Statistical Thermodynamics

Outlines

0. Review of mechanics and thermodynamics

1. The canonical ensemble and fluctuations

2. Classical and quantum statistics

3. Ideal gases and non-ideal gases

4. Chemical kinetics and equilibrium

5. Liquid state theory

6. Crystals

7. Distribution function formalism

8. Time correlation function formalism

College of Social Engineering Main Campus Sheng-Der Chao 54 Tuesday 7,8,9 AM7115 3 Half Graduate Institute of Applied Mechanics http://www.iam.ntu.edu.tw/English/EN-homepage/homepage-Frameset.htm

Game Theory with Applications

In this course we will study the interactions between multiple players (decision makers). Such problems arise frequently in supply chain applications. The interaction of a firm with its competitors, customers and suppliers can be modeled as a game, and hence, our main tool of analysis in this course will be Game Theory. Course goals will be accomplished through lectures, homework and readings. Lectures will emphasize the theoretical aspects of the field, and homework will focus on problem solving skills. This course will be offered in English. This course is designed to help students connect game theory with practices in issues of supply chains, industrial economics, or some related topics in decentralized systems, where individual entrepreneurs have their own profit functions and often are unwilling to reveal their own information to each other or the public. College of Social Engineering Main Campus I-Hsuan Hong 50 Thursday 6,7,8 IE5009 3 Half Graduate Institute of Industrial Engineering http://www.ie.ntu.edu.tw/en/

Materials Sciences and Engineering

Course introduction:

Chapter 1 Introduction

Chapter 2 Crystal Strucutre

Chapter 3 Imperfections of Solids

Chapter 4 Diffusion

Chapter 5 Mechanical Properties

Chapter 6 Dislocation and Strengthening Mechanism

Chapter 7 Failure

Chapter 8 Phase Diagrams

Chapter 9 Phase Transformations

Chapter 10 Thermal Properties

Chapter 11 Magnetic Properties `

Chapter 12 Optical Properties

Pre-requisition
:
Basic Chemistry, Basic Physics

Reference:

`Materials Science and Engineering`, 4th Edition, by William D. Callister, 1996

Students who is going to join the class should have the level at least one year general material knowledge. College of Social Engineering Main Campus Feng-Huei Lin 30 Tuesday 2,3,4 Biomed7005 3 Half Graduate Institute of Biomedical Engineering http://bme.ntu.edu.tw/english/

Fundamentals of Biomedical Image Processing

Image processing is a basic tool for biomedical image analysis. Ranging from contrast enhancement to stereotatic surgery, image processing provides various levels of assistance to the biomedical researches and clinical applications. As an introductory course to the biomedical image processing, the aim of this course is to offer the entry-level graduate students the fundamental image processing techniques. The scope of this course will cover the basic transformation techniques, properties of various medical images, image acquisition, processing and rendering. In addition to the regular lectures, the students are required to exploit advanced techniques independently to reinforce learning. It will include one term project and a couple of paper studies.

Actual implementation of the image processing algorithms on the biomedical images will be emphasized in this course. Although it is not a pre-requisite, the students need to use Matlab as the programming tool for the homeworks. There will be about five homeworks for practice. One exam will be given toward the end of the class. The students will be asked to demonstrate the result of the term project by an oral presentation and a written report.

Topics

l Basic Transformation Techniques

l Basics of Medical Images

l Image Acquisition, Sampling, and Quantization

l Image Enhancement

l Image Segmentation

l Image Compression

l Volumetric Image Analysis

l Rendering Techniques

Getting acquainted with the fundamental image processing techniques for medical images College of Social Engineering Chung-Ming Chen 20 Monday 2,3,4 Biomed7016 3 Half Graduate Institute of Biomedical Engineering http://bme.ntu.edu.tw/english/

Contemporary Solid State materials in a Nutshell

The discovery of superconductor in 1911 can be marked as the inception of contemporary solid state physics. The quest for understanding the mechanism behind superconductivity lasted for decades, until the BCS theory finally arrived in 1957. However, the endeavor to discover high-Tc superconductor continued till today. The rich variations of novel solid state materials also emerged during the past 50 years, with the advancement of materials growth technology. In this course, we will start from some advanced languages of solid state physics such as second quantization and Hubbard model, then discuss several materials systems using these new tools.

