Mathematical Analysis(ECON103)
| Course Code | Course Name | Semester | Theory | Practice | Lab | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| ECON103 | Mathematical Analysis | 1 | 4 | 0 | 0 | 4 | 4 |
| Prerequisites | |
| Admission Requirements |
| Language of Instruction | French |
| Course Type | Compulsory |
| Course Level | Bachelor Degree |
| Course Instructor(s) | Ayşegül ULUS aulus@gsu.edu.tr (Email) |
| Assistant | |
| Objective | Objective of this course is to acquire the necessary mathematical tools to study economics. This first mathematics course includes an introduction to analysis which is one of the essential parts (the others are linear algebra and differential equations) |
| Content |
Around the notion of function • Usual functions of one variable. • Limit, continuity for functions with one variable: indeterminate forms, infinitely large and infinitely small. Reminders about asymptotes and the intermediate value theorem. • Derivation for functions in one variable: Many economic models are based on the relationships between the derivatives of different variables. • Extrema and convexity for functions with one variable: These notions linked to derivation are very important for the resolution of many economic problems. • Local study of a function and limited developments. • Variations in economic data: absolute, relative variations, indices. • Introduction to the fundamental notion of functions of 2 variables: In the Econ104 course we will deal, in general, with the functions of several variables, which is essential for carrying out an economic analysis. Because, economic models rely on the interpretation of interactions between various economic variables. In this last chapter of ECON103, we introduce the notions of partial derivatives and differentials. |
| Course Learning Outcomes |
A student who has successfully completed this course must have acquired the necessary knowledge for the analysis of the (real) functions of one variable which will be used in economics. He/she will be ready to study functions with several variables. ? |
| Teaching and Learning Methods | Courses and Tutorials. The prerequisites for this course are high school mathematics knowledge. |
| References |
Sydsæter, Knut, and Peter J. Hammond. Essential mathematics for economic analysis. Pearson Education, 2008. Sydsæter, Knut, and Peter J. Hammond. Mathématiques pour l’Economie. Pearson Education, 2014. https://membres-ljk.imag.fr/Bernard.Ycart/mel/ http://exo7.emath.fr/un.html http://exo7.emath.fr/cours/livre-analyse-1.pdf |
Theory Topics
| Week | Weekly Contents |
|---|
Practice Topics
| Week | Weekly Contents |
|---|
Contribution to Overall Grade
| Number | Contribution | |
|---|---|---|
| Contribution of in-term studies to overall grade | 2 | 50 |
| Contribution of final exam to overall grade | 1 | 50 |
| Toplam | 3 | 100 |
In-Term Studies
| Number | Contribution | |
|---|---|---|
| Assignments | 0 | 0 |
| Presentation | 1 | 10 |
| Midterm Examinations (including preparation) | 1 | 40 |
| Project | 0 | 0 |
| Laboratory | 0 | 0 |
| Other Applications | 0 | 0 |
| Quiz | 0 | 0 |
| Term Paper/ Project | 0 | 0 |
| Portfolio Study | 0 | 0 |
| Reports | 0 | 0 |
| Learning Diary | 0 | 0 |
| Thesis/ Project | 0 | 0 |
| Seminar | 0 | 0 |
| Other | 0 | 0 |
| Toplam | 2 | 50 |
| No | Program Learning Outcomes | Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | Demonstrate a basic knowledge of different economic theories and main discussions driving current theoretical approaches | |||||
| 2 | Demonstrate ability to use basic qualitative and quantitative methods to asses different economic questions of applied fields | X | ||||
| 3 | Show a sound understanding of current economic discussions and problems | X | ||||
| 4 | Have an effective and clear communication in written and oral formats in different public and professional contexts. | X | ||||
| 5 | Demonstrate basic knowledge of the world economic history and a sound knowledge of the Turkish economic history | |||||
| 7 | Demonstrate knowledge of standard quantitative techniques and empirical models used in economics | X | ||||
| 8 | Show ability to apply basic economic theory to an applied topic | X | ||||
| 9 | Show a basic understanding of analytical methods, both theory- and model-based | X | ||||
| 10 | Show ability to use economic concepts to discuss current economic issues | X | ||||
| 11 | Reason logically and work analytically | X | ||||
| 12 | Show awareness on social aspects of the economics in different applied and theoretical fields | X | ||||
| 13 | Identify appropriate economic models to analyse problems | X | ||||
| 16 | Show understanding of basic statistical and econometric concepts and ability to apply basic concepts to own empirical work | X | ||||
| 17 | Demonstrate a sound knowledge of the current economic issues in Turkey and a general knowledge of the issues in the world economy | |||||
| Activities | Number | Period | Total Workload |
|---|---|---|---|
| Class Hours | 14 | 3 | 42 |
| Working Hours out of Class | 14 | 1 | 14 |
| Assignments | 0 | 0 | 0 |
| Presentation | 1 | 10 | 10 |
| Midterm Examinations (including preparation) | 1 | 10 | 10 |
| Project | 0 | 0 | 0 |
| Laboratory | 0 | 0 | 0 |
| Other Applications | 0 | 0 | 0 |
| Final Examinations (including preparation) | 1 | 20 | 20 |
| Quiz | 1 | 10 | 10 |
| Term Paper/ Project | 0 | 0 | 0 |
| Portfolio Study | 0 | 0 | 0 |
| Reports | 0 | 0 | 0 |
| Learning Diary | 0 | 0 | 0 |
| Thesis/ Project | 0 | 0 | 0 |
| Seminar | 0 | 0 | 0 |
| Other | 0 | 0 | 0 |
| Total Workload | 106 | ||
| Total Workload / 25 | 4,24 | ||
| Credits ECTS | 4 | ||