2026 Hong Kong-Shanghai Mathematical Modelling Competition for Secondary Students (HSMMC) - Training Workshops for Hong Kong Representatives
「2026年香港－上海中學生數學建模比賽」- 香港代表隊訓練工作坊

Workshop schedule 工作坊時間表

Workshop 工作坊	Date 日期	Time 時間	Venue 地點
Workshop 1 Advanced Linear Algebra and Linear Programming 進階線性代數及線性規劃	2 May 2026 (Saturday) 2026 年 5 月 2 日 (星期六)	09:30 - 12:30 and 及 14:00 - 17:00	Wu Ho Man Yuen Building (WMY) 508, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong 香港中文大學伍何曼原樓 508 室 [Directions 如何前往]
Workshop 2 Advanced Calculus, Optimization, and Differential Equations 進階微積分、最優化及微分方程	16 May 2026 (Saturday) 2026 年 5 月 16 日 (星期六)	09:30 - 12:30 and 及 14:00 - 17:00	Hui Yeung Shing Building (HYS) G04, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong 香港中文大學許讓成樓 G04 室 [Directions 如何前往]
Workshop 3 Advanced Probability, Statistics, and Data Analysis 進階概率、統計及數據分析	27 June 2026 (Saturday) 2026 年 6 月 27 日 (星期六)	09:30 - 12:30 and 及 14:00 - 17:00	Hui Yeung Shing Building (HYS) G04, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong 香港中文大學許讓成樓 G04 室 [Directions 如何前往]
Workshop 4 Integrated Mathematical Modelling 綜合數學建模	4 July 2026 (Saturday) 2026 年 7 月 4 日 (星期六)	09:30 - 12:30	Hui Yeung Shing Building (HYS) G04, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong 香港中文大學許讓成樓 G04 室 [Directions 如何前往]
Workshop 5 Integrated Mathematical Modelling 綜合數學建模	11 July 2026 (Saturday) 2026 年 7 月 11 日 (星期六)	09:30 - 12:30	Hui Yeung Shing Building (HYS) G04, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong 香港中文大學許讓成樓 G04 室 [Directions 如何前往]

Useful Information 有用資訊:

• HSMMC Training Workshop and Competition Arrangement 訓練工作坊及比賽安排
• CUHK Campus Map 中大地圖
• Remark: Following the university regulations, visitors entering the campus need to register at the security counter at the entrance. Please show your identity documents (i.e., HKID Card/ Passport) for registration. 備註：按照大學規定，進入校園的訪客需要在入口處的保安櫃檯登記。請參加者出示身份證明文件（即香港身份證／護照）以進行登記。
• Participants are encouraged to bring their own laptops (preferred) / tablets for the IT tool learning activities during the workshops. 我們建議參加者帶備手提電腦(較佳) 或平板電腦，以便進行 IT 工具學習活動。
• The required password is provided during the workshops 密碼於在工作坊提供。

Workshop 1 (Advanced Linear Algebra and Linear Programming) 工作坊 1 (進階線性代數及線性規劃):

Topics: Review on linear algebra (vectors, matrices, norm etc.), least-squares problems, regularized regression, eigenvalues and eigenvectors, graphs, graph algorithms, linear programming, integer programming, network flow problem, ...
主題：線性代數複習（向量、矩陣、範數等）、最小平方法問題、正則化迴歸、特徵值與特徵向量、圖論、圖算法、線性規劃、整數規劃、網路流問題...

(i) Pre-workshop Learning Tasks 工作坊前學習任務:

• Please read the provided Preworkshop Learning Materials 1. 請閱讀我們提供的工作坊前學習資源 1。
  
• Please try the provided Preworkshop Exercise 1. 請嘗試我們提供的工作坊前練習 1。 [Solution 答案]
  
• Please also read and try the computational exercises in the provided Google Colab notebooks. 請閱讀我們提供的 Google Colab notebooks 及嘗試我們提供的計算練習。
  
  • Introduction to Basic Operation of Matrices 矩陣的基本運算簡介 [Solution 答案]
  • Introduction to Matrix Norm 矩陣範數簡介 [Solution 答案]
  • Introduction to Eigenvalue and Eigenvectors 特徵值和特徵向量簡介 [Solution 答案]
  • Introduction to Ordinary Least Squares 普通最小平方法簡介 [Solution 答案]
  • Introduction to Linear Programming 線性規劃簡介 [Solution 答案]

(ii) Workshop Materials 工作坊資源:

• Linear Algebra e-Book 線性代數電子書
  
• Linear Algebra Review, Least-Squares Problems, and Regularized Regression 線性代數複習、最小平方法問題及正則化迴歸
• Eigenvalues and Eigenvectors 特徵值與特徵向量
• Graph Theory 圖論
• Network Analysis Using Eigenvector Centrality 特徵向量中心性網絡分析
• Shortest Path Algorithms 最短路徑算法
• Minimum Spanning Tree 最小生成樹
• Analytic Hierarchy Process 層級分析法 [English, 中文]
• Exercises on Eigenvalues and Eigenvectors 特徵值與特徵向量練習 [English, 中文]
• Exercises on Graph Theory 圖論練習 [English, 中文]
• Exercises on Minimum Spanning Tree 最小生成樹練習 [English, 中文]
• Linear Programming, Integer Programming, and Network Flow Problem 線性規劃、整數規劃及網路流問題 Google Colab notebook

Workshop 2 (Advanced Calculus, Optimization, and Differential Equations) 工作坊 2 (進階微積分、最優化及微分方程):

Topics: Review on calculus, multivariable calculus, unconstrained optimization, constrained optimization, differential equations, systems of differential equations...
主題： 微積分複習、多元微積分、無約束優化、約束優化、微分方程、微分方程組...