(0) Quick review of basic solid state physics

(1) Second quantization of fermions

(2) Electron-electron interaction

(3) Hubbard model

(4) Mott insulator and localization

(5) Second quantization of bosons

(6) Electron-phonon interaction

(7) Bose-Einstein condensation

(8) Superconductor

(9) BCS theory

(10) Mesoscopic transport

(11) Quantum Hall effect

College of Social Engineering Main Campus Chi-Feng Pai 40 Wednesday 2,3,4 MSE5053 3 Half Department of Materials Science and Engineering,
Graduate Institute of Materials Science and Engineering http://www.mse.ntu.edu.tw/index.php?lang=en

Biological Treatment Processes

Course outline:
1. Introduction

2. Wastewater of Characteriotics and flows

3. Fundamentals of Microbiology

4. Biological Reaction and Reaction Kinetics

5. Reactor Design (1) Kinetic Model Development(2) Evaluation of Biokinetic Constants

6. Aerobic Suspend-Growth Process (1) Activated Sludge Process (2) Oxidation Ditch(3)Treatment Ponds and Aerated Lagoon (4) Sequencing Batch Reactor(5) Deep Shaft Reactor

7. Aerobic Attached-Growth Treatment Methods(1) Trickling Filter(2) Rotating Biological Contactors(3) Activated Biofilm(4) Contact Aerated Reactor

8. Anaerobic Treatment(1) Introduction(2) Anaerobic Sludge Digestion(3) Anaerobic Wastewater Treatment

9. Nitrogen and Phosphorous Removal Method
College of Social Engineering Main Campus Hsin-Shin Tung 12 Thursday 7,8,9 EnvE7032 3 Half Graduate Institute of Environmental Engineering http://enve.ntu.edu.tw/dispPageBox/giee/GieeENHP.aspx?ddsPageID=GIEEEN

Air Pollution Control

This 3-credit class is held at the second semester; the content mainly focuses on introduction of removal mechanism and application of particulate and gaseous pollution control devices. The content includes (1) general introduction pertaining to history and regulatory framework; (2) properties of gaseous and particulate pollution in air; and (3) gaseous and particulate pollution control devices design and application approaches.
College of Social Engineering Main Campus Hsing-Cheng Hsi 30 Wednesday 6,7,8 EnvE7094 3 Half Graduate Institute of Environmental Engineering http://enve.ntu.edu.tw/dispPageBox/giee/GieeENHP.aspx?ddsPageID=GIEEEN

Applied Mathematics (Ⅰ)

There are three chapters in this course. Chapter one covers the Cartesian Tensors, which are extensive used in the courses of Elasticity, Plasticity, Fluid mechanics, Piezoelasticity, and etc. Chapter two includes three parts. The first part introduces the existence and uniqueness theory for the 1st order ordinary differential equation (ODE) and 1st order system of ODE. The second part covers the solution of 1st order linear system of ODE, which is particular useful for the course of Dynamics. The third part of this chapter is designed to the solution of linear 2nd order ODE with unknown source functions. We introduces the concept of Dirac delta function, generalized functions, adjoint operators, Fredholm alternative theorem, Green�fs functions and modified Green�fs functions and the integral representation of the solution of 2nd order ODE. Finally, Chapter 3 also includes three parts. The 1st part introduces the classification of linear 2nd order PDE. The 2nd introduces the Green�fs function and the integral representation of solution of 2nd order linear PDEs. Free space Green�fs functions are solved first for infinite domain and then method of images are introduced for solving some simple finite domain PDE problems. The 3rd part introduces the eigenvalue problem of self-adjoint boundary value problems of 2nd order PDE, and the full/partial eigenfunction expansion for solving the linear 2nd order BVP or IBVP. Also included in this part are the Maximum-Minimum principle and unique theorems for Laplace/Poisson equation and Heat equation. This course is aimed to let the graduate students own required knowledge in applied mathematics, which has applications in all aspects of mechanics, electricity and applied science. College of Social Engineering Main Campus Mao Kuen Kuo,U Lei 98 Tuesday 2 Friday 34 AM7006 3 Half Graduate Institute of Applied Mechanics http://www.iam.ntu.edu.tw/English/EN-homepage/homepage-Frameset.htm

Dynamics

1. introduction and scope
2. introduction to mechanical vibrations
motion of sdof systems
motion of mdof systems
finite element analysis of vibrating mechanical systems
3. introduction to waves in structures
longitudinal and flexural waves
vibration of beams
vibration of thin plates
4. concept from linear system theory
single-channel feedback control
stability of single-channel system
modification of the response of an sdof system
5. transduction device dynamics and the physical system
principal types of transduction devices
piezoelectric material and definitions
piezoelectric sensors and actuators
fiber optic vibration sensors
shape memory alloy actuators and sensors
self-sensing actuator
electrostrictive and magnetostrictive actuators
signal conditioning
6. active control of vibration in structures
feedforward control of finite structures
feedback control of finite structures
feedforward control of wave transmission
7. damping of structural vibrations with piezoelectric materials and passive
electrical networks
passive electrical networks: resistive shunting and resonant circuit shunting
passive-active hybrid control system
8. the epilogue : research issues
references
[1] rao, s.s., mechanical vibrations, 3rd ed. addison-wesley, 1995
[2] fuller, c.r., elliott, s.j. and nelson, p.a., active control of vibration, academic press, 1996.
[3] tzou, h.s., and anderson, g.l., (ed.), intelligent structural systems, kluwer academic pub., dordrecht/boston, 1992. Students after learning this course should know how to derive the constitutive laws for materials and have the ability to derive the equations of motion based on the Hamilton’s principle for continuous structures.

