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10301 工程
結晶繞射概論
黃振昌 教授

不再當迷途羔羊!牧羊人黃振昌帶你領略材料世界!別人學晶體繞射猶如梅西射門,漂亮得分!自己學晶體繞射卻是絲線纏繞,苦惱萬分!嘿!你也是學習路上的迷途小羊嗎?你還在迷茫於未來該走的方向嗎? 別擔心!

 


【指定用書】
             Textbooks

Lecture notes “ for educational purposes only ”
Christopher Hammond, “The Basics of Crystallography and 
  Diffraction”, 3rd edition, Oxford, 2009.

 

 

【參考用書】
       Referncnces

♠  B.D. Cullity, “Elements of X-ray Diffraction”, 3rd edition, Prentice Hall, 2001.
Eugene Hecht “Optics”, 2nd edition, Addison-Wesley, 1987.
John M. Cowley, “Diffraction Physics”, 3rd edition, North-Holland,
  Elsevier Science, 1995.
  John Wisley & Sons, 1986.

 
   

  
 結晶繞射概論講義!】

10301 人文社會
《資治通鑑》選讀:兩晉
張元 教授
清大張元教授溫厚而富有情感的聲調有如吸飽墨水的毛筆,風雅而有趣的敘事方式述說歷史故事,彷彿是以學生的腦海為畫布,栩栩如生地描繪出兩晉人物的愛恨嗔癡、道盡沒入歷史洪流的悲歡離合!邊聽故事邊看書不該只是幼童的特權!美好的聽書經驗不應只待成追憶!還在尋找心中嚮往的那位說書人嗎?
 
 
 
【課程介紹】
      
Course Description
  《資治通鑑》是一部經典名著,閱讀這部名著,就像閱讀任何經典一樣。我們應該如何閱讀經典作品呢?喬治.史坦納在《勘誤表—審視後的生命》一書中提及我們讀經典時:「經典會問我們:『你了解了嗎?』『你負責任地重新想像了嗎?』『就我提出的種種問題,和蛻變後更豐富的種種潛力,你準備好以此採取行動了嗎?』」(頁22)這也許就是我們閱讀經典的目標和方法,《資治通鑑》的閱讀自然也不例外。本次課程以「兩晉」部分為主要內容。我們選取《通鑑》中的某些片段,或配合正史中的記載,或配合王夫之的《讀通鑑論》,也選一點當今學者的研究,組成閱讀的資料。每一段資料都有標題,資料力求精簡,閱讀力求深入。一個學期所讀《通鑑》可能不多(大概無法達成課程進度所列的內容),但希望養成「熟讀精思」的讀書方法與習慣。 

    本課程希望修習同學在閱讀資料時思考問題,上課時發表各自的意見,形成討論。本課程以思考傳統史著中的「問題」為主,上課不會作古文的白話語譯,同學多讀之後,古文閱讀能力自然加強。 唐人的詩:「萬里山河唐土地,千年魂魄晉英雄」,近人宗白華撰有〈論《世說新語》與晉人的美〉一文,均突顯晉代人物的特色。所以,儘管西晉政局甚亂,東晉內爭不休,仍有其他時代所無的特殊景色,可以「觀看」。閱讀《通鑑》,宛如進入時光的旅程,運用想像力的眼睛,觀看一番。 

     上課開始的十分鐘,有一「開場白」,介紹一本不是歷史,也不是小說的課外書。卡爾維諾在《為什麼讀經典》(時報出版)一書述及「經典」時,提及經典的閱讀與現代作品的閱讀,應是互為背景。他說:「我們可以說,能夠從閱讀經典中獲得最大利益的人,是有技巧地輪流開讀經典與適當代資料的人。」(頁7),「開場白」的作法,即師其意。我們閱讀此書,雖然只是片段,也可以看到一些精彩的故事與動人的情景,只要用心去體會許許多多記錄者、撰述者一字一句寫下這些文字時,蘊藏心中的關懷與感動,這些故事與情景就會產生撼動的力量,讓我們有所轉化,把我們的情志修養帶向更高的境界,讓我們成為繼承傳統優良文化,形塑明日理想社會的好公民。
 
