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:
| (1) | Complex Analysis |
| (2) | Partial Derivative |
| (3) | Linear Algebra |
| (4) | Quantum Operators |
| (5) | Fourier Transform |
| (6) | Vector calculus |
Syllabus
| (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 |
| ♠ | Mathematical Methods for physics and engineering (3rd edition) |
| by Riley, Hobson and Bence |
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 | |
1. Online judge labs (20%), 2. Two midterm exams (30%), 3. One final exam (30%), 4. Final project (20%). The textbook is S. Prata, C PRIMER PLUS. Printout lecture notes will be available.
| 1. | Online judge labs (20%) — every two weeks |
| 2. | Two midterm exams (30%) |
| 3. | One final exam (30%) |
| 4. | Final project (20%) |
| 1 | S. Prata, C PRIMER PLUS |
| 2 | Lecture notes |
| Previous Course Webpage | |
| https://lms.nthu.edu.tw/course/43461 |
.png)
10410講義1 11020程式設計1課程大綱 影片需重新下載可參閱此
Engineering Mathematics in this class is to teach how to solve differential equations, which are models in many engineering problems. This post-calculus mathematics is needed and used by today's scientists and engineers....
Course Description
Engineering Mathematics in this class is to teach how to solve differential equations, which are models in many engineering problems. This post-calculus mathematics is needed and used by today's scientists and engineers. It will cover the following topics:
| 1 | First order differential equations |
| 2 | Second order differential equations |
| 3 | Laplace transform |
| 4 | Series solutions for differential equations |
| 5 | Systems of differential equations |
| 6 | Fourier series |
| ♠ | |
| 5th edition,Thomson Brooks/Cole. |
| ♠ | Erwin Kreyszig, "Advanced Engineering Mathematics", 8th edition, Wiley. |
教學方式
| ♠ | Lecture with white boarding writing |
教學進度
| 1 | First order differential equations |
| 2 | Second order differential equations |
| 3 | Laplace transform |
| 4 | Series solutions for differential equations |
| 5 | Systems of differential equations |
| 6 | Fourier series |
| |
.png)
課程大綱
What do you expect to learn in this course
| 1 | Introduction Number systems and Conversion |
| 2 | Boolean Algebra |
| 3 | Boolean Algebra (Continued) |
| 4 | Application of Boolean Algebra Minterm and Maxterm Expansion |
| 5 | Karnaugh Maps |
| 6 | Quine-McClusky Method |
| 7 | Multi-Level Gate Circuits NAND and NOR Gates |
| 8 | Combinational Circuit Design and Simulation Using Gates |
| 9 | Multiplexers, Decoders, and Programmable Logic Devices |
| 10 | Flip-Flops |
| 11 | Registers and Counters |
| 12 | Analysis of Clocked Sequential Circuits |
| 13 | Derivation of State Graph and Table |
| 14 | Reduction of State Tables State Assignment16 |
指定用書
Textbook
| ♠ | Fundamentals of Logic Design (7th Edition International Edition) by Charles H. Roth, Jr. and Larry L. Kinney(CENGAGE Learning) 滄海圖書代理 |
| ISBN-10: 1133628486 ISBN-13: 9781133628484 |
This course is intended for junior undergraduates in computer science and engineering. In this course, we will introduce the basic concepts of semiconductor devices and applications. Some basic circuit theorems will be introduced as well...
| ♠ | Electronic Circuit analysis and Design X Ed. by Donald A. Neamen |
| ♠ | Electrical Engineering - Principles and Applications 4th Ed. |
| by Allan R. Hambley |
教學方式
| ♠ | 以講授為主,輔以白板說明 |
| The cousres are mainly based on lectures and supplemented by whiteboard explanations |
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！
課程說明
Description of the course
This course is about the principles of digital logic and its implementation in circuits and systems. Modern electronics/computer engineers should be able to effectively utilize millions or even billions of logic gates available from advanced semiconductor manufacturing process. Logic design is fundamental to such applications as computer, audio/video/graphics, wired/wireless communication. Some technology from this course will be useful in other courses. For example, finite state machine is essential in compiler design.
♠ We will cover the following topics ♠
| 1. | Introduction to computer circuits |
| 2. | Two level Combinational Logic |
| 3. | Multilevel Combinational Logic |
| 4. | Programmable Logic |
| 5. | Arithmetic Logic Circuits |
| 6. | Sequential Logic Design |
| 7. | Sequential Logic Case Studies |
| 8. | Finite State Machine Design |
| 9. | Finite State Machine Optimization |
| 10. | Computer Organization |
課程教材
Course Material
| ♠ | Logic and Computer Design Fundamentals, 4th ed Mano & Kime Prentice Hall |
教學方式
Teaching Method
| ♠ | Lecturing |
| ♠ | Home work |
| ♠ | Machine problem (Using Verilog Hardware Description Language and its Simulator) |
| ♠ | Quiz, Two Midterms and Final Exam |
This course introduces the basic concept of data representation and manipulation.
