本課程的主要目的是向同學們介紹微積分的基本概念，幫助他們學會使用微積分這個重要的工具，訓練他的邏輯與推理的能力。主題包括介紹極限、微分與微分的應用，之後介紹積分與積分的應用，最終介紹常微分方程式與其在王唯工脈診儀上的理論基礎與應用範疇。
The main purpose of this course is to introduce the basic concepts of calculus to students, help them learn to use calculus, an important tool, and train their logic and reasoning abilities. Topics include an introduction to limits, differentials and their applications, followed by an introduction to integrals and their applications, and finally an introduction to ordinary differential equations and their theoretical basis and application scope on the Wang Weigong Pulse Diagnostic Instrument.
1. J. Stewart, Essential Calculus, BROOKS/COLE.
2. F. Thomas, Calculus, Addison Wesley.
3. R. T. Smith and R.B. Minton, Calculus, McGram-Hill.
4. R. Larson, Applied Calculus for the life and social sciences, BROOKS/COLE. (教科書)
教學進度Course Schedule
2024/09/11 極 限 的 定 義 (實體授課)
Definition of limit
陳柏源(Chen, Po-Yuan) 2024/09/18 微 分 (實體授課)
Differentiation
陳柏源(Chen, Po-Yuan) 2024/09/25 微分的應用 (實體授課)
The Application of Differentiation
陳柏源(Chen, Po-Yuan) 2024/10/02 微積分基本定理 (實體授課)
The Basic Principle of Differentiation
陳柏源(Chen, Po-Yuan) 2024/10/09 積分 (實體授課)
Integral
陳柏源(Chen, Po-Yuan) 2024/10/16 指對與對數方程式 (實體授課)
Exponential and Logarithmic Equations
陳柏源(Chen, Po-Yuan) 2024/10/23 羅必達法則 (實體授課)
L'Hôpital's rule
陳柏源(Chen, Po-Yuan) 2024/10/30 反三角函數 (線上同步教室)
Inverse trigonometric function
陳柏源(Chen, Po-Yuan) 2024/11/06 微分方程式(線上同步教室)
Differential equation
陳柏源(Chen, Po-Yuan) 2024/11/13 微積分的應用: 人工智慧在中醫四診上的應用(線上非同步)
Application of Calculus: Application of Artificial Intelligence in the Four Diagnostics of Traditional Chinese Medicine
陳柏源(Chen, Po-Yuan) 2024/11/20 用python求解微積分程式語法解析: 使用python求解微分方程式((線上非同步)
Use Python to solve calculus program syntax analysis: Use python to solve differential equations
陳柏源(Chen, Po-Yuan) 2024/11/27 用python 求解微積分程式語法解析: 使用python求解微分並使用matplotlib繪製相應的函數和導數圖形(線上非同步)
Use python to solve calculus program syntax analysis: use python to solve differentials and use matplotlib to draw the corresponding function and derivative graphics
陳柏源(Chen, Po-Yuan) 2024/12/04 用python 求解微積分程式語法解析:使用python求解微分((線上非同步)
Use python to solve calculus program syntax analysis: use python to solve differential calculus
陳柏源(Chen, Po-Yuan) 2024/12/11 用python 求解微積分程式語法解析:使用python求解不定積分(線上非同步)
Use python to solve calculus program syntax analysis: use python to solve indefinite integrals
陳柏源(Chen, Po-Yuan) 2024/12/18 用python進行三角函數繪圖練習(線上非同步)
Trigonometric function drawing exercises with python
陳柏源(Chen, Po-Yuan) 2024/12/25 用python 求解ODE (常微分方程，線上非同步)
Solve ODE (ordinary differential equation) using python
陳柏源(Chen, Po-Yuan) 2025/01/01 用 python來建立疾病模型((線上非同步)
Use python to build disease models
陳柏源(Chen, Po-Yuan)