Pronunciation of mathematical expressions The pronunciations of the most common mathematical expressions are given in the list below. In general, the shortest versions are preferred (unless greater precision is necessary)

数学模型(Mathematical Model)：对于一个特定的 对象，为了一个特定的目标，根据特有的内在规律，做出一 些必要的简化假设，运用适当的数学工具，得到一个数学结 构。 数学建模(Mathematical Modeling)：建立数学模型 的全过程，通常包括问题分析、模型建立、模型求解、结果 检验和应用

1.1 Mathematical formulation （数学描述）of heat transfer and fluid flow (HT & FF) problems 1.2 Basic concepts of NHT, its importance and application examples 1.3 Mathematical and physical classification of HT & FF problems and its effects on numerical solution

2.1 Method-1：Modeling with Experiments 2.2 Method -2：Modeling with Simulation 2.3 Realization with Matlab

Mathematical basis of stability analysis =f(x,y) system of two coupled differential equations y=g(x,y) step 1 find nullclines and fixed point(s)

《概率论与数理统计》(Probability Theory and Mathematical Statistics),由概率论和数理统计两部分组成。它是研究随机现象并 找出其统计规律的一门学科,是广泛应用于社会、经济、科学等各个领 域的定量和定性分析的科学体系

Object: to describe the fieds generated by electric charges and currents Mathematical tools A field is a function describing a quantity at all points in space

Basie cCoucept Boolean algebra (Logic algebra) is closure mathematical system that defines a series of logic operation (and, or, not) performed on set k of variables (a, b,...) which can only have two values of 0 or 1

第一次随机事件与古典概型 一.填空 1.写出下面随机事件的样本空间:(1)袋中有5只球,其中3只白球2只黑球,从袋 中任意取一球,观察其颜色 (2)从(1)的袋中不放回任意取两次球 (每次取出一个)观察其颜色 (3)从(1)的袋中不放回任意取3只 球,记录取到的黑球个数

本章主要讲述离散型随机变量的数学期望连续型随机变量的数学期望,随 内容机变量的函数的数学期望,数学期望的性质方差的概念,方差的计算,方差的 性质;协方差及相关系数的定义,协方差与相关系数的性质,矩等内容