戰昇的部落格

今天是個體經濟學Week 01的課程，以下是今天的課程重點

學習重點分項整理

經濟模型的意義與應用

• 透過假設、變數和函數來簡化複雜的經濟現象。
• 經濟模型的抽象化與物理學模型類似，利用數學工具分析現實問題。

拉格朗日乘數法（Lagrange Multiplier）

• 用「想買無限多台iPad但收入有限」的例子，說明資源稀缺的概念。
• 介紹如何用微積分和代數解決帶有約束條件的最適化問題。
• 發現公式背後的邏輯條理清晰，學習過程像在解數學謎題，提升了對工具的興趣。

比較靜態分析（Comparative Statics）

• 探討當稅率改變時，市場均衡價格和數量的變化反應。
• 強調經濟學不僅是理論，還能直接應用於政策分析，推導價格如何隨稅率變動。
• 對數學與經濟學的結合有了更深刻的體會。

課程的整體收穫

• 學會用數學方法解釋經濟問題，尤其是在有限資源或政策變化的情境下。
• 理解數學工具不僅適用於學術研究，也是分析現實問題的重要手段。
• 增強對經濟模型和數學應用的興趣，期待學到更多實際應用的例子。

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Today marks Week 01 of the Microeconomics course. Below are the key points from today’s class:

Key Learning Points

The Significance and Application of Economic Models

• Simplifying complex economic phenomena through assumptions, variables, and functions.
• Economic models share similarities with physics models, using mathematical tools to analyze real-world problems.

Lagrange Multiplier

• Explained the concept of resource scarcity using the example of "wanting to buy unlimited iPads but having limited income."
• Introduced how to solve optimization problems with constraints using calculus and algebra.
• Found the logic behind the formulas to be clear and organized, making the learning process feel like solving a math puzzle and sparking interest in the tool.

Comparative Statics

• Explored how changes in tax rates affect market equilibrium prices and quantities.
• Emphasized that economics is not just theoretical but can also be applied directly to policy analysis, such as deriving how prices respond to tax changes.
• Gained a deeper understanding of the integration between mathematics and economics.

Overall Takeaways from the Class

• Learned how to use mathematical methods to explain economic issues, especially in scenarios involving limited resources or policy changes.
• Understood that mathematical tools are not only useful for academic research but also essential for analyzing real-world problems.
• Developed a stronger interest in economic models and mathematical applications, looking forward to learning more practical examples in future classes.