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

History of Quantum Mechanics The concept of the wave nature of atomic particles. This is the foundation of the mathematical discipline.(1) From wave mechanics we can understand and predict the properties of molecules as individual entities (the so-called microscopic state); (2) The properties of molecules(the macroscopic state) can be obtained by applying statistical techniques to these microscopic results

ourse topics Introduction Mathematical Background Rigid- Body Mechanics Robotic Kinematics Robotic dynamics

CFD the systematic application of computing systems and computational solution techniques to mathematical models formulated to describe and simulate fluid dynamic phenomena. Simulation is used by engineers and physicists to forecast or reconstruct the behaviour of an engineering product or physical situation under assumed or measured