本课程着重在化学工程中所使用之现代计算及数学技术。由线性系统作为科学计算之基本计算单元讨论起，进而介绍非线性代数方程组、常微分方程组、微分代数(DAE)系统之解法。如同资料之统计分析与参数估算一样，机率理论及其在物理模式化之应用，亦包含在课程内。本课程亦介绍有限差分法及有限元素法等技术，以便将由输送现象所得之偏微分方程式转为DAE系统。在本课程中，这些技术之用法，将利用Matlab®计算环境来加以示范。

This course focuses on the use of modern computational and mathematical techniques in chemical engineering. Starting from a discussion of linear systems as the basic computational unit in scientific computing, methods for solving sets of nonlinear algebraic equations, ordinary differential equations, and differential-algebraic (DAE) systems are presented. Probability theory and its use in physical modeling is covered, as is the statistical analysis of data and parameter estimation. The finite difference and finite element techniques are presented for converting the partial differential equations obtained from transport phenomena to DAE systems. The use of these techniques will be demonstrated throughout the course in the Matlab® computing environment.