Mathematics for Economics
| Numbering Code |
G-ECON31 5A407 LJ55 G-ECON31 5A407 LJ43 |
Year/Term | 2022 ・ First semester | |
|---|---|---|---|---|
| Number of Credits | 4 | Course Type | Lecture | |
| Target Year | Target Student | |||
| Language | Japanese | Day/Period | Tue.3・Fri.2 | |
| Instructor name |
SEKIGUCHI TADASHI (Institute of Economic Research Professor) SHIGOKA TADASHI (Institute of Economic Research Professor) |
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| Outline and Purpose of the Course | The course is divided into two parts. Shigoka teaches the first half, and Sekiguchi teaches the second. The first half covers Chapters 1-6 and Appendix of a textbook specified below (岡田章 『経済学・経営学のための数学』). The second half addresses probability and dynamics. The midterm exam will be conducted after the first half, and the final exam will be conducted after the second half. | |||
| Course Goals | You will learn the mathematical knowledge and applied skills required in economics, systematically and within a short period. In particular, the goal is to acquire various techniques in calculus, linear algebra, and static and dynamic optimization, which enables you to derive the supply, demand, and equilibrium of economic models. The first half is about fundamental topics of mathematics for economics, based on a standard textbook on that field. The second half, as in the first half, covers fundamentals but specializes in dynamics and probability. | |||
| Schedule and Contents |
Each half has 14 classes. In order to check the students' achievements in the first half and make the second half more instructive, we conduct a midterm exam. Thus the first half has 13 lectures, followed by a class for the midterm. The second half has 14 lectures. After the final exam, a feedback class will follow up the exam. [First half] Two or three lectures will be given on each of the following topics: 1. Logic, sets, mappings, real numbers, limits of sequences, and series 2. Linear algebra 3. Continuous functions and differentiation 4. Convex analysis and Kuhn-Tucker theorems 5. Metric spaces, topological spaces, and fixed-point theorems [Second half] Three or four lectures will be given on each of the following topics: 1. Optimization with infinite dimensionality: dynamic programming 2. Difference equations and stability of dynamical systems 3. Integral calculus 4. Probability and expected values |
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| Evaluation Methods and Policy | Evaluation will be based on results of the midterm and final exams but will also consider the homework assigned almost every week. | |||
| Course Requirements | High school and university beginner level mathematics is a prerequisite. Specifically, calculus of one-variable functions, operations on vectors and matrices, inner product calculations, etc. | |||
| Study outside of Class (preparation and review) | Solving problems is essential for learning mathematics. Students should solve and review assignments and exercises in the lecture notes. | |||
| Textbooks | Textbooks/References |
The first half uses the following textbook: 岡田章『経済学・経営学のための数学』、東洋経済新報社、2001年（ISBN:978- 4492312988） The second half is based on lecture notes, which will be distributed or uploaded on KULASIS when appropriate. |
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| References, etc. | Material will be introduced during class as required. | |||
