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
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
Lecture 1 Introduction and classification of geometric modeling forms 1.1 Motivation Geometric modeling deals with the mathematical representation of curves, surfaces, and solids necessary in the definition of complex physical or engineering objects. The associated field of computational geometry is concerned with the development, analysis, and computer implemen tation of algorithms encountered in geometric modeling. The objects we are concerned with in engineering range from the simple
The outside surface of a ship is the surface of a solid with curvature in two directions. The curves which express this surface are not in general given by mathematical expressions, although attempts have been made from time to time to express the surface mathematically. It is necessary
