A Mathmatics Course in Scientific Simulation

数学科学（21）本项目开发、实施、评估和传播科学模拟的两个课程序列。这个顺序包括建模、数值分析和计算机编程。本课程的首要目的是教学生如何解决需要他们学会如何表述问题的扩展问题；选择合适的数学工具；实现方法；获取、解释和沟通结果；然后利用这些信息来完善模型。第二个目的是让学生学习如何在解决问题的技巧中运用现代技术。本课程的总体动机是，大多数现实世界的问题都是在技术的帮助下解决的，并且需要这些类型的问题解决方法。在本课程中，学生将学习数值分析的基础知识，包括辛普森法则、龙格-库塔方法和有限差分模型。本课程还包括对面向对象c++编程的讨论，并展示如何使用计算机对象来简化科学编程。这门多学科课程的主要重点是模拟，如摆动的钟摆和催化的化学反应，这些可以从科学中得到。本课程改编自美国西北大学的“实验数学”课程。

Mathematical Sciences (21)This project is developing, implementing, evaluating, and disseminating a two course sequence in scientific simulation. This sequence involves modeling, numerical analysis, and computer programming. The first purpose of the course is to teach students how to solve extended problems that require them to learn how to formulate the problem; decide on the appropriate mathematical tool; implement the method; obtain, interpret, and communicate the results; and use that information to refine the model. The second purpose is for students to learn how to implement modern technology in their problem solving techniques. The overall motivation for the course is that most real world problems are solved with the aid of technology and require these types of problem solving methodologies.In this course students are learning the basics of numerical analysis, including Simpson's rule, Runge-Kutta methods, and finite difference models. The course also includes a discussion of object-oriented C++ programming and shows how computer objects can be used to simplify scientific programming. The primary focus of this multidisciplinary course is on simulations such as a swinging pendulum and catalyzed chemical reactions which can be taken from the sciences. The course is being adapted from the course "Experimental Mathematics" at Northwestern University.