課程說明
Description of the course
This course introduces the basic concept of data representation and manipulation. We will teach how to solve problems efficiently and effectively by using proper and specific data structures, and organizing series of operations called algorithms to manipulate data to solve the problems. For instance, you will be ble to understand how to use link list and hash function to create block chains.
前導課程
prerequisite Course
| ♠ | C/C＋＋ Programming Language |
課程教材
Course Material
| ♠ | Fundamentals of Data Structures in C＋＋, E. Horowitz, S. Sahni, and D. Mehta, 2nd ed., 2006. |
參考教材
References
| ♠ | Introduction to Algorithms, 3rd ed., by Cormen et al. C＋＋ reference |
教學方式
Teaching Method
| ♠ | Online Lectures ＋ In class discussions |
教學進度
Schedule
| 1. | Basic Concepts |
| 2. | Arrays |
| 3. | Stacks and queues |
| 4. | linked lists |
| 5. | Trees |
| 6. | Graphs |
| 7. | Sorting |
| 8. | Hashing |
| 9. | Selected related topics |
工程數學為一切工程學科的基礎，提供解決工程問題的基本工具。Engineering mathematics is the foundation of all engineering disciplines and provides basic tools for solving engineering problems.
課程說明
Description of the course
工程數學為一切工程學科的基礎，提供解決工程問題的基本工具。預修科目為微積分。課程內容包括：
| (1) | 一階微分方程式 | (4) | 聯立微分方程式 | |
| (2) | 二階線性微分方程式 | (5) | 微分方程式級數解 | |
| (3) | 高階線性微分方程式 | (6) | 拉普拉斯轉換 |
課程教材
Course Material
| ♠ | Erwin Kreyszig, Advanced Engineering Mathematics, 10th edition, 2011, Wiley. |
參考教材
References
教學方式
Teaching Method
| ♠ | Lectures and labs. |
教學進度
Schedule
| 1. | First order differential equations |
| 2. | Second order differential equations |
| 3. | Systems of differential equations |
| 4. | Numerics for order differential equations |
| 5. | Series solutions for differential equations |
| 6. | Laplace transform |
| 7. | Fourier series |
This course is intended for 2nd-year undergraduates in the computer science and other engineering department. In this course, we focus on two main topics, electronics and circuits.
課程說明
Description of the course
This course is intended for 2nd-year undergraduates in the computer science and other engineering department. In this course, we focus on two main topics, electronics and circuits. To give students better understanding of the models and circuits of the electronics devices, we will introduce the basic concepts of electric circuits first. It starts from the definition of current, voltage, power and energy. Then it covers the basic circuit components including resister, capacitor, and inductor. We also discuss the basic circuit analysis, such as nodal analysis of resistive circuits, transients in electrical circuits and sinusoidal steady-state circuit behavior.
For electronics section, we will present the diode and MOS field-effect transistor. We will use simple models to describe these electronic devices and their I-V characteristics. Since the majority of electronic circuits today are designed as integrated circuits (ICs),we will discuss how to analyze and design the basic elements of integrated circuits with the emphasis on digital logic designs.
課程教材
Course Material
| ♠ | "Electrical Engineering - Principles and Applications",by Allan R. Hambley, 5th Edition. |
教學方式
Teaching Method
♠ Lecture and discussion.
教學進度
Schedule
| Chapter | 1 | Introduction |
| Chapter | 2 | Resistive Circuits |
| Chapter | 3 | Inductance and Capacitance |
| Chapter | 4 | Transients |
| Chapter | 5 | Steady-State Sinusoidal Analysis |
| Chapter | 6 | Frequency Plots, Bode Plots, and Resonance |
| Chapter | 10 | Diodes |
| Chapter | 12 | Field-Effect Transistors |
| Chapter | 11 | Amplifiers : Specifications and External Characteristics |
本課程擬從一個個體經濟概念開始，引領進入不同的應用領域。除了經濟，這門課打算 串接法律學、演化生物學、國際關係等許多學門，希望能幫助非財經本科學生理解經濟 觀念如何應用在多面向問題的分析上。 This course starts from the concept of microeconomics, and then goes further into various application fields. Besides economics, subjects such as law, evolutionary biology, international relationship are discussed together to help students who do not master in economics understand how to analyze multifaceted problems with concepts of economics.
