本课程具有如下特点：1) 采用案例教学，重点讲解如何从实际问题中提出数学模型以及如何通过数学模型解决实际问题，而非介绍模型中的数学。2）课程内容多样, 信息量大, 尽量避免复杂的数学推导, 适合多媒体教学。
Introduction to Mathematical Modeling
Mathematical modeling is a basic optional course of Computer Science and Technology for the undergraduates. Through this course, students could understand and master how to turn the practical problems into mathematical models, and then to solve the models according to appropriate mathematical algorithms.
Practical problem solving with a mathematical method includes several steps. First of all, a real problem should be simplified into a solvable mathematical model based on some presumptions. Then, we need to choose a proper numerical method and do programming accordingly. In the end, the problem is solved with computer. Generally, mathematical modeling is an integrated process. However, the course is focused on the first step --- modeling procedure, and includes problem solving and consequence explaining.
Features of this course are listed as follows: 1) it applies case teaching. The emphasis of the course is to extract mathematical models from practical problems and solve the real problem with it, but not to describe the mathematics theories or algorithms in the models. 2) the course contents are various and informative without too much mathematical derivation, so it suits to multimedia teaching.
Mathematical modeling is widely used in daily life. As a course, it not only helps students build up the concept of modeling including the basic process, method and skill, but also deeply enlightens them relative mathematical theories. Besides, it could train students’ comprehensive abilities to analyze and solve practical problems by using mathematical theory and method with computer technology. In the meantime, it can further widen students’ knowledge scopes and cultivate their scientific research capabilities.