國立清華大學開放式課程OpenCourseWare(NTHU, OCW)

10901 自然科學影音線上播放

當代認知神經科學：腦與心智(遠距教學版 ing )

焦傳金教授

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的關連性。從感覺與知覺、學習與記憶、注意力與情緒、同理與厭惡、決策與執行、乃至意識的產生，都是認知神經科學的範疇。

【課程簡述】
Brief 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。

【教學進度】
Course schedule

Week	Topic Note
Week 1	♦ 腦與心智簡介簡介各週內容，暴力行為在腦中的運作模式
Week 2	♦ 感覺&知覺 I 視覺的錯視、視覺訊息的處理
Week 3	♦ 感覺&知覺 II 奧妙的色彩如何影響大腦認知
Week 4	♦ 感覺&知覺 III 原來我們聽到的可能不一樣、基因影響嗅覺辨識!
Week 5	♦ 學習&記憶感官、短期、長期，原來有不同的記憶形式
Week 6	♦ 睡眠&夢我可以都不睡覺嗎? 我為何需要睡覺?
Week 7	♦ 報償&成癮為何毒品這麼難戒除，成癮對腦造成的傷害
Week 8	♦ 溝通&語言動物們如何溝通，為何電子書無法取代紙本?
Week 9	♠♠♠♠♠全校運動會停課 YA! ♠♠♠♠♠♠♠♠♠♠♠♠♠♠
Week 10	♦ 理性&感性動物也會難過，不同情緒由不同腦區控制
Week 11	♦ 選擇&決策如何做出選擇，究竟你在選什麼?
Week 12	♦ 同理心網路和面對面的霸凌有何不同，你懂我的痛嗎?
Week 13	♦ 智力&創造力天才從何而來? 創意如何產生?
Week 14	♦ 發育&可塑性嬰兒天生會做哪些事?學前教育可以如何進行
Week 15	♦ 老化&疾病如何優雅的老化，能阻止大腦變老嗎?
Week 16	♦ 腦科學&科技&社會男、女頭腦大不同?
Week 17	♦ 意識&自由意志植物人有意識嗎?
Week 18	♦ 期末考週繳交期末報告

【溫馨小提醒】

Warm reminder

♠	本課程同時採用實體上課與同步遠距教學 ♠
♠	Grading policy:
	課堂參與：40% (每堂課結束後需將課程心得與自我經驗分享上傳至社群軟體 fb、ig)
	課堂小考：30% (每個段落皆有課堂小考，以 slido 進行)
	期末報告：30% (一份 3 頁 A4 的課程主題延伸報告)
	課前後總結問卷（加分）：5%
♠	課程要求
	1.攜帶行動載具（手機、平版、筆電）來上課
	2.下載 slido
	3.擁有任一社群軟體

10802 自然科學影音線上播放

細胞神經科學

焦傳金教授

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！

【課程概述】
Course Description
腦科學為21世紀最重要的研究領域，而神經科學即是腦科學的基礎。本課程屬於「神經科學微學程」四個核心課程（細胞神經科學、系統神經科學、認知神經科學及計算神經科學）的其中之一。在本課程中，我們將介紹神經細胞的基本構造與功能、神經訊號的產生與傳遞、神經細胞間的溝通與塑性、神經細胞的發育與改變、神經系統的退化與再生。藉由重要觀念的解說與實驗數據的分析，本課程期望所有修習的學生都能對神經細胞的特性有充分的瞭解，做為探索腦功能的重要基礎。

Brain science is the most important research area in 21st century and cellular neuroscience is the basis of brain science. This course is one of the core courses of neuroscience micro interdisciplinary program (which contains cellular neuroscience, systems neuroscience, cognitive neuroscience and computational neuroscience). In this course, we are going to introduce the basic structures and functions of nerve cells, the generations and transmissions of neural signals, the communication and neuroplasticity between nerve cells, development and changes of nerve cells, nerve degeneration and regeneration. With the explanation of important concepts and the analysis of experimental data, we expect the students to have a full understanding of nerve cells’ characteristics so as to become an important basis for exploring brain functions.