 

【指定與參考用書】
      Textbooks and References
《資治通鑑》、《晉書》、《世說新語》、《讀通鑑論》的片段。 
 ■  圖書館中有關《資治通鑑》之書籍、論文等。 
 
 

 
【教學方式】
      Teaching Methods
     由於這不是教師一人「演講」式的課,而是大家進行「討論」的課,所以,修習同學必須出席。課前需閱讀,上課應發言。 
 


 
【教學進度 】
       Syllabus

【WeeK1】課程介紹:《資治通鑑》是一本怎樣的書 

【WeeK2】晉武平吳 天下一統(一) 
    1、羊祜王濬 乗積極準備
   
 2、賈充專權 女適太子
    3、羊陸對峙 佳人佳話 


【WeeK3】晉武平吳 天下一統(二)
    4、范粲不言 亢志堅忍
    5、羊祜上疏 籲主伐吳
    6、馬隆西討 平定涼州 
    7、姿貌魁偉 文武長才 


【WeeK4】晉武平吳 天下一統(三) 
    8、武帝決定 大舉伐吳
    9、并官務農 省事清心
   10、一片降幡出石頭 


【WeeK5】侈汰無度 動亂不已(一) 
    1、豪貴驕奢 風氣侈靡
    2、分封子弟 並未之國 宗王出鎮 坐擁強兵 
    3、楊駿敗陣 賈后專朝 天理既絕 大亂將作
    4、名教自然 將無同! 


【WeeK6】侈汰無度 動亂不已(二) 
    5、拓跋興起 西略諸國
    6、羌胡內徙漢人侵之 性悍情憤暴害不測 反其舊土戎晉不雜 不憚小勞長享安逸
    7、賨李入蜀 蜀民大悅
    8、驕者必敗 識者知之 


【WeeK7】中原板蕩 西晉覆亡(一) 
    1、四海鼎沸 胡族奮起 2、劉淵稱王 英傑為輔 3、羯人石勒 漸露頭角
    4、陳敏據有江東 英俊不附 顧榮輕揮羽扇 敵眾潰逃
    5、李雄稱帝 盜亦有道 


【WeeK8】期中測驗 

【WeeK9】中原板蕩 西晉覆亡(二) 
    6、清靜為政 江東歸心
    7、石勒勢力 不斷增長
    8、江左夷吾 正色新亭 
    9、東夷不靖 慕容興起
    10、石勒趨向 張賓獻策 


【WeeK10】中原板蕩 西晉覆亡(三) 
    11、受制於人 吳人恚怨
    12、擊楫渡江 誓復中原
    13、妄殘殘虐 宜其覆滅 
    14、西晉一代 干寶總結 



【WeeK11】帝即位 祚延江東 上午 10:57 2014/10/28
    1、御床共坐 王導固辭
    2、刻碎之政 內亂不免
    3、王敦舉兵 士人惶惑 
    4、廷尉山頭 蘇峻起事
    5、温嶠陶侃 擊滅蘇峻
    6、聰敏恭勤 明毅善斷 窺窬之志 折翼而止 


【WeeK12】胡羯雄張 中原動盪(一) 
    1、 越石孤忠 宜在褒恤
    2、遼東士民 不問華夷
    3、關中情勢 擾攘不安
    4、隴上壯士 有陳安
    5、救援洛陽 擒獲劉曜
    6、掃平秦隴 石勒即位 


【WeeK13】胡羯雄張 中原動盪(二) 
    7、國家禍根 宜早清除
    8、石勒去世 動亂即起
    9、關山萬里 致忠朝廷 
   10、石趙君主 禮佛敬僧
   11、石虎父子 奢糜殘暴
   12、乃心宗國 得歸故里 