課程目標
Course Objectives
本課程擬從一個個體經濟概念開始，引領進入不同的應用領域。除了經濟，這門課打算 串接法律學、演化生物學、國際關係等許多學門，希望能幫助非財經本科學生理解經濟 觀念如何應用在多面向問題的分析上。
This course starts from the concept of microeconomics, and then goes further into various application fields. Besides economics, subjects such as law, evolutionary biology, international relationship are discussed together to help students who do not master in economics understand how to analyze multifaceted problems with concepts of economics.
課程資訊
| ♠上課時間 Time : | 每周三、第5堂至第7堂 (13:20-16:20) |
| ♠上課地點 Room : | 台積館 - 孫運璿演講廰 (111教室) |
| 1. | 為什麼要唸經濟思辨？ |
| Why should we learn to reason in an economic way? 1a. 什麼是「通識」經濟學？ What’s “Economics for General Education”? 1b.為什麼只懂數學的咖能在財經科系招搖撞騙？ Why could those who know only math live well in business college ? | |
| 2. | 需求、供給、完全競爭均衡 延伸閱讀 |
| Demand, supply, and equilibrium in perfect competition——further reading 2a.生物界的完全競爭 －－ 為什麼海豚聰明又長壽？ The perfect competition in biological world——the reason for dolphins’ high intelligence and longevity 2b.語言演變的競爭規 （原，哪裡來那麼多的「不規則動詞」？ The competitive rules in the language evolution (The original text: Why are there so many irregular verbs? | |
| 3. | 從傳統經濟到創新經濟 |
| From traditional economy to innovative economy 3a. 究竟什麼是知識經濟？ What’s knowledge-based economy? 3b. 知識研發的特殊角色 Knowledge development is playing a special role. 3c. 為什麼川普要對「七年後的產品」課稅？ Why does Trump tax on “products produced 7 years later”? | |
| 4. | 網路經濟時代的競爭 |
| Competition in the era of network economy 4a. 網路經濟下的競爭與定價 The competition and sticker prices of in network economy 4b. 電子商務的國際競爭 The international competition of e-commerce | |
| 5. | 生產要素的報酬與分配 |
| The remuneration distribution of factors of production 5a. 全球化下的「異形」勞資關係 The “alien” labor relations under globalization 5b. 勞動基準法與罷工 Labor Standards Act and strikes | |
| 6. | 所得與財富分配的不均 |
| Uneven distribution of wealth and income 6a. 該不該課徵遺產贈與稅？ Should estate and gift tax be imposed? 6b. 台灣所得分配不均的幾個觀察 Observations on the uneven income distribution of Taiwan 6c. 股利分離課稅，有道理嗎？ Is it reasonable that the dividends are taxed separately? | |
| 7. | 國際貿易的理論與挑戰 |
| The challenges and theories of international trade 7a. 川普何時決定貿易戰「收兵」？ When will Trump end the trade war? 7b. 自由貿易之外，政府究竟該不該有「產業政策」？ Aside from the free trade agreement, should the government draft a “industrial policy”? | |
| 8. | 市場失靈與永續發展 |
| Market failure and sustainable development 8a. 在市場失靈與政府失靈之間 Between the market failure and the government failure 8b. 從永續發展理念，談「九二共識」的衍生應對 Discussion about the countermeasures arose from 1992 consensus with the concept of sustainable development | |
| 9. | 資訊經濟學 |
| Information Economics 9a.孔雀開屏傳遞了什麼訊息？ The message in the fanning of a peacock’s tail 9b.家族企業裡的訊息不對稱 The message asymmetry in a family business | |
| 10. | 經濟發展過程中家族角色的蛻變 |
| The change of roles in a family during the process of economic development 10a.超級富豪家族成員之間，彼此親近嗎？ Are the members familiar with one another in a super rich family? 10b.股票投資，為什麼女性比男性厲害？ Why do the females perform better than males in stock investing? 10c.土地投資，為什麼台灣男性比女性厲害？ Why do Taiwanese men profit more than women from the investments in land? | |
| 11. | 經濟轉型與經濟困境 |
| Economic transformations and economic dilemmas 11a.中國與蘇聯不同的轉型策略 China’s transformation strategy, which is different from that of Soviet Union 11b.從韜光養晦到一帶一路 From keeping a low profile to the Belt and Road | |
| 12. | 不完全競爭市場 |
| Imperfectly competitive market 12a. 陸域風電與離岸風電背後的不同故事 The different stories behind the offshore wind power and the on-land wind power 12b. 為什麼 Amazon 拿不下紅白葡萄酒的零售市場? Why can’t Amazon corner the retail red wine and white wine market? | |
| 13. | 國際金融 |
| International Finance | |
| 13b. 歐債危機是怎麼回事？ The ins and outs of the European debt crisis | |