【先修課程】

Prerequisites

♠	具備生物學基本概念即可！
	Basic biological concepts!

【指定用書】

Text Books

♠	Eric R. Kandel, James H. Schwartz, Thomas M. Jessell, Steven A.
	Siegelbaum and A. J. Hudspeth, Principles of Neural Science, 5th Ed., 2012
♠	特別感謝書商麥格羅﹒希爾(McGraw-Hill)
	提供書籍圖片授權以俾進行影片製作，以下為此書籍之連結資訊！

【參考資料】

References

♠	Dale Purves, George J. Augustine, David Fitzpatrick and William C.
	Hall,Neuroscience, 5th Ed., 2011
♠	Larry Squire, Darwin Berg, Floyd E. Bloom and Sascha du Lac,
	Fundamental Neuroscience,4th Ed., 2012
♠	John G. Nicholls, A. Robert Martin, Paul A. Fuchs and David A. Brown,
	From Neuron to Brain,5th Ed., 2011

【授課大綱】

Syllabus

♠ Week 1	Fundamental properties of neurons
♠ Week 2.	Transmission of neural signals
♠ Week 3	Synaptic transmission: mechanisms
♠ Week 4.	Synaptic transmission: neurotransmitters
♠ Week 5.	Synaptic transmission: plasticity
♠ Week 6	Development of neurons
♠ Week 7	Development of synapses
♠ Week 8	Degeneration and regeneration of neurons

10802 自然科學影音線上播放

系統神經科學

焦傳金教授

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！

【課程概述】
Course Description
腦科學為21世紀最重要的研究領域，而神經科學即是腦科學的基礎。在本課程中，我們將介紹神經網絡的結構與功能，這是介於細胞神經科學與認知神經科學的重要基礎課程。本課程內容特別專注於探討感覺神經系統與運動神經系統。藉由重要觀念的解說與實驗數據的分析，本課程期望所有修習的學生都能瞭解神經系統運作方式的基本法則。
Brain science is the most important research area in 21st century and cellular neuroscience is the basis of brain science. In this course, we are going to introduce the structures and functions of neural network which is a basic but important course in between cellular neuroscience and cognitive neuroscience. This course will be specifically focusing on the sensory nervous system and motor nervous system. With the explanation of important concepts and the analysis of experimental data, we expect the students to understand the basic rules of how the nervous system operates.

【先修課程】

Prerequisites

♠	具備生物學基本概念即可！
	Basic biological concepts!

【指定用書】

Text Books

♠	Eric R. Kandel, James H. Schwartz, Thomas M. Jessell, Steven A.
	Siegelbaum and A. J. Hudspeth, Principles of Neural Science, 5th Ed., 2012
♠	特別感謝書商麥格羅﹒希爾(McGraw-Hill)
	提供書籍圖片授權以俾進行影片製作，以下為此書籍之連結資訊！

【參考資料】

References

♠	Dale Purves, George J. Augustine, David Fitzpatrick and William C.
	Hall,Neuroscience, 5th Ed., 2011
♠	Larry Squire, Darwin Berg, Floyd E. Bloom and Sascha du Lac,
	Fundamental Neuroscience,4th Ed., 2012
♠	John G. Nicholls, A. Robert Martin, Paul A. Fuchs and David A. Brown,
	From Neuron to Brain,5th Ed., 2011

【授課大綱】

Syllabus

♠ Week 1	Organization of the nervous systems
♠ Week 2.	Sensation and perception: touch and pain
♠ Week 3	Sensation and perception: vision I
♠ Week 4.	Sensation and perception: vision II
♠ Week 5.	Sensation and perception: audition, olfaction, and gustation
♠ Week 6	Movement and action: peripheral mechanisms
♠ Week 7	Movement and action: central control
♠ Week 8	Movement and action: coordination and planning

