Multivariate Functions(ECON104)
| Course Code | Course Name | Semester | Theory | Practice | Lab | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| ECON104 | Multivariate Functions | 2 | 4 | 0 | 0 | 4 | 7 |
| 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 | The objective of this course is to acquire the mathematical tools necessary for studying economics. The course follows the single-variable analysis courses. Essentially, we will apply methods of differential and integral calculus to the study of functions of several variables. |
| Content |
-Functions of several variables. Drawing surfaces. Level curves. Limit. Continuity. Partial derivatives. Gradient and level curves. Directional derivative. Differential. Taylor formula. Local extrema. Constrained extrema. Implicit functions. Integral. |
| Course Learning Outcomes | Acquiring the multivariable mathematical analysis needed to study economics. |
| Teaching and Learning Methods | Course and recitation hours |
| References |
1) Sydsæter, Knut, and Peter J. Hammond. Maths pour l’Economie, 2014. (Chapitres 11- -14 et 9) https://membres-ljk.imag.fr/Bernard.Ycart/mel/ 2) Vector Calculus, 4th Edition, S.J.Colley. 3) Calculus, with Analytic Geometry, R.A.Silverman (Chapitres 11- -15) 4) http : //exo7.emath.fr/cours/chplusvar.pdf |
Theory Topics
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|---|---|
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Practice Topics
| Week | Weekly Contents |
|---|
Contribution to Overall Grade
| Number | Contribution | |
|---|---|---|
| Contribution of in-term studies to overall grade | 1 | 40 |
| Contribution of final exam to overall grade | 1 | 60 |
| Toplam | 2 | 100 |
In-Term Studies
| Number | Contribution | |
|---|---|---|
| Assignments | 0 | 0 |
| Presentation | 0 | 0 |
| 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 |
| Make-up | 0 | 0 |
| Toplam | 1 | 40 |
| 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 | X | ||||
| 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 | X | ||||
| 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 | X | ||||
| Activities | Number | Period | Total Workload |
|---|---|---|---|
| Class Hours | 2 | 56 | 112 |
| Working Hours out of Class | 1 | 20 | 20 |
| Assignments | 0 | 0 | 0 |
| Presentation | 0 | 0 | 0 |
| 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 | 25 | 25 |
| Quiz | 0 | 0 | 0 |
| 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 |
| Make-up | 0 | 0 | 0 |
| Yıl Sonu | 0 | 0 | 0 |
| Hazırlık Yıl Sonu | 0 | 0 | 0 |
| Hazırlık Bütünleme | 0 | 0 | 0 |
| Total Workload | 167 | ||
| Total Workload / 25 | 6.68 | ||
| Credits ECTS | 7 | ||