This course gives an introduction to the essentials of discrete and combinatorial mathematics.
| ♠ | High-school mathematics, Calculus (preferred). |
| ♠ | This course gives an introduction to the essentials of discrete and |
| combinatorial mathematics. |
| ♠ | R. P. Grimaldi, Discrete and Combinatorial Mathematics: |
| An Applied Introduction, 5th ed. Boston: Pearson Addison Wesley, 2004. | |
| Fundamentals | |
| ♠ Logic | |
| ♠ Set theory | |
| ♠ Mathematical induction | |
| ♠ Functions: definitions, pigeonhole principle | |
| ♠ Relations: definitions and properties, equivalence relations, | |
| partial orders | |
| Enumeration | |
| ♠ Principles of counting | |
| ♠ Principle of inclusion and exclusion | |
| ♠ Recurrence relations: homogeneous recurrence relations, | |
| nonhomogeneous recurrence relations | |
| ♠ Generating functions: generating functions for solving recurrence relations, generating functions for enumeration, | |
| partitions of integers | |
| ♠ Complexity of algorithms | |
| Graph Theory | |
| ♠ Introduction: definitions and properties, graph isomorphism, | |
| Euler trails and circuits, planar graphs | |
| ♠ Trees: definitions and properties, rooted trees, | |
| spanning trees, trees and sorting | |
| ♠ Optimization and matching: shortest-path problem, | |
| minimal spanning trees, matching problem, | |
| maximum flow problem | |
| ♠ | Homework 20%, two midterm exams 50%, final exam 30%. |
| ♠ | https://www.ee.nthu.edu.tw/ccc/eecs2060.html |
This is the getting-started course to Quantum Physics, showing you the concepts of quantum. Also, some related physics phenomena are introduced conceptually.
課程簡述
Brief course description
Course Description
| ☂ | 博客來 | ttps://www.books.com.tw/products/0010404433 |
| ☂ | Amazon |
Text Books / References
Teaching Method
| ♠ | 以上課講授為主. |
| Lecturing in the classroom |
教學進度
Syllabus
| ♠ | Concepts of Modern Physics Beiser(Mcgraw - Hill)! |
| 以指定用書的Ch1 to Ch10 為主要內容. This course puts emphasis on the book’s Ch1~Ch10 | |
| 1. | Relativity |
| 2. | Particle Properties of Waves |
| 3. | Wave Properties of Particles |
| 4. | Atomic Structure |
| 5. | Quantum Mechanics |
| 6. | Quantum Theory of the Hydrogen Atom |
| 7. | Many-Electron Atoms |
| 8. | Molecules |
| 9. | Statistical Mechanics |
| 10. | The Solid State |
| ♠ 量子物理磨課師課程影片請您點此連結．謝謝！ | |
| Click this hyperlink to reach the MOOCs course of Quantum Physics |
熱力學為探討能量的入門科目. Thermodynamic 本身的含義即為熱與功. 熱力學是在探討熱與功之間的轉換等....Thermodynamics is the basic subject to explore the concept of “energy”. The word “Thermodynamics” means heat and work – thus Thermodynamics discusses the transformation between heat and work…
課程說明
Course Description
熱力學為探討能量的入門科目. Thermodynamic 本身的含義即為熱與功. 熱力學是在探討熱與功之間的轉換. 由於熱與功之間的轉換需借助物質, 也就是說能量以物質為媒介才能轉換, 熱力學衍生為物質特性與能量間的關係. 本科目的重點在於介紹能量的觀念, 說明熱力學第零,第一,第二,第三定律與其應用; 如何決定物質的狀態(state) 以及所具有的能量, 用於熱力學第一與第二定律的分析; 以及推導Thermodynamic Relations,以及如何利用 Thermodynamic Relation 決定物質的 Property.