Students are taught to perform theoretical analysis of vibration and wave motion of structures. They would be well trained with the knowledge of suppressing the vibration and noise of structures by the means of different passive and active feedback-control techniques together with sensors and actuators.

Various applications from sensors to actuators are introduced and their working principles will be interpreted.

College of Social Engineering Main Campus Kuo-Ching Chen 60 Tuesday 3,4 Thursday 2 AM7021 3 Half Graduate Institute of Applied Mechanics, Transprotation Electrification Technology Program http://www.iam.ntu.edu.tw/English/EN-homepage/homepage-Frameset.htm

Elasticity (Ⅰ)

When a body is subjected to external loads, internal stress is induced in the

body and the body deforms accordingly. If the body restores its original shape

as the external loads are removed, it is called an elastic body. On the other

hand, if the loading is so large such that permanent deformation takes place,

the response of the body is inelastic. Usually engineering materials are

designed to behave in the elastic range. The objective of the course is to

discuss methods that can be used to analyze the stress and deformation of

elasitic bodies under external loading.

The students should acquire the following knowledge as the semester ends:

1. various measures to describe the deformation of a body, the physical meanings and the transformation of these measures, and compatibility condtions of strains.

2. relation between stress vector and stress tensor; equations of motion, principal stress, and maximum shearing stress.

3. hyperelastic materials and the generalized Hooke’s law, isotropic materials, and the relation between elastic constants and engineering constants.

4. formulation of elasticity problems in rectangular, cylindrical, and spherical coordinate systems, and the principle of virtual work.

5. analysis of problems with only on independent variables, such as a spherical shell subjected to internal pressure.

6. analysis of plane strain and plane stress problems, and the airy stress function.

7. analysis of torsion problems.

8. analysis of bending problems and the Timoshenko beam theory.

College of Social Engineering Main Campus Kuang Chong Wu,Pei Ling Liu 98 Monday 3,4 Wednesday 2 AM7050 3 Half Graduate Institute of Applied Mechanics http://www.iam.ntu.edu.tw/English/EN-homepage/homepage-Frameset.htm

Fundamental of Fluid Dynamics

1. Introduction and basic math (3 hrs)

(1) Introduction

(2) Scalars, vectors, and tensors

2. Kinematics (6 hrs)

(1) Lagrangian vs. Eulerian specifications, material derivatives

(2) Streamline, path line, and streak line

(3) Strain rate

(4) Vorticity and circulation

3. Conservation law (12 hrs)

(1) Reynolds transport theorem

(2) Conservation of mass, scalar, and heat

(3) Conservation of momentum: Navier-Stokes equation, viscous vs. inviscid flows

(4) Bernoulli equation

4. Vorticity dynamics (6 hrs)

(1) Kelvin’s circulation theorem

(2) Helmholtz vortex theorems

(3) Vorticity transport equation

5. Potential flow (6 hrs)

(1) Fundamentals and examples

(2) Conformal mapping

6. Laminar flow (8 hrs)

(1) Examples of steady flows

(2) Stokes’ first problem and similarity solution

The course aims to provide students a solid background of fluid mechanics required for related

research works.
College of Social Engineering Main Campus Yi-Ju Chou 98 Monday 2 Thursday 3,4 AM7097 3 Half Graduate Institute of Applied Mechanics http://www.iam.ntu.edu.tw/English/EN-homepage/homepage-Frameset.htm

Railroad Transportation Engineering

(1) introduction to railroad transportation systems

(2) principles and analysis of railroad transportation efficiency, economics, energy, and engineering

(3) introduction to railroad infrastructure

(4) introduction to locomotive and rolling stock design, function, and operation

(5) introduction to railway traffic control and signaling

(6) introduction to railroad operations

(7) field trip: railroad track, equipment, and operations

Rail transportation requires infrastructure, vehicles, motive power and energy to move goods and people. Each of these factors interacts to affect the efficiency, energy requirements and economics of railroad operation. This course covers the principles of railroad transportation efficiency, economics, energy, and engineering. Topics include introduction to railroad infrastructure, rolling stocks, signal systems, and operations. The course is designed to establish the basic understanding and skills for conducting railway research and industrial projects. College of Social Engineering Main Campus *Restrict to 3rd-year and above. Yung-Cheng Lai 70 Friday 7,8,9 CIE5075 3 Half Department of Civil Engineering, Graduate Institute of Civil Engineering, Transporation Engineering Division http://www.ce.ntu.edu.tw/ce_eng/