10802 自然科學影音線上播放

感覺與知覺

焦傳金教授

跟著金導遊探索「感覺與知覺」，將以感覺系統搭配淺顯易懂的文字剖析您的感覺與知覺！這個問題，就讓清大的焦傳金教授回答你！想要抓住「感覺」，更要了解「知覺」的關係！

【課程簡介】
Brief course description
「感覺與知覺」是一門神經科學的基礎課程，目的是將感覺系統的運作方式用淺顯易懂的方式介紹給大家。在這六周的課程中，每週將會有12的單元，每個單元約5分鐘影片，藉由回答許多與生活相關的有趣問題，各位將能學習到最新的腦科學新知，讓我們在與這個世界進行感官互動時，可以增添一份知識性。

課程目標！

This is a basic course in neuroscience. The goal is to introduce you to how the sensory system works in a clear and easy to understanding way. In this six-week course, there will be 12 units per week, each unit will have a 5 minutes video. By answering many interesting questions related to daily life, you can learn the latest brain science knowledge. Let us add a bit of knowledge while sensory interacting with the world.

【課程目標】
Course objectives
本課程中將以神經科學領域中的感官系統為基礎，循序漸進介紹人類的感覺與知覺，包括視覺、聽覺、觸覺、嗅覺、味覺等。這些感覺系統是人類接受外界訊息的媒介，除了影響我們的理性與思考，也會觸動我們的情緒與記憶，因此是一般社會大眾會有興趣的科普知識，也很容易引起多數人的關心。本課程的目標是以生動的文字、圖片及影片引發大眾的好奇心，並以淺顯方式將艱澀的神經科學知識轉化成一般人均可理解的切身經驗，在體驗與感受的過程中輕鬆學習科普常識，並將這些知識應用於日常生活中。 In this course, based on the sensory system in the field of neuroscience, we will gradually introduce human sensations and perceptions including the sense of sight, hearing, touch, smell and taste. These sensory systems are the medium of human receiving external information which not only influence our rational and thinking, but also our emotions and memories. Therefore, it is a popular science knowledge that the general public will be interested in and can easily arouse most people’s concerns. The course objective is to trigger public curiosity with vivid text, pictures and videos. And transform difficult neuroscience knowledge into personal experience in a simple way that can be understood by everyone. Let us learn the popular and common science knowledge through experiences and feelings and apply this knowledge to daily life.

【課程進度】
schedule

Week 1. 視覺一（靈魂之窗）

Week 2. 視覺二（影像腦中尋）

Week 3. 聽覺（原音重現）

Week 4. 觸覺（肌膚之親）

Week 5. 冷熱覺與痛覺（不可承受之輕）

Week 6. 嗅覺與味覺（化學變化）

10802 自然科學影音線上播放

應用數學入門(遠距教學版)

林秀豪教授

Applied Mathematics is a two-semester course, emphasizing the basic mathematical training encountered in science and engineering.

課程簡述
Brief course description
Applied Mathematics is a two-semester course, emphasizing the basic mathematical training encountered in science and engineering. Facing the modern frontiers with brand-new challenges, the course contains the following key modules:

♠ It is important to maintain the balance between mathematical rigor and hands-on applications. Meanwhile, the last module (numerical methods) will be integrated into other modules to facilitate complementary usage of analytic and numeric techniques.

(1)	Complex Analysis
(2)	Partial Derivative
(3)	Linear Algebra
(4)	Quantum Operators
(5)	Fourier Transform
(6)	Vector calculus

課程大綱
Syllabus

♠ Syllabus for Applied Mathematics (2020)

Applied Mathematics is a two-semester course, emphasizing the basic mathematical training encountered in science and engineering. Facing the modern frontiers with brand-new challenges, the course contains the following key modules:

(1)	Preliminary
(2)	Partial differentiation
(3)	Matrices and vector spaces
(4)	Vector calculus
(5)	Ordinary differential equations
(6)	Integral transforms
(7)	Operators and special functions
(8)	Partial differential equations
(9)	Probability and statistics
(10)	Numerical methods

♠ It is important to maintain the balance between mathematical rigor and hands-on applications. Meanwhile, the last module (numerical methods) will be integrated nto other modules to facilitate complementary usage of analytic and numeric techniques.