【WeeK14】木猶如此 人何以堪(一) 
    1、東晉兩宋 船山絜論
    2、荊州門戶 桓温當之
    3、蜀主驕淫 桓温克之
    4、殺弟謀父 禽獸不如
    5、危難當前 嚴肅對待 訴之情理 化解無形 


【WeeK15】木猶如此 人何以堪(二) 
    6、身處喪亂 何其難也
    7、揮軍入關 不渡灞水 捫蝨而談 旁若無人
    8、秦人若在 當知苻生之多誣 東海王堅 能得英雄之為助
    9、安石不出當如蒼生何
   10、思念愛子 鬢髮中白 


【WeeK16】木猶如此 人何以堪(三) 
    11、用兵之道 豈在殺戮
    12、桓温北伐 不從郗超之謀 枋頭徘徊 終為慕容所敗
    13、史事之實 終不能沒
    14、王猛計謀 温公斥之
    15、桓温顗覦大位 王謝全力扺制 


【WeeK17】世族門閥 日薄崦嵫(一) 
    1、苻堅寛弘 王猛精算
    2、桓郗凋零 盛勢不再 王謝風華 掌握大權
    3、君主執意南巡 臣下表態贊否
    4、秦軍百萬兵敗肥水何以故 燕祚已興不殺苻堅有說乎 

【WeeK18】期末測驗  

 

10301 工程
通訊概論
李家同 教授
Can you imagine that your computer is not connected to any network? Can you imagine that your computer is a network through some wireless technology? Is a hand held mobile phone a phone or a computer? Can our TV become a computer? 
Can you design a computer in which all of the peripheral devices are connected to the computer through wireless communication? 
In this course we will introduction the six topics to Non-Electrical-Engineering Students

1. An Overview of Computer Communication 
  1.1 Analog and Digital Signals 
  1.2 Two Kinds of Media: Electrical and Electromagnetic 
  1.3 Carrier and Modulation 
  1.4 The Real Time and Non-real Time Transmission Problems 
  1.5 The Multiplexing Receiving Problem  
  1.6 The Multiplexing Transmission Problem  
   1.7 The Basic Concepts of Antenna Design 
   
2. Conversions Between Analog and Digital Information 
  2.1 Pulse Code Modulation 
  2.2 Minimum Sampling Rate-Nyquist Rate 
   
3. Fourier Representations for Signals 
  3.1 FourierSeries 
  3.2 Fourier Transform 
  3.3 FT Representations for Periodic Signals 
  3.4 The Fast Discrete Fourier Transform 
  3.5 The Physical Meaning of the Fourier Transform 
   
4. Analog Modulation Techniques 
  4.1 AmplitudeModulation 
  4.2 Double Sideband Suppressed-Carrier (DSB-SC) 
  4.3 Single Sideband Modulation (SSB) 
   
5. Digital Modulation Techniques 
  5.1 Baseband Pulse Transmission 
  5.2 Amplitude-Shift Keying (ASK) 
  5.3 Binary Phase-Shift Keying (BPSK) 

 

6. Multiple Access Communications
  6.1 Frequency-Division Multiple Access(FDMA)
  6.2Time-Division Multiple Access(TDMA)
  6.3 Code-Division Multiple Access(CDMA)
  6.3.1Two-User CDMA System 
  6.3.2K-user CDMA system
  6.4Carrier Sense Multiple Access
  6.5The Multiplexing Transmission Problem
   

 
【指定用書】
      Text Books

Introduction to Communications for Non-Electrical-Engineering Students by Mao-Ching Chiu ,Chia-Tung Lee , Eric S.Li ,Jung-Shan Lin and Tai-Ping Sun 

10301 自然科學
生命科學一
焦傳金 / 莊永仁 / 李家維 教授

尋找興趣,提早準備,贏在起跑點!!想追求更多課本以外的專業知識嗎? 清華大學開放式課程為你種植了一座學習資源森林,等你來探索!現在就走進開放式課程的森林,品嚐最甜美的知識果實!Tsinghua University, Taiwan by the UN General Assembly cloud Tsinghua classic courses for you to build a strong faculty and Information Engineering background, allowing you to information UPDATE, win at the starting point!

