No Pre-requisites required but familiarity with basic algebra and calculus is assumed. Anyone who interested in basic mathematics is always welcome. The course consists of three parts. In the first, we introduce some concepts from linear algebra. The second part is devoted to multivariate calculus constrained static optimization. The last section provides an introduction to differential equations and dynamic systems.This course covers the basic mathematical tools that are used in classical and modern economics analysis and econometrics. By the end of this course, students are expected to master a number of derivations techniques, and this mastering comes only at the price of doing a sizable number of exercise. The instructor is there to help you through the learning process.Critical thinking and the use of models to solve problems is emphasized. There are no other particular prerequisites.
Learning Objectives
To introduce the key mathematical theories that are applied in economic analysis such as equilibrium analysis, linear algebra and calculus
To develop the mathematical maturity so that students are not intimidated by mathematical notations and abstractions
To develop intuition, creativity, critical thinking and problem-solving skills of students
Expected Learning Outcomes
To solve a quadratic equation
To get familiar with basic functions like logarithm, exponential and power functions and their properties
To calculate derivatives and integrals involving functions that are often used in economic analysis
To understand the concepts of convex and concave sets and the relationship with convex and concave functions
To understand the basic rules for solving constrained or unconstrained optimization problem
To understand the basic elements of linear algebra, e.g. singularity and non-singularity of a matrix determinant and inverse of a matrix
Course Contents
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Week 9
Week 10
Week 11
Week 12
Week 13
Week 14
Week 15
Week 16
Assessment Elements
Mid-term test
Final exam
Homework
Interim Assessment
2025/2026 2nd module
0.4 * Final exam + 0.2 * Homework + 0.4 * Mid-term test
Bibliography
Recommended Core Bibliography
Fundamental methods of mathematical economics, Chiang, A. C., 1984
Fundamental methods of mathematical economics, Chiang, A. C., 2005
Fundamental methods of mathematical economics, Chiang, A. C., 2005
Recommended Additional Bibliography
9781292074610 - Knut Sydsaeter; Peter Hammond; Arne Strom; Andrés Carvajal - Essential Mathematics for Economic Analysis - 2016 - Pearson - https://search.ebscohost.com/login.aspx?direct=true&db=nlebk&AN=1419812 - nlebk - 1419812
Преподаватель
Десятников Иван Васильевич
Course Syllabus
Abstract
Learning Objectives
Expected Learning Outcomes
Course Contents
Assessment Elements
Interim Assessment
Bibliography
Recommended Core Bibliography
Recommended Additional Bibliography
Authors