models | 4 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Models problems with Mathematics, Statistics, and Econometrics | 5 |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Has the ability to analyze/interpret at the conceptual level to develop solutions to problems | 5 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Collects/analyses data | 3 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Interprets the results analyzed with the model | 4 |
| 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 | 5 |
| PLO18 | Yetkinlikler - Alana Özgü Yetkinlik | Applies social, scientific and professional ethical values | 5 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Economic dynamics, integral calculus and economic applications of integral | Reading the textbook | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 2 | First-order differential equations with constant coefficient and constant term | Reading the textbook | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 3 | Economic application: market price dynamics | Reading the textbook | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 4 | Equations with variable coefficient and variable term | Reading the textbook | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 5 | Exact differantial equations | Reading the textbook | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 6 | Nonlinear differantial equations, graphical analysis of dif. equations | Reading the textbook | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 7 | Economic application: Solow growth model | Reading the textbook | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 8 | Midterm exam | Studying the course content | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Second-degree dif. equations with constant coefficient and constant term | Reading the textbook | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 10 | Complex numbers and circular functions | Reading the textbook | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 11 | Analysis of complex-root case | Reading the textbook | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 12 | Economic application: a market model with price expactations | Reading the textbook | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 13 | Economic Application: the interaction of inflation and unemployment | Reading the textbook | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 14 | Dif.equations with variable term | Reading the textbook | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 15 | First-order difference equations | Reading the textbook | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 16 | Final exam | Studuying the whole course content | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Final exam | Studuying the whole course content | 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 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||