Thermodynamics is the basic subject to explore the concept of “energy”. The word “Thermodynamics” means heat and work – thus Thermodynamics discusses the transformation between heat and work. Since the transformation between heat and work requires matters (medium), Thermodynamics can also involve the relationship between matters’ properties and energy. This course will introduce:
| 1. | The concepts of energy |
| 2. | The 0th, 1st, 2nd laws of Thermodynamics and their applications |
| 3. | How to determine a matter’s state and its energy and use this knowledge |
| in the analysis of the 1st, 2nd laws of Thermodynamics | |
| 4. | Determine the matter’s property with the concept of Thermodynamic Relation |
指定與參考用書
Text Books / References
教學方式
Teaching Method
| ♠ | 以上課講授為主. |
| Lecturing in the classroom |
教學進度
Syllabus
| ♠ | Chapter 1 | Getting Start: Introductory Concepts and Definitions |
| ♠ | Chapter 2 | Energy and the First Law of Thermodynamics 6 #3 |
| ♠ | Chapter 3 | Evaluating Properties |
| ♠ | Chapter 4 | Control Volume Analysis Using Energy |
| ♠ | Chapter 5 | The Second Law of Thermodynamics |
| ♠ | Chapter 6 | Using Entropy |
| ♠ | Chapter 11 | Thermodynamic Relations |
| ♠ Goals ♠ | Introduction to cloud computing and its techniques, issues, |
| andecosystems. | |
| ♠ References : | Class notes and selected journal/conference papers. |
| ♠ Contents : | - Introduction to Cloud Computing |
| - Infrastructure as a Service (IaaS) - Server virtualization - Memory virtualization - IO virtualization - GPU virtualization - Data center management - Resource management - VM migration - Memory consolidation - Power management - Edge computing system - 5G/IOT - Container technology - Orchestration tools - IOT - Systems and architectures for AI applications - AI training - AI inference - AI systems - AI architecture - Presentation | |
This course provides an overview of the current databa
課程說明
The goals
| ♠ | are 1) to get students familiar with how to use a database system to solve |
| real problems; 2) | |
| ♠ | the internals of a database and some state-of-the-art implementations |
| (e.g.,Google BigTable, | |
| ♠ | Google MegaStore, and Google Spanner etc.). |
| ✠ | Proper understanding of Java/OOP programming and data structure is required. |
指定用書
參考書籍
| [1] | |
| ISBN:0072465638 | |
| [2] | Database System Concepts, 6ed, by Abraham Silberschatz et al, |
| ISBN:0073523321 | |
| [3] | Database Design and Implementation, by Edward Sciore, |
| ISBN: 0471757160 | |
| [4] | |
| iSBN:1441988335 |
教學進度
| 1 | Introduction to database systems |
| A. Relational model, SQL, transactions, and ACID (with quiz) | |
| B. Modern database systems for scalability, availability, and elasticity | |
| 2. | Query engine |
| A. JDBC and DB server B. Relational algebra C. Query plans, scans, and the storage interface D. Parsing E. Planning | |
| 3. | Storage engine |
| A. Disk and file management B. Memory management C. Transaction management (＋OCC) D. Record management E. metadata management | |
| 4. | Benchmarking with TPC-C |
| 5. | Optimizations |
| A. Indexing B. Materialization and sorting C. Multi-buffer plans D. Query optimization | |
| 6. | Distributed database systems and advanced topics |
| A. NoSQL database systems B. NewSQL database systems C. OLAP and datawarehousing | |
介紹信號處理在音樂、語音、或其他日常生活中聽得到的聲訊中的應用：包含分析與合成兩大部分。學生修完本課程,應能對這個領域的核心技術、背景觀念有充分理解......
Course Description
References
| 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 |
影片需重新下載可參閱此:https://www.youtube.com/channel/UCuwrgeMCklTPnoN5PVaF5mg/videos
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This is one of the core courses for the EE Department. The intent is to use rigorous mathematical expressions so that the students may appreciate experimentally observable phenomenom regarding static electric fields, steady electric current, static magnetic fields. The students will also learn the coupling between electric and magetic fields that leads to time-varying electro-magnetics. The derivation and physical insight behind the Maxwell’s Equations will be emphasized.
The course contents are pivotal for later course such as electromagnetic waves, introduction to optical engineering, photonics, high-frequency circuit design, solidstate devices.
Required background knowledege include: Calculus (I, II), vector analysis
♠ This course requires your total devotion. Preview and review are essential in keeping up!
【Textbook】
| ♠ | David K. Cheng, Field and Wave Electromagnetics, Addison Wesley |
| ♠ | Transmission line: F. Ulaby, E. Michielssen, and U. Ravaioli, |
| Fundamentals of Applied Electromagnetics, 6th edition, Pearson, 2010. |
| ♠ | Course materials available on http://lms.nthu.edu.tw |
| ♠ | Lectures in English |
| ♠ | discussions in English/Chinese |
| ♠ | Introduction and Transmission line |
| ♠ | Basic vector analysis |
| ♠ | Static electric fields and steady electric currents |
| ♠ | Static magnetic fields |
| ♠ | Maxwell’s equations and Plane-wave propagation |
| ♠ | Homeworks(no late turn-in) (20%) |
| ♠ | Quizzes (25%) |
| ♠ | First examination (15%) |
| ♠ | Second examination (20%) |
| ♠ | Final examination (20%) |
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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 |
| ♠ |
| ♠ | 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) 【工程數學一題庫練習】 |
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】