Textbook

♠	Mathematical Methods for physics and engineering (3rd edition)
	by Riley, Hobson and Bence

♠ In the first semester, we will cover the following key modules subjected
to dynamical readjustments:

(1)	Preliminary (4 lectures) – chap 1,2,3,4
(2)	Partial differentiation (2 lectures) – chap 5
(3)	Matrices and vector spaces (8 lectures) – chap 7,8,9
(4)	Vector calculus (6 lectures) – chap 10,11
(5)	ntegral transforms (4 lectures) – chap 12,13
(6)	Ordinary differential equations (6 lectures)
	– chap 14,15,16

10602 自然科學影音線上播放

高等微積分二

高淑蓉教授

本課程以訓練嚴謹的邏輯推導、撰寫明確的證明、流利的口語表達為手段，追求如何思考、如何有效的學習為目標。

【課程簡述】

Brief course description

本課程以訓練嚴謹的邏輯推導、撰寫明確的證明、流利的口語表達為手段，追求如何思考、如何有效的學習為目標。

This course is based on teaching you how to think logically, how to prove clearly and

express yourself fluency.Also,how to think and how to learn effectively and the goals of this course.

【課程說明】

Course Description

本課程以訓練嚴謹的邏輯推導、撰寫明確的證明、流利的口語表達為手段，追求如何思考、如何有效的學習為目標。本課程內容探討歐幾里德空間的多變數函數之解析理論。本學期將介紹以下題材：

This course is based on teaching you how to think logically, how to prove clearly and express yourself fluency.Also,how to think and how to learn effectively and the goals of this course.The content of this course includes the analysis of the multivariable functions in Euclidean space. The following topics are introduced in this semester:

1.	Differentiable Mappings
2.	The Inverse and Implicit Function Theorems and Related Topics
3.	Integration
4.	Fubini's Theorem and The Change of Variables Formula
5.	Fourier Analysis

【指定用書】

Text Books

＊	J. E. Marsden and M. J. Hoffman, Elementary Classical Analysis,
	second edition.

【參考書籍】

References

＊	D. Widder, Advanced Calculus.
＊	T. Apostal, Advanced Calculus.

【教學方式/教學進度】

Teaching Method/Syllabus

黑板授課/循序漸進

Teaching with Blackboard / Step by step

10602 自然科學影音線上播放

幾何二

宋瓊珠教授

This is an introductory course on the theory of curves and surfaces in the three dimensional Euclidean space. After developing the theory of curves, we will study the geometry of a surface from both intrinsic and extrinsic point of view. Topics include first and second fundamental forms, various notions of curvature, and the famous Gauss-Bonnet theorem.

【課程簡述】

Brief course description

This is an introductory course on the theory of curves and surfaces in the three dimensional Euclidean space. After developing the theory of curves, we will study the geometry of a surface from both intrinsic and extrinsic point of view. Topics include first and second fundamental forms, various notions of curvature, and the famous Gauss-Bonnet theorem.

【課程說明】

Course Description

This is an introductory course on the theory of curves and surfaces in the three dimensional Euclidean space. After developing the theory of curves, we will study the geometry of a surface from both intrinsic and extrinsic point of view. Topics include first and second

fundamental forms, various notions of curvature, and the famous Gauss-Bonnet theorem.

* Prerequisites：

Successful completion of Linear Algebra and Advanced Calculus

【指定用書】

Text Books

*	Differential geometry of curves and surfaces, by Manfredo P. Do
	Carmo. Prentice Hall.

【參考書籍】

References

*	Elementary Differential Geometry, 2nd edition, A. Pressley, Springer, 2010.
*	Elementary Differential Geometry, 2nd Edition, by Barrett O'Nell.

