Sustainable Development Goals

Abstract/Objectives

This course focuses on mathematical modeling as a means to explore natural phenomena and tackle sustainable development challenges. It introduces students to various mathematical models involving ordinary differential equations, partial differential equations, and stochastic differential equations, fostering their ability to apply this knowledge to real-world problems. Students will delve into the classification and properties of these equations, while learning fundamental theoretical analysis techniques necessary for model construction. Specific applications will include infectious disease models, which help in understanding disease transmission and control, as well as electrolyte solution models applicable in water treatment and energy storage. By the end of the course, students will possess a solid foundation in differential equations and mathematical modeling, equipping them to analyze and solve practical issues related to health, environment, and energy sustainability.

Results/Contributions

Mathematical modeling is an important tool for exploring the mysteries of nature and addressing sustainable development challenges. This course will introduce several mathematical models that involve ordinary differential equations and partial differential equations, and provide an in-depth understanding of their physical background and related theories, with the aim of cultivating students' ability to use mathematical knowledge to solve problems related to sustainable development. Students will learn about the classification and properties of ordinary differential equations, partial differential equations, and stochastic differential equations, laying the foundation for subsequent model construction and analysis. The course will also introduce fundamental theoretical analysis tools to help students develop their ability to use mathematical modeling to solve practical problems, such as infectious disease models, population growth models, and electrolyte solution models, among others. The classical infectious disease model presented in the course will help students understand and analyze the transmission pathways, control strategies, and epidemic predictions of infectious diseases, enabling them to respond to public health challenges and achieve health sustainability. Understanding electrolyte solution models will empower students to study the transport and distribution of ions in solutions, which can be applied in fields like water treatment and energy storage, promoting environmental sustainability. Students will have a solid theoretical foundation in differential equations and mathematical modeling skills, and will be capable of using mathematical tools to analyze and solve practical problems, particularly those related to sustainable development. This course emphasizes using mathematical knowledge to solve and learn how to construct and analyze different models. Students will understand how to use mathematical tools to simulate, predict, and address sustainability issues related to the environment, health, and energy.

Keywords

Ordinary differential equationsPartial differential equationsStochastic differential equationsNumerical simulationTheoretical Analysis

Contact Information

李金龍老師
chinlungli@mx.nthu.edu.tw