Where Are We Doing in This Chapter? After modeling a consumer’s choice set and his preference (represented by utility functions), we now put them together and model how he/she makes optimal choice. In mathematical terms, this is a constrained maximization problem; In economics, this is a rational choice problem

这一章的内容我认为是最有趣的。还记得前言中那个抽取骨架的例子吗？现在我们就来看看 它是如何实现的。 今天所讲的内容属于一门新兴的学科：数学形态学(Mathematical Morphology)。说起来很有 意思，它是法国和德国的科学家在研究岩石结构时建立的一门学科。形态学的用途主要是获 取物体拓扑和结构信息，它通过物体和结构元素相互作用的某些运算，得到物体更本质的形 态

The need for a richer language In P, it is not possible to express assertions about elements of a structure. First Order Logic is a considerably richer logic than propositional logic, but yet enjoys many nice mathematical properties

Mathematical models in GPS Review assignment dates (updated on class web page) Paper draft due Mon April 29 Homework 3 due Fri May 03 -Final class is Wed May 15. Oral presentations o papers. Each presentation should be 15-20 minutes, with additional time for questions. · Next three lectures:

一 .Character, Objective and Requirement (一)Character and Objective This course is for graduate students majoring in economic information management of enterprise management and in management science and engineering. It introduce students the knowledge of Operational Research and Decision Support System. By studying this curriculum, students are able to build the mathematical models of most kinds in business decision and economic decision area, and understand the concepts and methods of DSS

Two circuits are dual if the mesh equations that characterize one of them have the same mathematical form as nodal equations that characterize the other

§1 实数集与不等式 §2 初等函数

Where Are W e Doing in This Chapter? After modeling consumers' choice set and his preference (represented by utility functions), we now put them together and model how he/she makes optimal choice. In mathematical terms, this is constrained maximization problem; In economics, this is rational choice problem

Chapter 1 Introduction 1.1 What is econometrics? Application of st atistical and mathematical met hods to the analysis of economic Purposes 1. Testing economic theories 2. Policy analysis(simultaneous equations model, vector autoregressive model

Mechanical Engineering as a Profession 1、 Introduction Scientists study the world as it is, engineers create the world that never has been What is engineering Engineering is the art of applying scientific and mathematical principles, experience, judgment, and common sense to create things that benefit people In other words, engineering is the process of producing a technical product or system to meet a specific need What engineers do Engineers: Turning Ideas into Reality