This course provides an overview of the development of modern logics, including the methodologies and the basic formal tools behind. The students are expected to learn the analytical methods from syllogistic logic, propositional logic, quantification logic, and so on, in order to understand and grasp how to evaluate, construct, and analyze good arguments in their daily life.

This course provides an introduction to the concepts and techniques of Linear Algebra. The contents include the properties and operations of matrices, the relationship between matrices and systems of linear equations, determinants, linear transformations, vector spaces, eigenvalues and eigenvectors, and orthogonality. Through the study of these materials, we also explain the applications of linear algebra in practice.

Macroeconomics is the study of structure and performance of national economies and government policies that affect economic performance. This course tackles macroeconomic issues and the wider economy, by exploring contemporary topics including fiscal policy, unemployment, inflation, economic growth, and international trade.

Macroeconomics is about a countr’s aggregate economic activities, such as economic growth, employment, price levels, international current account. The aim of this course is to let students learn and be able to use fundamental concepts and principles in macroeconomics to understand the latest developments in macroeconomics, and be able apply what they have learned in order to analyse different counties’ macroeconomic issues, especially those about macroeconomic policies and their effects on the aggregate economy.

Target StudentsThis is an introductory marketing course, and there is no prerequisite for taking the course. This is also a core business and management course, and it is appropriate for business school students in their first or second year.

Microeconomics is concerned with how societies allocate scarce resources. Microe-conomics deals with the interactions between and among individuals (households) and business rms. This introductory course teaches the fundamentals of microeconomics.

This ensures students have a solid grasp of the key microeconomic theories underpinning the subject, following the introductory course: The Microeconomics I. This course studies the behaviors of consumers and producers and their interactions, and covers the core concept of microeconomics: demand, supply, and market equilibrium.

The course covers two core topics: (1) individual decision making with a particular focus on consumers and producers, and (2) The foundation on markets and the outcomes of interaction between individuals in markets. The course is also a continuation study of the micro foundations of economic modeling and thinking. It provides analytical tools for applications in labor economics, industrial organization, international economics, micro-founded macroeconomics, public economics, etc..

Ordinary Differential Equation is a fundamental mathematics course that connects mathematical theories, in particular, Calculus, with practical applications. This course begins with some definitions and terminology and mathematical models used in a differential equations course. First-order and higher-order differential equations, along with the methods of solutions and their applications are introduced. Modeling with higher-order, and systems of linear first-order differential equations are covered. Numerical methods are covered throughout the course.

Partial differential equations (PDEs) play a central role in modern mathematics because they allow us to describe a wide variety of real-world systems. PDEs have applications in biology (spread of species), medicine (growth of tumours), sociology (emigration rates), economics (option pricing), chemistry (reaction rates), physics (radiation of electromagnetic waves), engineering (optimal transportation), and artificial intelligence (learning theories). Fundamental concepts of PDEs and methods for solving them are therefore important for understanding nature and technology.