【教學方式】

Teaching Method

Lectures. 講授，演習，討論.
www.math.nthu.edu.tw/~cjsung/course/ug2018s.html

10601 自然科學影音線上播放

普通物理

吳國安教授

人類對於周遭事物，如何隨時間與環境而變化，都充滿好奇心。我們要如何用物理學推敲出萬物的變化，或基於系統性的觀察而提出新的想法....

【課程說明 / Description of the course】
人類對於周遭事物，如何隨時間與環境而變化，都充滿好奇心。我們要如何用物理學推敲出萬物的變化，或基於系統性的觀察而提出新的想法，這就是普通物理(ㄧ)的課程目標。那要如何養成研究問題的邏輯與方法呢?本課程以牛頓提出的力學為例，除了學習力學定律之外，也鼓勵同學探討牛頓提出這些理論的原因，同時思考章節之間的關聯性，例如在牛頓的向量力學架構下，已經可以解釋物體的運動，為何還需學習新的能量概念等等。
課程內容涵蓋基礎牛頓力學、功與能量概念，在熟悉單粒子運動後，將建構簡單的多粒子系統（剛體）所遵守的物理規則（轉動運動），基於以上的物理知識，詳細探討日常生活中常見的物理現象，如重力、固體與流體、振盪、波動等。同時也將探討愛因斯坦為何會提出不同於牛頓力學的特殊相對論，以及在特殊相對論中架構下，為何在不同慣性座標系的觀察者們，對時間、空間的認知會有所不同。

We are all curious about how nature works. In order to better grasp the fundamental rules that govern our daily life experiences, this course – General Physics (I) – aims to develop students’ abilities in logical reasoning and scientific problem solving. How do we achieve that goal? For example, we will learn Newton’s laws of motion and gravity in this course. The physics of these laws are important, but how Newton and other scientists discovered (or what motivates them to discover) these laws are equally important as well. In addition, we will learn their logical reasoning processes and systematic approaches to tackle problems. Furthermore, it is crucial to make connections between physics topics and form your own understanding of each topics. For example, since Newton’s laws of motion are sufficient to solve mechanics problem, why do we need to introduce the concept of energy to solve the same mechanics problem.

This course will cover Newton's laws of motion and the concept of work & energy. After fully understand the motion of single particle, we then construct a simple many-particle system (Rigid Body), and explore the physical laws it follows (Rotational Motion). Based on the understanding of motion of single particle and many-particle systems, we will discuss the physical phenomena occurred in our daily life, such as gravity, solid & fluid, oscillations and waves. Moreover, we will talk about why Einstein proposed special relativity despite success of Newton’s laws of motion in classical mechanics. Within Einstein’s framework of special relativity, we will demonstrate why observers have different perspectives on time duration and spatial length in different inertial reference frames?

【課程教材 / Course Material】

*	物理學系吳國安教授教學投影片
	Lecture notes (PPT) from Dr. Wu,Kuo-An (Dept. of Physics)

【參考資料 / References】

1.	The Feynman Lectures on Physics
2.	"Physics", Volume1, by R.Resnick, D.Halliday, and K. S. Krane.
3.	"University Physics", 2nd revised edition by H. Benson.

【適用對象 / Suitable Users】

Who is this course for

*	對生活中的物理現象有好奇心者，敬邀您一同探索日常生活中物理的奧秘！
	This course is for people who have curiosity for anything or everything!

【教學方式 / Teaching Method】

How does this course work

*	課程共 13章節，每一章節包含數個單元。
	This course consists of 13 chapters; each chapter includes several segments.
*	每單元為10~15分鐘的教學影片，針對單一概念講解，透過例題熟悉單元重點。
	Each segment contains a 10-to-15-minitue video and focuses on a specific physics topic.
*	全程由授課教師精製之投影片，最佳化課程單元影片，提供融會貫通之學習效果。
	This course offers PPTs that are available for downloading.
*	著重物理定律背後的意義，及思索問題的邏輯性與一致性，在課堂外，希冀能思辨不同問題
	之間的共通性，舉一反三，解決問題。
	This course emphasizes the reasoning of physical laws and nurturing the logical reasoning
	ability, so that students can apply this training to solve problems outside the classroom.

