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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？NTHU Prof. Yuan Chang’s warm and moving tone is like a writing brush full of ink. He tells history stories in an elegant and interesting way as if he paints in students’ brain as canvas. His drawing describes people’s love and affections livelily in Jin Dynasties, and tells the feelings and emotions fading into the flow of history.
【課程介紹】
Course Description
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。
"Zizhi Tongjian" is a classic masterpiece. Reading this masterpiece is like reading any other classics. How should we read a classic work? In the book " Errata: An Examined Life," George Steiner mentioned, “When we read the classics, they would ask us, ‘Do you understand yet?‘ ’Are you responsible to re-imagine yet?’ ‘As the various issues I raised and all the richer potential after transformation, are you ready to take action based on it?’”(p. 22) This is perhaps the goal and way by which we read classics. "Zizhi Tongjian" is naturally not an exception. The course focuses on “the Jin Dynasties.” We choose part of "Zizhi Tongjian," with the official history, or with Wang Fu-chih's "Theory of Reading Zizhi Tongjian," and also choose a little research of contemporary scholars to consist of reading materials. Each part of information has a title. The information is as simple as possible, and reading is as deep as possible. In a semester, the reading may not be much (probably cannot cover the entire syllabus), but I hope you develop a studying methods and habits with "deep reading and thinking".
This course requires students to think when reading materials, present their own opinions in class, and discuss. This course focuses on thinking traditional questions in history books. The old language will be translated into vernacular Chinese. After reading more, the ability to read ancient writing will be enhanced. As a Chinese poem goes, "Million miles of mountains and rivers on Tang’s land, Millennium souls of Jin’s Heroes." Bai-Hua Zhuan composed an article, Discussion of “Shih-Shuo-Hsin-Yu” and the beauty of Jin people. Both the poem and article emphasize the feature of Jin people. So even though the Western Jin was in the political chaos, and the Eastern Jin in the endless domestic argument, another scenery that can’t be seen in other eras still can be viewed. Reading "Zizhi Tongjian" is akin to time travel where you can imagine and view the past.
In the first 10 minutes of the class, there is a "prologue" to introduce an extra book which is not a history book nor fiction. In the book "Why Read the Classics" (Times published), when Calvino mentioned classics, he thought reading of classics and reading of modern works should be mutually backgrounds. He said, "This, then, is the reason why the greatest “yield” from reading the classics will be obtained by someone who knows how to alternate them with the proper dose of current affairs."(P. 7) "Prologue" is meant to deliver this thought. When reading this book, despite only a fragment, you can still see some wonderful stories and touching scene. As long as you try to understand every single word written by many recorders and writers and the concern they hold in their heart, the power of these stories and scenarios will develop and transform us. Our emotional accomplishment will be brought to a higher level. Let’s become good citizens who inherit excellent cultural tradition and shape the ideal society of tomorrow.
【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。 |
| "Zizhi Tongjian"、”Book of Jin”、”Shih-Shuo-Hsin-Yu”、 "Theory of Reading Zizhi | |
| | Tongjian," |
| ♠ | The books and papers related to "Zizhi Tongjian" in the library |
| |
【教學方式】
Teaching Methods
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。 | |
| Because this is not a lecture class but a discussion class, instead, students have to | |
| attend classes, review, and discuss. | |
【教學進度 】
Syllabus
Syllabus
【WeeK1】
《資治通鑑》是一本怎樣的書
Course Description：What Kind of Book is "Zizhi Tongjian"
【WeeK2】
晉武平吳 天下一統（一）
Emperor of Jin Defeated Wu, the World Was United I
1.羊祜王濬 乗積極準備
Yang Hu and Wang Jun actively prepared
2.賈充專權 女適太子
Jia Chong held the power, a woman served the prince
3.羊陸對峙 佳人佳話
Yang Hu and Lu Kang battled, nice people and words
【WeeK3】
晉武平吳 天下一統（二）
Emperor of Jin Defeated Wu, the World Was United II
4.范粲不言 亢志堅忍
Fan Tsan’s silence, will, and persistence
5.羊祜上疏 籲主伐吳
Yang Hu’s Letter to the Emperor, advise the king attack Wu
6.馬隆西討 平定涼州
Ma Lung attacked the west, conquered Liang Chou
7.姿貌魁偉 文武長才
Tough appearance, talent in both military and civil field
【WeeK4】
晉武平吳 天下一統（三）
Emperor of Jin Defeawted Wu, the World Was United III
8.武帝決定 大舉伐吳
Emperor of Jin decided to attack Wu.
9.并官務農 省事清心
Officers became a farmer, relaxed and free
10.一片降幡出石頭
A white flag hung on the castle.
