Mathematics and Engineering

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Analytical Methods in Physics
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Analytical Methods in Physics

Analytical methods are the language of physics. We introduce the basics of this language to you so that you can have sufficient preparation for the introductory physics courses. The analytical skills are introduced with the use of vivid examples that are relevant to physics. To help you in overcoming the language barrier, the narration of the videos are available in English, Cantonese, and Mandarin.
Category
Physics
Language
Chinese and English

Information Theory
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Information Theory

This course is an introduction to information theory, which emphasizes fundamental concepts as well as analytical techniques. Specific topics include: Information Measures, The I-Measure, Zero-Error Data Compression, Weak Typicality, Strong Typicality, Discrete Memoryless Channels, etc.
Category
Information theory, Technology, Mathematics
Language
Chinese and English

Engineering - 离散优化建模高阶篇 Advanced Modeling for Discrete Optimization

Advanced Modeling for Discrete Optimization 離散優化建模高階篇

(In Chinese only) 優化問題是一種常見的決策問題,它在我們的社會中很常見。它的應用可以從數獨問題的解決涵蓋到婚禮的座次安排。同樣的技術可以用於航班與機組成員的安排,鋼鐵生產的調節,和鋼鐵從礦區到港口的調度問題。在生產中,人力資源與生產材料的合理決策可以使企業獲得成千上萬的利潤提升。類似的問題也存在於我們的日常生活中,它們包括決定包裹的運輸路徑,調整學校課程時間,和傳輸能源到千家萬戶。儘管這些問題很基礎,不過以一般本科教育的知識來解決這些問題都會十分困難。 這個課程是設計給已完成離散優化建模基礎篇的同學。你將學習到更多關於如何使用先進的高級建模語言表述清楚具有挑戰性的離散優化問題,並讓約束求解器完成其餘工作。本課程將重點介紹模型調試與改良,如何把一個複雜的約束定義封裝到一個謂詞裡面,及如何著手各種複雜的項目調度和打包問題。當你掌握這種先進的技術,你將能夠解決以前難以想像的問題。
Category
Advanced Modeling, Discrete Optimization
Language
Chinese

Mathematics - Introduction to Basic Statistics

Introduction to Basic Statistics

The objective of this course is to give you an understanding of how statistics operates in business and commerce. The statistics knowledge learned in this course will enable you to apply the fundamental statistical techniques in a wide variety of circumstances and perhaps more importantly, to assess the legitimacy and significance of the many and varied reports that you will come across during your future career. This course deals with the fundamentals of statistical methods, including descriptive statistics, sampling distribution, and survey errors.
Category
Basic statistics, Business, Commerce, Sampling distribution, Survey
Language
English

Engineering - 离散优化算法篇 Solving Algorithms for Discrete Optimization

Solving Algorithms for Discrete Optimization 離散優化算法篇

(In Chinese only) 優化是決策的一般形式,在我們的社會中很常見。它的應用包括從求解數獨謎題到婚禮上的座次安排。同樣的技術可以調度航班和機組成員,協調鋼鐵生產,組織鐵礦從礦井到港口的運輸。人力資源和材料管理上好的決策可以令企業提升上百萬的盈利。同樣的問題很多也在我們日常生活出現,成為決定每天送貨路線,決定學校時間表,傳輸電力到家裡等種種問題的一部分。除了它們的重要性,這些問題如果用傳統的本科計算機科學方法難以求解。這門課程為已經完成離散優化高階篇的同學設計。
Category
Algorithms, Discrete Optimization
Language
Chinese