 

 
 
【指定用書】
        Text Book
Campbell Biology (10th Edition), Jane B. Reece , Lisa A. Urry, Michael L. Cain, Steven A. Wasserman , Peter V. 
Minorsky, Robert B. Jackson (2013)

 

 
【教學進度】
       Course Schedule
   
 【Week 1】


Life on Earth I - Ch01: Biology and Its Themes
Life on Earth II - Ch25: Macroevolution
♠Instructor: Li

 【Week 2】


Life on Earth I - Ch01: Biology and Its Themes
Life on Earth II - Ch25: Macroevolution
♠Instructor: Li

 【Week 3】


Ch03: The Chemistry of Water
♠Instructor: Chiao


 【Week 4】


Ch04: Carbon: The Basis of Molecular Diversity
Ch05: Biological Macromolecules and Lipids
♠Instructor: Chiao

 【Week 5】


Ch06: Energy and Life
Ch07: Cell Structure and Function
♠Instructor: Chiao
 
 【Week 6】


Week 6  2014 / 10 / 23 :
Ch09: Cellular Signaling
♠Instructor: Chiao

 【Week 7】


Ch10: Cell Respiration
Ch11: Photosynthetic Processes
♠Instructor: Chiao
 

 【Week 8】



 

Ch12: Mitosis
Ch13: Sexual Life Cycles and Meiosis
♠Instructor: Chiao
 
 【Week 9】

Midterm Examination ( Ch01-13 & Ch25)
 【Week 10】



Ch14: Mendelian Genetics
Ch15: Linkage and Chromosomes
♠Instructor: Chuang

 【Week 11】



Ch16: Nucleic Acids and Inheritance
Ch17: Expression of Genes
♠Instructor: Chuang

 【Week 12】



Ch18: Control of Gene Expression
Ch26: Introduction to Viruses
♠Instructor: Chuang

 【Week 13】


Ch19: DNA Technology
♠Instructor: Chuang

 【Week 14】


Ch20: The Evolution of Genomes 
♠Instructor: Chuang

 【Week  15】



Ch21: How Evolution Works
Ch22: Phylogenetic Reconstruction
♠Instructor: Li

 【Week 16】

 No class

 【Week 17】




Ch23: Microevolution
Ch24: Species and Speciation
♠Instructor: Li

 【Week 18】  Final Examination ( Ch14-24 & Ch26)
   

 

10202 自然科學
普通物理二
林秀豪 教授

近年來,普通物理的課本越長越厚。老師怎麼教?學生如何讀?物理系專業的課程,教科書也沒長到這般怪獸的厚度,這真的是最有效率的學習方法嗎?我不以為然。在99學年,我決意進行一項普物教學的改革:每個學期我只教十個問題...

Ten Questions we will discuss this semester
Q1: Why are most materials charge neutral?
Chapter 21 – Electric Charge and Electric Field
Chapter 22 – Gauss’s Law

Q2: What causes lightning?
Chapter 22 – Electric Potential Chapter 24– Capacitance, Dielectrics, Electric Energy Storage

Q3: Can magnetic forces do work?
Chapter 27 – Magnetism

Q4: How does the geomagnetic field arise?
Chapter 28 – Sources of Magnetic Field

Q5: Why can light propagate in vacuum?
Chapter 29 – Electromagnetic Induction and Faraday’s Law
Chapter 30 – Inductance, Electromagnetic Oscillations and AC Circuits
Chapter 31 – Maxwell equations and Electromagnetic Waves

Q6: What is the nature of light?
Chapter 34 – The Wave Nature of Light; Interference
Chapter 37 – Early Quantum Theory and Models of the Atom

Q7: Why are atoms stable?
Chapter 38 – Quantum Mechanics
Chapter 39 – Quantum Mechanics of Atoms

Q8: How is the secret of life encoded?
Chapter 40 – Molecules and Solids

Q9: How can we date fossils?
Chapter 42 – Nuclear Physics and Radioactivity

Q10: What are the building blocks of our universe?
Chapter 43 – Elementary Particles Chapter 44 – Astrophysics and Cosmology

Lectures (Spring, 2014)
【Week 1】
 Feb 18 (Tue) Course introduction Feb 20 (Thu) Why are most materials charge neutral?