【WeeK5】
侈汰無度 動亂不已（一）
Extravagance and Turmoil I
1.豪貴驕奢 風氣侈靡
Luxurious nobles, extravagant fad
2.分封子弟 並未之國 宗王出鎮 坐擁強兵
Coronate courtier, King of Tsung owned great military power
3.楊駿敗陣 賈后專朝 天理既絕 大亂將作
Yang Jun failed, Empress Jia led the empire, justice disappeared, the turmoil began
4.名教自然 將無同！
No difference between Confucianism and Taoism
【WeeK6】
侈汰無度 動亂不已（二）
侈汰無度 動亂不已（二）
Extravagance and Turmoil II
5.拓跋興起 西略諸國
Tuoba rose, attacked western countries
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
Qiang and Hu moved, Han invaded
7.賨李入蜀 蜀民大悅
Tou Lee entered Shu, Shu people were happy
8.驕者必敗 識者知之Pride goes before a fall, wise men know
【WeeK7】
中原板蕩 西晉覆亡（一）
中原板蕩 西晉覆亡（一）
Central Plain Chaos, Western Jin Doom I
1.四海鼎沸 胡族奮起
Four seas boiled, Hu rose
2.劉淵稱王 英傑為輔
Liu Yuan became a king, the talented assisted
3.羯人石勒 漸露頭角
Shi Le from Jie was coming
4.陳敏據有江東 英俊不附 顧榮輕揮羽扇 敵眾潰逃
Chen Min occupied the east of the river, handsome and independent, Ku Jung waved the feather fan, all enemies escaped
5.李雄稱帝 盜亦有道
Li Hsiung became a king, a robber also has his talent
【WeeK8】
期中測驗
期中測驗
Mid-term
【WeeK9】
中原板蕩 西晉覆亡（二）
中原板蕩 西晉覆亡（二）
Central Plain Chaos, Western Jin Doom II
6.清靜為政 江東歸心
Silent politics, the east of the river was back
7.石勒勢力 不斷增長
Shi Le’s power continued to grow
8.江左夷吾 正色新亭
Yi Wu from the east of the river, Pure color of Xin Ting
9.東夷不靖 慕容興起
East was not peaceful, Murong rose
10.石勒趨向 張賓獻策
Shi Le leaned, Zhang Bin provided a plan
【WeeK10】
中原板蕩 西晉覆亡（三）
中原板蕩 西晉覆亡（三）
Central Plain Chaos, Western Jin Doom III
11.受制於人 吳人恚怨
Controlled by others, Wu resented
12.擊楫渡江 誓復中原
Beat with paddles, swear to recover Central Plain
13.妄殘殘虐 宜其覆滅
Cruel torture, doom again
14.西晉一代 干寶總結
Western Jin, Gan Bao made it end
【WeeK11】
帝即位 祚延江東
Emperor Chaired, Blessing Extended to the East of the River
1.御床共坐 王導固辭
Emperor’s bed was shared, Wang Dao quit
2.刻碎之政 內亂不免
Bad policy, civil war was unavoidable
3.王敦舉兵 士人惶惑
Wang Dun attacked, scholars were anxious
4.廷尉山頭 蘇峻起事
Official controlled, Su Jun rose
5.温嶠陶侃 擊滅蘇峻
Wen Jiao and Tao Kan defeated Su Jun
6.聰敏恭勤 明毅善斷 窺窬之志 折翼而止
Intelligent diligent bright determined, secret will stopped
【WeeK12】
胡羯雄張 中原動盪（一）
Rise of Hu and Jie, Central Plain Turmoil I
1.越石孤忠 宜在褒恤
Yueh Shih was royal alone, worth compliment
2.遼東士民 不問華夷
Liaodong people did not know Central Plain
3.關中情勢 擾攘不安
The situation in Guanzhong was chaotic
4.隴上壯士 有陳安
Lungshang man, Chen An
5.救援洛陽 擒獲劉曜
Saved Loyang, arrested Liu Yao
6.掃平秦隴 石勒即位
Stuck Chinlung, Shi Le became a king
【WeeK13】
胡羯雄張 中原動盪（二）
Rise of Hu and Jie, Central Plain Turmoil II
7.國家禍根 宜早清除
The root of domestic disasters needed cleaning earlier
8.石勒去世 動亂即起
Shi Le passed away, the turmoil began
9.關山萬里 致忠朝廷
Thousands of miles of people were royal to the government
10.石趙君主 禮佛敬僧
King Shi Zhao respected Buddhism and monks
11.石虎父子 奢糜殘暴
King Shi Zhao respected Buddhism and monks
12.乃心宗國 得歸故里
Who royal to the country could go back to homeland
【WeeK14】
木猶如此 人何以堪（一）
木猶如此 人何以堪（一）
Wood was damaged, people suffered I
1.東晉兩宋 船山絜論
Jingzhou’s entrance was controlled by Huan Wen
2.荊州門戶 桓温當之
King of Shu was too proud, Huan Wen defeated him
3.蜀主驕淫 桓温克之
Who killing brothers and Father is cold-blooded
4.殺弟謀父 禽獸不如
Who killing brothers and Father is cold-blooded
5.危難當前 嚴肅對待 訴之情理 化解無形
Danger was coming, took it serious, through reasoning and attachment, solved it
【WeeK15】
木猶如此 人何以堪（二）
Wood was damaged, people suffered II
6.身處喪亂 何其難也
Led army into Central Plain as if no one there
7.揮軍入關 不渡灞水 捫蝨而談 旁若無人
If Chin people had been there, they would have known Fu Sheng was falsely incriminated.
