京都大学 京都大学

Mathematics for Economics 1

Numbering Code U-ECON00 20107 LJ43 Year/Term 2022 ・ First semester
Number of Credits 2 Course Type Lecture
Target Year From 2nd to 4th year students Target Student
Language Japanese Day/Period Wed.1
Instructor name KAZUMURA TOMOYA (Graduate School of Economics Senior Lecturer)
Outline and Purpose of the Course The goal of this class is for students to learn the basics of mathematics necessary to understand economics. First, we will learn useful methods in Differential Calculus and Linear Algebra. Then, we will learn basic optimization problems (Optimization).
Course Goals Understanding useful concepts of Differential Calculus and Linear Algebra for analyzing economics.
Learning how to solve basic optimization problems (Optimization).
Students will be able to analyze various problems in economics using the concepts and solutions learned in this class.
Schedule and Contents I. Class Schedule
　Week 1 Guidance and Lecture
　Week 2-14 Lectures (including submission of assignments)
　Week 15 Exam

II Themes
(1) Introduction
　Economics and Mathematics
　Set Theory and Logic

(2) Calculus
　Limits of Real Numbers, Series, and Sequences
　Total Derivatives, Partial Derivatives
　Exponential Function, Logarithmic Function

(3) Linear Algebra
　Vector, Cauchy Schwartz Inequality
　Matrices, Determinants
　Eigenvalues, Eigenvectors
　Matrix and Simultaneous Linear Equations, Cramer's formula, etc.

4 Optimization Problems (Optimization)
　First-order and Second-order Conditions for Local Solutions
　Lagrange Multiplier
Evaluation Methods and Policy Participation in lectures (including assignment submissions) and exams. More detailed information will be provided separately.
Course Requirements None
Study outside of Class (preparation and review) Lecture Outlines and the report assignments will be communicated in advance, so prepare well and attend each lecture.
Textbooks Textbooks/References 岡田章 "経済学・経営学のための数学" (東洋経済新報社) ISBN:978-4492312988
PAGE TOP