ECON417 MATHEMATICAL ANALYSIS FOR ECONOMICS
| Course Code: | 3110417 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 6.0 |
| Department: | Economics |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Assist.Prof.Dr NİL İPEK ŞİRİKÇİ |
| Offered Semester: | Spring Semesters. |
Course Objectives
The course aims to provide the students with the basic definitions and certain theorems of introductory real analysis and their economic applications.
At the end of the course, the student is expected to have acquired a certain level of mathematical analysis background and to have the insight of its main uses in economic theory.
Course Content
The course is an introduction to mathematical analysis with economic applications. Topics covered are set theory; Cauchy sequences; lim inf and lim sup; the finite dimensional metric space of real vectors; convergence; completeness; separability; compactness; continuity; Lipchitz and uniform continuity; connectedness, topics from finite dimensional convex analysis; applications.
Course Learning Outcomes
By the end of this course, students will be able to :
Apply basic theorems and techniques of analysis to economic contexts.
Use real analysis in economic theory.
Identify Pareto efficient allocations in certain simple economic settings.
Construct proofs for basic theorems in introductory real analysis.
Use basic logical and set theoretic arguments.
Answer basic questions about cardinalities of sets.
Identify Cauchy sequences and construct a proof for verification.
Find the liminf and limsup of a sequence of real numbers.
Determine whether a given relation on a set satisfies the properties of a weakly ordered set, a partially ordered set and/or a lattice.
Determine whether certain given subsets are dense in real numbers or not.
Determine whether certain given subsets of a metric space are compact or not.
Program Outcomes Matrix
| Level of Contribution | |||||
| # | Program Outcomes | 0 | 1 | 2 | 3 |
| 1 | Use and develop skillfully economic concepts and theories, analyse economic behaviour and events by conceptualizing and evaluating via scientific methods (Has skills regarding theory and analysis) | ✔ | |||
| 2 | Evaluate how economic policies affect economic performance and how economic interest, relationship and interaction affect policy decisions (Knowledgeable about economic policies) | ✔ | |||
| 3 | Design and carry out studies regarding data collection, analysis and evaluation, that can be used in decision processes at every level (individual, firm, government, etc.)(Knowledgeable about quantitative and qualitative methods) | ✔ | |||
| 4 | Evaluate systematically and compare economic knowledge, phenomena and methodology; Develop critical, creative/innovative approaches to these (Critical, creative, innovative) | ✔ | |||
| 5 | Understand current economic phenomena and relevant political developments using information and data from various resources and provide multifaceted explanations (Concerned about current events) | ✔ | |||
| 6 | Follow developments in economic theory and methods; Be open to continuous learning (Open to continuous learning) | ✔ | |||
| 7 | Have skills to work independently and in a team (Individual and teamwork) | ✔ | |||
| 8 | Approach critically to economic and societal events and problems while being sensitive to social problems; Produce solutions to these problems by scientific approach; Share own thoughts (Sensitive to social problems) | ✔ | |||
| 9 | Communicate clearly, effectively and fluently (in English and Turkish) verbally and in writing, utilizing new technologies (Has effective communication skills) | ✔ | |||
0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution