課程列表: 自然科學學群

10201 自然科學

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。

Sze-Bi Hsu: Ordinary Differential Equations with Applications. World Scientific,
2013, 2nd edition

Jack Hale: Ordinary Equations
Jack Hale and Kocak: Dynamics and bifurcations

演講及計算.

 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.

六、成績考核(Evaluation)
Homework: 30%
Mid term :30%
Final Exam.: 40%

10201 自然科學

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 describe a dynamical system?
Oct 3 (Thu) L5: Newton’s second law

Week 4
Oct 8 (Tue) L6: Simple harmonic motion
Oct 10 (Thu) 國慶日

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: 期中考講解
Oct 24 (Thu) 課堂討論

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 scalar,
a vector or a tensor?
Nov 28 (Thu) L19: Hagen-Poiseuille equation

Week 12
Dec 1 (Sun) midterm (Q4-Q7)
Dec 3 (Tue) L20: 期中考講解
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)

10101 自然科學

一、課程說明(Course Description)
認知神經科學（Cognitive Neuroscience ）是一門新興的研究領域，主要是探索腦與心智（Brain and Mind）的關連性。從感覺與知覺（Sensation and Perception）、學習與記憶（Learning and Memory）、注意力與情緒（Attention and Emotion）、同理與 厭 惡（Empathy and Disguise）、決策與執行（Decision-making and Execution 、乃至意識（Consciousness）的產生，都是認知神經科學的範疇。    瞭解這些認知行為背後的神經科學不僅是本世紀最重要的一項科學探索，也與每個人的有密切的關係。例如：神經經濟學（Neuroeconomics）與消費者行為及市場調查有關，退化性神經疾病（Neurodegenerative disorders）與老年失智症有關。    在本課程中，我們將依序探討認知神經科學中的主要課題，重點在於介紹最新的研究發展，並討論這些科學發現對個人及社會的衝擊。本課程將以科學人雜誌過去九年所發表有關認知神經科學的文章為主，並以影片及期刊論文為輔，使無心理學或生物學背景的學生亦可學習此一課程。

Cognitive Neuroscience: The Biology of the Mind (Third Edition) by Michael S. Gazzaniga, Richard B. Ivry, and George R. Mangun (2008, W. W. Norton & Company)

10002 自然科學

Thermal Physics (second edition, 1980) by Kittel and Kroemer.

General Physics:
Temperature, entropy and heat.
Bolzmann distribution.
Stationary states (energy levels) in quantum physics.
Applied Math:
Partial differentiation.
Probability theory.

Mondays (10:10-11:30)
Wednesdays (08:30-09:50)

Week 1
Feb 20 (Mon) L1: heat engine (Chap 8)
Feb 22 (Wed) L2: Carnot cycle (Chap 8)

Week 2
Feb 27 (Mon) 彈性放假
Feb 29 (Wed) L3: the second law (Chap 8)

Week 3
Mar 5 (Mon) L4: work in different forms (Chap 8)
Mar 7 (Wed) L5: Gibbs free energy (Chap 9)

Week 4
Mar 12 (Mon) L6: Clausius-Claperon equation (Chap 10)
Mar 14 (Wed) L7: van der Waals equation of state (Chap 10)

Week 5
Mar 19 (Mon) L8: ferromagnetism (Chap 10)
Mar 21 (Wed) L9: Landau theory of phase transition (Chap 10)

Week 6
Mar 26 (Mon) 1st midterm (Chap 8-10)
Mar 28 (Wed) L10: 期中考卷檢討

Week 7
Apr 2 (Mon) 校際活動週
Apr 4 (Wed) 民族掃墓節

Week 8
Apr 9 (Mon) L11: solubility gap in binary mixtures (Chap 11)
Apr 11 (Wed) L12: liquid/solid mixture (Chap 11)

Week 9
Apr 16 (Mon) (BBC video) quest for absolute zero (Chap 12)
Apr 18 (Wed) L13: Joule-Thomson effect (Chap 12)

Week 10
Apr 23 (Mon) L14: electrons and holes (Chap 13)
Apr 25 (Wed) L15: n-type and p-type semiconductors (Chap 13)

Week 11
Apr 30 (Mon) L16: p-n junction (Chap 13)
May 2 (Wed) L17: non-equilibrium semiconductors (Chap 13)

Week 12
May 7 (Mon) 2nd midterm (Chap 11-13)
May 9 (Wed) L18: 期中考卷檢討

Week 13
May 14 (Mon) L19: kinetic theory for ideal gas (Chap 14)
May 16 (Wed) L20: Fick’s law for diffusion (Chap 14)

Week 14

May 21 (Mon) L21: law of rarefied gases (Chap 14)
May 23 (Wed) L22: Boltzmann transport equation 1 (Chap 14)

Week 15
May 28 (Mon) L23: Boltzmann transport equation 2 (Chap 14)
May 30 (Wed) L24: Einstein relation in Brownian motion (Chap 14)

Week 16
Jun 4 (Mon) L25: Fokker-Plank equation 1
Jun 6 (Wed) L26: Fokker-Plank equation 2

Week 17
Jun 11 (Mon) L27: Navier-Stokes equation
Jun 13 (Wed) L28: quantum transport

Week 18 (Final Week)
Jun 18 (Mon) final (Chap 14-15)

10001 自然科學

Chemistry －－ Steven S. Zumdahl and Susan A. Zumdahl, 8th edition

Chemical Principles －－ Steven S. Zhumdahl, 6th edition

1. 以 Power Point 講解並用黑板輔助說明
2. 每章會指定習題做練習, 解答將會公佈於數位學習系統 (e-learning)
3. Office hour: 3:30~5:00 PM Tuesdays, Chemistry building R402
4. 考試前將安排時間由助教做習題講解

1. Introduction to the Study of Chemistry
2. The Components of Matter - Nomenclature of Chemical Compounds
3. Stoichiometry of Formulas and equations
4. Types of Chemical Reactions
5. Gases and the Kinetic-Molecular Theory
6. Thermochemistry
7. Atomic Structure and Periodicity
8. Bonding：General Concepts
9. Covalent Bonding：Orbitals
10. Liquids and Solids
11. Properties of Solutions

1. Attendance is required; quiz (10%), two midterms (1st 25%, 2nd 30%) and final (35%)
2. Test schedule(暫定)：midterm I on 10/21/11 (Fri), midterm II on 11/25/11 (Fri), and final
on 1/11/12 (Wed)

10001 自然科學

Thermal Physics (second edition, 1980) by Kittel and Kroemer.

General Physics: Temperature, entropy and heat. Bolzmann distribution. Stationary states (energy levels) in quantum physics.
Applied Math: Partial differentiation. Probability theory.

Mondays (10:10-11:30)
Wednesdays (08:30-09:50)

Week 1
Sep 12 (Mon) 中秋節

Sep 14 (Wed) L1: multiplicity (Chap 1)

Week 2
Sep 19 (Mon) L2: binary model system (Chap 1)
Sep 21 (Wed) L3: sharpness of multiplicity function (Chap 1)

Week 3
Sep 26 (Mon) L4: most probable configuration (Chap 2)
Sep 28 (Wed) 教師節

Week 4
Oct 3 (Mon) L5: temperature (Chap 2)
Oct 5 (Wed) L6: entropy (Chap 2)

Week 5
Oct 10 (Mon) 國慶日
Oct 12 (Wed) L7: Boltzmann factor (Chap 3)

Week 6
Oct 17 (Mon) L8: partition function (Chap 3)
Oct 19 (Wed) L9: Helmholtz free energy (Chap 3)

Week 7
Oct 24 (Mon) L10: Sackur-Tetrode equation (Chap 3)
Oct 26 (Wed) 1st midterm (Chap 1-3)

Week 8
Oct 31 (Mon) 發考卷與檢討考卷
Nov 2 (Wed) L11: Planck radiation law (Chap 4)

Week 9
Nov 7 (Mon) L12: electrical noise (Chap 4)
Nov 9 (Wed) L13: phonon and Debye theory (Chap 4)

Week 10
Nov 14 (Mon) L14: chemical potential (Chap 5)
Nov 16 (Wed) 全校運動會停課

Week 11
Nov 21 (Mon) L15: chemical potential, again (Chap 5)
Nov 23 (Wed) L16: thermodynamic relations and identities (Chap 5)

Week 12
Nov 28 (Mon) L17: Gibbs sum (Chap 5)
Nov 30 (Wed) 2nd midterm (Chap 4-5)

Week 13
Dec 5 (Mon) 發考卷與檢討考卷
Dec 7 (Wed) L18: quantum statistics (Chap 6)

Week 14
Dec 12 (Mon) L19: Fermi and Bose functions (Chap 6, page 152-160)
Dec 14 (Wed) L20: ideal gas in classical limit (Chap 6, page 160-171)

Week 15
Dec 19 (Mon) L21: thermal processes for ideal gas (Chap 6)
Dec 21 (Wed) L22: Fermi gas (Chap 7)

Week 16
Dec 26 (Mon) L23: metal, white dwarf star and nuclear matter (Chap 7)
Dec 28 (Wed) L24: Bose-Einstein condensation 1 (Chap 7)

Week 17
Jan 2 (Mon) L25: Bose-Einstein condensation 2 (Chap 7)
Jan 4 (Wed) L26: superfluidity in Helium (Chap 7)

Week 18 (Final Week)
Jan 11 (Wed) final (Chap6-7)

10001 自然科學

Course outline
The course will be given on the basis of 3 hours a week (Tuesday, 10~12 AM and Thursday, 11~12 AM) in 綜合三館 room 203. The materials for teaching will be regularly posted on the course website (http://www.stat.nthu.edu.tw/~swcheng/Teaching/math2810/).

This course introduces students to useful and interesting ideas of the mathematical theory of probability, and to a number of applications of probability to a variety of fields including genetics, economics, geology, business, and engineering. The theory developed together with other mathematical tools such as combinatorics and calculus are applied to everyday problems. Concepts, calculations, and derivations are emphasized. Topics include the basic results and methods of both discrete and continuous probability theory: conditional probability, independent events, random variables, jointly distributed random variables, expectation, variance, covariance, and limit theorems.

Textbook

Ross, S. (2009), A First Course in Probability, 8th edition, Pearson Prentice Hall.

References

1. Ross, S. and Pekoz E. (2007), A Second Course in Probability, ProbabilityBookstore.com.
2. Feller, W. (1967), An Introduction to Probability Theory and Its Applications, Volume I, 3rd edition, John Wiley & Sons.
3. Feller, W. (1971), An Introduction to Probability Theory and Its Applications, Volume II, 2nd edition, John Wiley & Sons.

Assignment

There will be weekly or bi-weekly assignments. You are free to discuss the assignment questions with your classmates, but you must write up your answers individually. You CANNOT turn answers in as a group or simply reproduce a classmate's write up. All homework must be handed in before the end of class on the day it is due.

Your grade will be determined by homework (30 %), a midterm (30 %), and a final exam (40 %).

Prerequisites

Knowledge of Calculus.

09902 自然科學

Week 1 : 生命的起源
主講者：李家維教授（分子與細胞生物研究所）
參考書籍：
我們是火星人？
生命的起源比你想得更簡單

Week 2 : 臍帶血與幹細胞
Week 3 : Why we age?
Week 4 : 基因改造食品
Week 5 : 基因療法基因檢測
Week 6 :全球流感防疫總動員
Week 7 : 癌症
Week 8 : 永保青春
Week 9 : 亦敵亦友：探索微生物的世界
Week 10 : 眼睛與人工視覺
Week 11 : 新藥免疫療法 發展治療哮喘與過敏的抗體藥物
Week 12 : 為什麼我要有生命科學知識呢?-生命科學知識對你的益處
Week 13 : 為什麼我要有生命科學知識呢?-動物的生殖策略與演化的關係

09902 自然科學

【指定參考】
1.中文教材：「普通物理實驗」，黃勝良、吳秀錦主編，國立清華大學出版社出版，93 年 9 月版。
2.實驗講義、講解簡報和參考資料見普物實驗網站：http://www.phys.nthu.edu.tw/~gplab和科普

3.英文教材：請自行從普物實驗室網站：http://www.phys.nthu.edu.tw/~gplab下載。

09902 自然科學

◆◆◆◆◆◆豪豬教授給學習普物同學的話◆◆◆◆◆◆◆◆◆◆◆◆

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。介紹學生瞭解這些問題，引導課堂上適度的討論，並輔以紮實而系統化的背景知識。希望開創雙向溝通的課堂，將傳統授課與課堂討論結合，讓學生藉由參與課程進行，窺見科學知識的前沿，並培養分析、解決問題的能力。
此段的開放式課程，是這項改革的第一步。希望在102學年，我們能夠以更成熟的方式，呈現完整的普物課程(上下學期各10個問題)，提供學生與教師另一個學習普通物理的途徑。

課程大綱
General Physics  (II) (Spring, 2011)
For updated information, please go to
http://hsiuhau.wikispaces.com/
Lecturer: Prof. Hsiu-Hau Lin
Textbook: Physics for Scientists and Engineers with Modern Physics (8th edition) by J. W. Jewett and R. A. Serway.
Ten Questions for General Physics II
(Spring, 2011)

Q1 (Week 2-3, Chap 23-24)
Why are most materials charge neutral?

Q2 (Week 4, Chap 25)
What causes lightning?

Q3 (Week 5, Chap 29)
How does the Earth’s magnetism arise?

Q4 (Week 6, Chap 30)
Can magnetic forces do work?

Q5 (Week 7-8, Chap 31, Chap34)
Why can light propagate in vacuum?

Week 9 Midterm on April 21, 2011

Q6 (Week 10-11, Chap 37-38)
What is the secret to appreciate impressionist paintings?

Q7 (Week 12-13, Chap 40)
What is the nature of light?

Q8 (Week 14-15, Chap 41-42)
Why are atoms stable?

Q9 (Week 16, Chap 43)
How can superconductors superconduct?

Q10 (Week 17, Chap 44)

How can we date fossils?

Week 18 Final on June 23, 2011