【教學進度 / Schedule】
What do you expect to learn in this course

1.	動態系統與向量力學 Dynamical Systems & Vector Mechanics
	—從牛頓力學談起（向量力學）Starting from Newtonian Mechanics
2.	功與能Work & Energy
	— 純量的角度來思考牛頓定律 Understanding Motion from the Scalar Perspective
3.	位能與力學能守恆 Potential Energy & Conservation of Mechanical Energy
	—純量力學好簡單 Nothing is Simpler Than Scalar Mechanics
4.	線性動量 Linear Momentum
	—守恆量與物理問題的簡化 Conservation Laws and How do They Simplify Physical Problems
5.	多粒子系統 Many-particle System
	— 邁向真實世界的第一步 The First Step Towards The Real World
6.	剛體轉動 Rigid-body Rotation
	— 如何設計容易轉動的輪子 A possible new design for Wheels
7.	角動量 Angular Momentum
	— 如何設計容易轉動的輪子 A Possible New Design for Wheels
8.	重力與行星運動 Gravity & Planetary Motion
	— 不會砸落在牛頓頭上的月球（但是蘋果會） The Moon Doesnt Fall on Newtons Head, but Apples Do.
9.	固體與流體 Solid and Fluid
	— 巨觀的物理世界 The Macro-scopic Physical Word
10.	振盪 Oscillation
	— 彈簧振盪＊單擺運動＊金融市場有關係嗎？ Is There a Common Feature for Spring Oscillator, Pendulum and Financial Marker?
11.	波動(力學波) Waves (Mechanical Waves)
	—力學波的普世性 The Universality of Mechanical Waves.
12.	聲波 Sound Waves
	— Sound waves for dummies
13.	特殊相對論 Special Relativity
	— 站在月台上的你似乎瘦了？！ You look thin when standing on the platform?!

10601 自然科學影音線上播放

高等微積分（一）

高淑蓉教授

本課程著重訓練思考邏輯及解決問題的思維方式；培養聽說讀寫的能力，以奠定自學的能力。

【課程大綱】

著重訓練思考邏輯及解決問題的思維方式；培養聽說讀寫的能力，以奠定自學的能力。

【課程說明】

The Topology of Euclidean Space, Compact And Connected Sets, Contiinuous Mappings, Uniformly Convergence.

【指定用書】

Elementary Classical Analysis, 2nd Edition, by Jerrold E. Marsden, Michael J. Hoffman.*採購書籍可參閱此*

10601 自然科學影音線上播放

幾何一

宋瓊珠教授

This is an introductory course on the theory of curves and surfaces in the three dimensional Euclidean space. After developing the theory of curves, we will study the geometry of a surface from both intrinsic and extrinsic point of view. Topics include first and second fundamental forms, various notions of curvature, and the famous Gauss-Bonnet theorem.

【課程說明】

Course Description

This is an introductory course on the theory of curves and surfaces in the three dimensional Euclidean space. After developing the theory of curves, we will study the geometry of a surface from both intrinsic and extrinsic point of view. Topics include first and second fundamental forms, various notions of curvature, and the famous Gauss-Bonnet theorem.

* Prerequisites：

Successful completion of Linear Algebra and Advanced Calculus

【指定用書】

Text Books

*	Elementary Differential Geometry, 2nd edition, A. Pressley, Springer, 2010.
*	Differential geometry of curves and surfaces, by Manfredo P. Do Carmo.Prentice Hall, 1976.

【參考書籍】

References

*	Elementary Differential Geometry, 2nd Edition, by Barrett O'Nell.

【教學方式】

Teaching Method

*	Lectures、講授、演習、討論

自然科學學群