8.秦人若在 當知苻生之多誣 東海王堅 能得英雄之為助
Wang Chien from East China Sea could get heroes help.
9.安石不出當如蒼生何
Anshi did not become a official, what could people do
10.思念愛子 鬢髮中白
Missed the beloved son, hair became white
【WeeK16】
木猶如此 人何以堪（三）
木猶如此 人何以堪（三）
Wood was damaged, people suffered III
11.用兵之道 豈在殺戮
Huan Wen attacked northward, not following Hsi Chao’s ide, stayed at Fangtou, defeated by Murong
12.桓温北伐 不從郗超之謀 枋頭徘徊 終為慕容所敗
The truth of history cannot be covered
13.史事之實 終不能沒
ang Meng’s idea was refuted by Sima Guang
14.王猛計謀 温公斥之
Huan Wen desired the crown, Wang and Hsieh resisted with whole effort
15.桓温顗覦大位 王謝全力扺制
Huan Wen desired the crown, Wang and Hsieh resisted with whole effort
【WeeK17】
世族門閥 日薄崦嵫（一）
世族門閥 日薄崦嵫（一）
aristocratism’s sun set I
1.苻堅寛弘 王猛精算
Fu Jian was generous, Wang Meng was cautious
2.桓郗凋零 盛勢不再 王謝風華 掌握大權
【WeeK18】
期末測驗
期末測驗
Final Term
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點閱次數：405652
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) |
【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
點閱次數：332852
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) |
點閱次數：288997
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
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點閱次數：654350
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.
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
References
| ♠ | |
| McGraw Hill, 1984. | |
| ♠ | |
教學方式
Teaching Method
演講及計算 Lecture and calculation
教學進度
Syllabus
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
點閱次數：291992
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 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)
Jan 12 (Sun) Final (Q8-Q10)
點閱次數：1050351
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.
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.
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
References
| ♠ | Jack Hale: Ordinary Equations |
| ♠ | Jack Hale and Kocak: Dynamics and bifurcations |
教學方式
Teaching Method
Teaching Method
| ♠ | 演講及計算 |
| ♠ | Lecture and calculation |
教學進度
Syllabus
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. |
點閱次數：408826
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
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
授課大綱與形式
Syllabus／Teaching Method
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 | |
點閱次數：302043
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
【課程內容】
Course Contents
| linear equations | |
| Vector spaces and subspaces | |
| ♠ | Orthogonality |
| ♠ | Determinants |
| ♠ | Eigenvalues and eigenvectors |
| ♠ | Linear transformations |
| ♠ | Complex vectors and matrices |
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【2010-2013題庫練習題專區】【第1-5講次學生筆記專區】
點閱次數：1692742
10102
工程
材料熱力學二
黃倉秀 教授
倉秀哥大愛無私地奉獻材料熱力學的講義， 幫助學弟妹有效率地學習。老師的講義已經整理好課堂上的內容，若是同學能自己動手記錄下課堂上的重點，配合老師的講義內容，相信更能事半功倍加深記憶。Professor Tsung-Shiew Huang lights up your road of learning Thermodynamics of Materials. Professor Huang’s lecture notes give you wings.
【課程介紹】
Course Description
本課程先複習熱力學三大定律及各種熱力學函數，例如熱容量,entropy,焓及自由能等，從統計熱力學解釋entropy之微觀意義;熱力學函數的基本數學;介紹熱力學之平衡觀念及單元系統的相轉變o再討論氣體的混合，討論理想與真實溶液之性質，雙元相圖與自由能之關係，化學反應之平衡觀念，特別以固態材料系統為對象，探討其化學反應及相轉變所需考量之熱力學觀念。
This course will review the three laws of thermodynamics and thermodynamic functions, such as heat capacity, entropy, enthalpy, free energy. And we will explain the microscopic meaning of entropy by statistical thermodynamics, the basic mathematics for derivation of some important thermodynamic equations, the concepts of thermodynamic equilibrium for the phase transition of unary system.Thermodynamics of gas phase mixing, properties of ideal and real solutions of condensed matter, the relationship between binary phase diagram and Gibbs free energy curves, and the concepts of reaction equilibrium will be explained.Thermodynamic concepts for phase transitionsand chemicalreaction are discussed.