【Week 2】
 Feb 25 (Tue) Coulomb’s law and electric field Feb 27 (Thu) Gauss’s law

【Week3】
 Mar 4 (Tue) What causes lightning? Mar 6 (Thu) electrostatic potential energy

【Week4】
 Mar 11 (Tue) Can magnetic forces do work? Mar 13 (Thu) Hall effect

【Week5】
 Mar 18 (Tue) Magnetic materials Mar 20 (Thu) How does the geomagnetic field arise?

【Week6】
 Mar 25 (Tue) Biot-Savart law Mar 27 (Thu) Ampere’s law

【Week7】
 Apr 1 (Tue) Why can light propagate in vacuum? Apr 3 (Thu) 校際活動週(停課) Week 8 


【Week8】
 Apr 8 (Tue) dynamics of electric and magnetic fields Apr 10 (Thu) Maxwell equations

【Week9】
 Apr 15 (Tue) Maxwell equation 2 Apr 17 (Thu) energy and momentum in EM waves

【Week 10】
 Apr 20 (Sun) 期中考 Apr 22 (Tue) 期中考講解 Apr 24 (Thu) What is the nature of light?

【Week 11】
 Apr 29 (Tue) resolution limit May 1 (Thu) blackbody radiation 

【Week 12】
 May 6 (Tue) Why are atoms stable? May 8 (Thu) de Broglie wave 

【Week 13 】
 May 13 (Tue) Schrodinger equation May 15 (Thu) Schrodinger equation 2

【Week 14 】
 May 20 (Tue) angular momentum and spin May 22 (Thu) Pauli exclusion principle

【Week 15】
 May 27 (Tue) How is the secret of life encoded? May 29 (Thu) band theory of solids

【Week 16】
 Jun 3 (Tue) How can we date fossils? Jun 5 (Thu) magnetic resonance imaging

【Week 17】
 Jun10 (Tue) What are the building blocks of our universe? Jun 12 (Thu) after the big bang 

【Week 18】
 (Final Week) Jun15 (Sun) 期末考 Jun 19 (Thu) 期末考講解

  

【10210林秀豪教授普通物理2手寫筆記

10202 自然科學
常微分方程二
許世壁 教授
清大數學系重量級教授退休前的最後一堂課,讓許世璧教授以嚴謹仔細的教學,讓你從源頭開始輕鬆理解ODE!沒上過許世璧教授的課,別說你懂常微分方程!體驗經典,就是現在!Want to understand ODE? Now, no longer hesitate, take the last chance to see how NTHU math titan, Prof. Sze-Bi Hsu copes well with this quite complicated subjects.
 
 
課程說明
        Course Description  
Ordinary differential equations has wide applications in all areas of natural science, social science, and is fundamental to other areas of mathematics, such as partial differential equations, geometry, and probability. This course is intended for graduate and advanced undergraduate students who have taken standard undergraduate courses for differential equations, linear algebra, and
complex analysis. Topics to be covered in the spring semester include Lyapunov stability, index theory, perturbation methods, Sturm-Liouville theoy, Hamiltonian systems.

Registered students are recommended to use the iLMS e-learning system
(http://www.nthu.edu.tw/elearning.php), where updates of the course will be posted. Contact your teaching
assistant if you have any question. 
 
 
指定用書
        Textbooks
Sze-Bi Hsu: Ordinary Differential Equations with Applications. 
  World Scientific, 2013, 2nd edition 
   
 
  
參考書籍
        References
 
  McGraw Hill, 1984.
   