(i) Pre-workshop Learning Tasks 工作坊前學習任務:

• Please read the provided Preworkshop Learning Materials 2. 請閱讀我們提供的工作坊前學習資源 2。
  
• Please try the provided Preworkshop Exercise 2. 請嘗試我們提供的工作坊前練習 2。 [Solution 答案]
  
• Please also read and try the computational exercises in the provided Google Colab notebooks. 請閱讀我們提供的 Google Colab notebooks 及嘗試我們提供的計算練習。
  
  • Introduction to Differential Equations 微分方程簡介 [Solution 答案]

(ii) Workshop Materials 工作坊資源:

• Differential Equations e-Book 微分方程電子書
  
• Workshop slides 1 工作坊簡報 1 (Last updated: 17/05/2026, with a remark on optimization added)
• Workshop slides 2 工作坊簡報 2 [Solution 答案]
• Orthogonal Projection and Least Squares Problem 正交投影與最小二乘法問題 [English, 中文]
• Gradient Descent Method 梯度下降法 [English, 中文]
• First-order ODEs 一階常微分方程 [English, 中文]
• Numerical Differential Equations 數值微分方程 [English, 中文]
• Exercises on Orthogonal Projection and Least Squares Problem 正交投影與最小二乘法問題練習 [English, 中文]
• Exercises on Gradient Descent Method 梯度下降法練習 [English, 中文]
• Exercises on Modelling using First-order ODE 透過一階微分方程建模練習 [English, 中文]
• Exercises on Numerical Solutions of Differential Equations in Python Python 求微分方程數值解練習 [English, 中文]
• Exercises on Solutions to Linear First-Order ODEs 線性一階常微分方程解練習 [English, 中文]
• Exercises on Second-Order Linear Differential Equations 二階線性微分方程練習 [English, 中文]
• Optimization using Python 透過 Python 進行最優化 Google Colab notebook [Solution 答案]
• Orthogonal Projection and Least Squares Problem 正交投影與最小二乘法問題 Google Colab notebook [Solution 答案]
• Gradient Descent Method 梯度下降法 Google Colab notebook [Solution 答案]
• First Order Differential Equations 一階微分方程 Google Colab notebook [Solution 答案]
• Higher Order and Systems of Differential Equations 高階微分方程與微分方程組 Google Colab notebook [Solution 答案]
• Modelling using First-order ODE 透過一階微分方程建模 Google Colab notebook [Solution 答案]
• Analytic and Numerical Solutions of Differential Equations 微分方程的解析解與數值解 Google Colab notebook [Solution 答案]
• Advanced Differential Equations 進階微分方程 Google Colab notebook [Solution 答案]

Workshop 3 (Advanced Probability, Statistics, and Data Analysis) 工作坊 3 (進階概率、統計及數據分析):

Topics: Basic probability theory, statistics tools, probability distributions, Markov chain, dimensionality reduction, principal component analysis, clustering, classification ...
主題： 基礎概率論、統計工具、概率分佈、馬可夫鏈、降維、主成分分析、聚類、分類...

(i) Pre-workshop Learning Tasks 工作坊前學習任務:

• Please read the provided Preworkshop Learning Materials 3. 請閱讀我們提供的工作坊前學習資源 3 。
  
• Please try the provided Preworkshop Exercise 3. 請嘗試我們提供的工作坊前練習 3。 [Solution 答案]
  
• Please also read and try the computational exercises in the provided Google Colab notebooks. 請閱讀我們提供的 Google Colab notebooks 及嘗試我們提供的計算練習。
  
  • Basic Statistics Tools 基礎統計工具 [Solution 答案]
  • Introduction to Dataset Handling Using Python 使用 Python 處理數據集簡介 [Solution 答案]
    Sample data file 參考數據檔案: [sample_data.csv], [sample_data.txt] , [sample_data.xlsx] , [CLMMAXT_SHA_.csv]
  • Introduction to Statistical Distribution 概率分佈簡介 [Solution 答案]
  • Introduction to Markov Chain 馬可夫鏈簡介 [Solution 答案]

(ii) Workshop Materials 工作坊資源:

• Probability and Statistics e-Book 概率及統計電子書
  
• Workshop overview 工作坊概覽
  
• Probability 概率 [English, 中文]
• Statistics 統計 [English, 中文]
• Markov Chains 馬可夫鏈 [English, 中文]
• Principal Component Analysis (PCA) 主成分分析 [English, 中文]
• Cluster Analysis 聚類分析 [English, 中文]
• Exercises on Probability 概率練習 [English, 中文]
• Exercises on Statistics 統計練習 [English, 中文]
• Exercises on Markov Chains 馬可夫鏈練習 [English, 中文]
• Exercises on Principal Component Analysis (PCA) 主成分分析練習 [English, 中文]
• Exercises on Clustering Algorithms 聚類演算法練習 [English, 中文]
• Exercises on Agglomerative Hierarchical Clustering 凝聚層次聚類練習 [English, 中文]
• Probability 概率 Google Colab notebook
• Statistics 統計 Google Colab notebook
• Markov Chains 馬可夫鏈 Google Colab notebook
• Clustering Algorithms 聚類演算法 Google Colab notebook
• More materials to be posted

Workshop 4-5 (Integrated Mathematical Modelling) 工作坊 4-5 (綜合數學建模):

Topics: Classification, other advanced topics, integrated exercises ...
主題： 分類、其他進階主題、綜合練習...

• Support Vector Machine (SVM) 支援向量機 [English, 中文]
• More materials to be posted

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