【指定用書】
References
| ♠ | |
【參考書籍】
References
| ♠ | R.A. Swalin,"Thermodynamics of Solids", 2nd ed., 1972 |
| ♠ | R.T. DeHoff:"Thermodynamics in Materials Science", 1993 |
【教學方式】
Teaching Method
♠ 課堂講授,討論,考試Lecture, discussion, examination
【教學進度】
Syllabus
Syllabus
| 【第1週】 |
| Ch.1~8 Review of fundamental Thermodynamics(I): |
| 1.Scope of Materials Thermodynamics |
| 2.Laws of Thermodynamics |
| 3.Definitions of thermodynamic functions and some important parameters |
| 4.Variation of V, S, H, G as a function of T, P. |
| 【第2週】 |
| Ch.1~8 Review of fundamental Thermodynamics(II): |
| 1.Calculation of S, H, G and |
| 2.Application of Gibbs-Helmholtz Eq., Clapeyron Eq., Clausius-Clapeyron Eq |
| 3.G(T,P) for a single phase substance and two-phases equilibrium. |
| 【第4週】 |
| Ch.9 Behavior of solutions(I): |
| 1.Raoult’s law and Henry’s law |
| 2.Activity of a component in solution |
| 3.Gibbs-Duhem equation |
4.Relation between G and .gif){kind=small} of binary solution |
5.Relation between ai,and .gif){kind=small} ,GM |
| 6.Method of graphical determination of from GM |
| 【第5週】 |
| Ch.9 Behavior of solutions(II): |
| 1.Properties of ideal solution |
| 2.Nonideal solution |
| 3.Application of Gibbs-Duhem equation (1-2). |
| 【第6週】 |
| Ch.9 Behavior of solutions(III): |
| 1.Apllication of Gibbs-Duhem equation(3) |
| 2.Regular solution |
| 3.Non-regular solution |
| 【第7週】 |
| Ch.9 Behavior of solutions(IV): |
| 1.Quasi-chemical model of solutions |
| 2.Calculation examples. |
| 【第8週】 |
| Ch.10 Binary phase Diagrams and GM (XB) curves(I): |
| 1.GM (XB) curve of a homogeneous solution |
| 2. GM (XB) curve of a regular solution |
| 3.Citerior for phase stability in regular solution. |
| 【第9週】 |
| 1.Mid-term exam |
| 2. Ch.10 Binary phase Diagrams and GM (XB) curves(II): Standard states and two-phases equilibrium. |
| 【第10週】 |
| Ch.10 Binary phase Diagrams and GM (XB) curves(III): |
| 1.Isomorphous phase diagram |
| 2.Binary phase diagrams with liquid and solid exhibiting regular solution |
| 【第11週】 |
| Ch.10 Binary phase Diagrams and GM (XB) curves(IV): |
| 1.Eutectic phase diagrams |
| 2.Monotectic phase diagram |
| 3.Calculation examples. |
| 【第12週】 |
| Ch.11 Reactions involving gases(I): |
| 1.Reaction equilibrium in gas mixture and equilibrium constant |
| 2.Effect of temperature on Kp |
| 3.Effect of total pressure on Kp. |
| 【第13週】 |
| Ch.11 Reactions involving gases(II): |
| 1.Reaction equilibrium in SO2-SO3-O2 system |
| 2.To keep a constant pO2 through gas mixture of SO2/SO3, CO/CO2,H2/H2O. |
| 【第14週】 |
| Ch.11 Reactions involving gases(III): Calculation examples. |
| Ch.12 Reactions involving gases and pure condensed phases(I): |
| 1.Reaction equilibrium in a system containing pure condensed phases and gas phases. |
| 2.Variation of “Standard Gibbs free energy change” with T. |
| 【第15週】 |
| Ch.12 Reactions involving gases and pure condensed phases(II): |
| 1.Ellingham Diagrams |
| 2.Stability of metals and metal-oxides. |
| 【第16週】 |
| Ch.12 Reactions involving gases and pure condensed phases(III): |
| 1.Effect of phase transition |
| 2.Stability of oxides in H2/H2O gas mixtures |
| 3.Nomographic scale of H2/H2O |
| 【第17週】 |
| Ch.12 Reactions involving gases and pure condensed phases(IV): |
| 1.Stability of oxides in CO/CO2 gas mixtures |
| 2.Upper limit of (pCO/pCO2) at a fixed T |
| 3.Calculation examples. |
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點閱次數：726945