   

  
教學方式
      Teaching Method
      演講及計算 Lecture and calculation
 
  
教學進度
      Syllabus
    ♠ Chapters 5-9 of the textbook. (tentative)
        Introduction
          Fundamental Theory
          Linear Systems
          Stability of Nonlinear Systems
          Method of Lyapunov Functions
          Two-Dimensional Systems
          Second Order Linear Equations
          The Index Theory and Brouwer Degree
          Perturbation Methods
          Introduction to Monotone Dynamical Systems

 

10201 自然科學
普通物理一
林秀豪 教授

近年來,普通物理的課本越長越厚。老師怎麼教?學生如何讀?物理系專業的課程,教科書也沒長到這般怪獸的厚度,這真的是最有效率的學習方法嗎?我不以為然......

 

Ten Questions  we will discuss this semester

Q1: What is time?
  Chapter 36 – Special Theory of Relativity
Q2: How to describe a dynamical system?
  Chapter 4 – Dynamics: Newton’s Law of Motion
Chapter 14 – Oscillations 
Q3:Do forces always appear in pairs? 
  Chapter 9 – Linear Momentum
Q4: Is energy always conserved?
  Chapter 7 – Work and Energy
Chapter 8 – Conservation of Energy
Q5: How does a rotating top maintain its balance?
  Chapter 10 – Rotational Motion
Chapter 11 – Angular Momentum; General Rotation
  Q6: Are black holes black?
  Chapter 6 – Gravitation and Newton’s Synthesis
Chapter 44 – Astrophysics and Cosmology
Q7: Is pressure in liquids a scalar, a vector or a tensor?
  Chapter 13 – Fluids
Q8: What is propagating in traveling waves?
  Chapter 15 – Wave Motion
Chapter 16 – Sound
  Q9: How is thermal equilibrium reached?
  Chapter 17 – Temperature, Thermal Expansion, and the Ideal Gas Law
Chapter 18 – Kinetic Theory of Gases
  Q10: How to quantify uncertainty in a statistical system?
  Chapter 19 – Heat and the First Law of Thermodynamics
Chapter 20 –Second Law of Thermodynamics 
   
   
 
 
 

Syllabus (Fall, 2013) 

Week 1
     Sep 17 (Tue) L1: Course introduction
     Sep 19 (Thu) 中秋節
 
Week 2
     Sep 24 (Tue) L2: What is time? 
     Sep 26 (Thu) L3: Lorentz transformation 
 
Week 3
     Oct 1 (Tue) L4: How to descibe a dynamical system?
     Oct 3 (Thu) L5: Newton’s second law
 
Week 4
     Oct 8 (Tue) L6: Simple harmonic motion
     Oct 10 (Thu) National Celebration
 
Week 5
     Oct 15 (Tue) L7: Why do forces appear in pairs?
     Oct 17 (Thu) L8: Center of mass
 
Week 6
     Oct 20 (Sun) Midterm (Q1-Q3)
     Oct 22 (Tue) L9: Midterm Explanation
     Oct 24 (Thu) In-class Discussion
 
Week 7
     Oct 29 (Tue) L10: Is energy always conserved?
     Oct 31 (Thu) L11: Conservative force and potential energy
 
Week 8
     Nov 5 (Tue) L12: Energy, energy, energy
     Nov 7 (Thu) L13: How does a rotating top maintain its balance? 
 
Week 9
     Nov 12 (Tue) L14: Moment of inertia
     Nov 14 (Thu) L15: Coriolis effect

Week 10
     Nov 19 (Tue) L16: Are black holes black?
     Nov 21 (Thu) L17: Gravity and spacetime curvature    

 Week 11
     
Nov 26 (Tue) L18: Is pressure in liquids a scaler, a vector or a tensor?
     Nov 28 (Thu) L19: Hagen-Poiseuille equation

  

Week 12
     Dec 1 (Sun) Midterm (Q4-Q7)
     Dec 3 (Tue) L20: Midterm Explanation
     Dec 5 (Thu) L21: What is propagating in traveling waves?

 Week 13
     Dec 10 (Tue) L22: Wave equation
     Dec 12 (Thu) L23: Wave equation 2
  
Week 14
       Dec 17 (Tue) L24: Sound waves  
     Dec 19 (Thu) L25: How is thermal equilibrium reached?
   
Week 15
     
Dec 24 (Tue) L26: Heat and the first law of thermodynamics
     Dec 26 (Thu) L27: Heat and the first law of thermodynamics 2
 
Week 16
    Dec 31 (Tue) L28: How to quantify uncertainty in a statistical system? 
    Jan 2 (Thu) L29: Entropy and the second law of thermodynamics
 
Week 17
     Jan 7 (Tue) L30: Entropy and the second law of thermodynamics 2 
     Jan 9 (Thu) Video: The race for absolute zero 
 
Week 18(Final Week)
     Jan 12 (Sun) Final (Q8-Q10)
 
 
 

10201 自然科學
常微分方程一
許世壁 教授
清大數學系重量級教授退休前的最後一堂課,讓許世璧教授以嚴謹仔細的教學,讓你從源頭開始輕鬆理解ODE!沒上過許世璧教授的課,別說你懂常微分方程!體驗經典,就是現在!Want to understand ODE? Now, no longer hesitate, take the last chance to see how NTHU math titan, Prof. Sze-Bi Hsu copes well with this quite complicated subjects.
 
 
課程說明
        Course Description 
本課程著重於常微分方程之定性理論,預備知識需高等微積分及線性代數. 
本課程提供三學分的常微分方程基本理論,為研究生之標準課程
This course focuses on the qualitative theory of ordinary differential equation, and preparatory knowledge of advanced calculus and Linear algebra. This course offers 3 credits of basic theory of ordinary differential equation, which is the standard course for graduates. 
 

指定用書
       
Textbooks
Sze-Bi Hsu: Ordinary Differential Equations with Applications.
   World Scientific, 2013, 2nd edition 
 
 
參考書籍
       
References
 
Jack Hale: Ordinary Equations 
 Jack Hale and Kocak: Dynamics and bifurcations 
 
 
教學方式
       
Teaching Method
 
 演講及計算

Lecture and calculation

 
教學進度
       
Syllabus
1.  Fundamental Theory of ODE: Existence: Uniqueness of System of ODE, Continuously 
  dependence on parameter and initial conditions, Differential Inequality
2. Linear system : Linear systems with constant coefficients and Periodic Linear Systems, 
  Louiville Formula, Two-Dimensional Phase plane analysis, 
3. Stability of Nonlinear Systems: Linearization, Variation of Constant Formula,. Stable and 
  unstable manifolds, Orbital stability. 

 

10201 工程
光電工程導論
黃承彬 教授
想要在新興能源範疇中領先群雄?想要在光電工程領域裡大放異彩?你的機會就在NTHU OCW 的光電工程導論中!【幽默風趣的課程內容】【獨樹一格的切入觀點】【別出心裁的教材編排】文質彬彬的黃承彬教授要引領您體驗最不一樣的光電工程! 彬彬光電,優質教學!想在在光電領域搶得先機,就是現在! Would you like to take the lead in rising energy filed? Would you like to show your talents in optoelectronics filed? Your opportunity is in the introduction to Optoelectronic Engineering at NTHU OCW.! Interesting contents, unique perspectives, and creative teaching materials—Dr. Huang, Cheng-Pin will lead you to experience the most special optoelectronics! If you want to seize the initiative, now is the time!

 

課程概述
  Course Description
      本課程的首要目的,在於讓同學們能夠領略生活中隨處可見的光學現象背後的原理,並且了解人類如何能夠運用電訊號來控制光的特性。本課程將以波動光學做為出發,讓同學了解電磁波的傳遞特性,並清楚了解散射、干涉、以及繞射等三種光學特性。
      本課程之第二部份,將詳細闡述電磁波的偏振特性,從而延伸至第三部份將介紹的功能性光電元件的工作與設計原理。 
          The main purpose of this course is to make students learn the background theory of photoelectric phenomenon everywhere in our daily life and how human use electric signal to control the light. This course will start with wave optics to understand the transfer characteristic of electromagnetic radiation, and clearly learn scattering, interference, and diffraction.
        The second part of this course will elaborate detailed polarization characteristics, and extend to the third part—to introduce the function and design theory of functional optoelectronic devices.
 
 
先修課程 
  Prerequisites
微積分一與二、工程數學、電磁學
 
Calculus (I)(II), Engineering Mathematics, Electromagnetism 
 
 
指定用書
       Textbooks
Jenkins and White, Fundamentals of Optics, 4th ed,McGraw Hill (2001).
   Hecht, Optics, 4th ed., Addison Wesley (2001).
Yariv and Yeh, Optical Waves in Crystals, Wiley (1984)
Kasap, Optoelectronics and Photonics, Prentice Hall (2001)
   
 
 
 
授課大綱與形式
   Syllabus/Teaching Method 

♠ 本課程分為三個主題:幾何光學、偏振光學、常用光電元件。
  This course is separated into three topics: geometrical optics,  
  polarizing optics,common polarizing element
  
周 次 授     課    大    綱
Week1  基本電磁學 

Basic Electromagnetism
Week2 平面波傳遞: 反射與折射 

Plane Wave Transfer: Reflected & Refraction
  Week3 同調性與干涉 

Coherence & Interference
Week4 散射、繞射與輻射 

Scattering, Diffraction and Radiation
  Week5 色散基本概念 

The Fundamental Concept of Chromatic Dispersion
Week6 偏振態與Jones 表示法、雙折射 

Polarization and Jones  Notation, Birefringence
 Week7 雙折射、光學偏振元件 

Birefringence, Polarizing Element
Week8 調制器、光偵測器 

Demodulator, Light Detector
Week9 光偵測器、雷射與光放大器

Light Detector, Laser and Light Amplifier
   
   
10102 工程
線性代數
趙啟超 教授

向量可以形成向量空間,在你腦袋裡卻只能是一片空白?線性方程組看似簡單但就是怎麼也解不出來?你的線性代數需要急救了嗎?不要慌張!不要害怕!讓超強線代急救員來幫助你!讓趙啟超教授拯救你的線代分數,面對考試超淡定!Does vectors forms the vector space, but leaves an empty space in your brain? No longer worrying your math exams, let Professor Chao, the best first aider, saves your Linear Algebra.

 

  

【先修課程】
        Prerequisite

Calculus.

 

 

【課程說明】
 Course Description

 This course gives an introduction to the essentials of linear algebra. 
  There will be four one-hour lectures per week.

 

 

【指定用書】
    
Text Books

G. Strang, Introduction to Linear Algebra, 4th ed. Wellesley, 

Introduction to Linear Algebra, 4th ed. Wellesley, MA: Wellesley-Cambridge Press, 2009.
   

 

 
【參考書籍】
 
    References

G. Strang, Linear Algebra and Its Applications, 4th ed. Belmont,
  CA: Thomson, Brooks/Cole, 2006. 
 S. H. Friedberg, A. J. Insel, and L. E. Spence, Linear Algebra, 

4th ed.;Upper Saddle River, NJ: Prentice Hall, 2003.
 L. E. Spence, A. J. Insel, and S. H. Friedberg, Elementary Linear Algebra: 

A Matrix Approach, 2nd ed. Upper Saddle River, NJ: Prentice Hall, 2008. 
 S. J. Leon, Linear Algebra with Applications, 8th ed. Upper Saddle River, 

NJ: Prentice Hall, 2010.
   
   

 

 

【課程內容】
        Course Contents

 linear equations 
 Vector spaces and subspaces
 Orthogonality 
 Determinants 
 Eigenvalues and eigenvectors 
 Linear transformations 
 Complex vectors and matrices 
 趙啟超教授2010 - 2013年題庫練習專區

       Dr.Chi-Chao Chao's 2010-2013 Question Bank Practice
   


 

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