Lectures

You can download the lectures here. We will try to upload lectures prior to their corresponding classes.

• Peace Memorial Day, no classes
  tl;dr:
  
  

  Suggested Readings:

• Introduction, Integration Techniques and Improper Integrals
  tl;dr:
  [Introduction slides] [Chapter 8 slides]
  

  Suggested Readings:

  • [Chapter 8 summary slides_chinese (courtesy of professor Fu-Chuen Chang)]
  • Chapter 8.1-8.3
  • 圖解證明三角恆等式
  • [Recorded video]
• Introduction, Integration Techniques and Improper Integrals
  tl;dr:
  
  

  Suggested Readings:

  • Chapter 8.4, 8.5, 8.8
  • Partial fraction decomposition
  • 部分分式觀念釐清
  • [Recorded video]
• Infinite series
  tl;dr:
  [Chapter 9 slides]
  

  Suggested Readings:

  • [Chapter 9 summary slides_chinese (courtesy of professor Fu-Chuen Chang)]
  • [Test and Power Series]
  • [Flow cart for convergence]
  • [Graph of Taylor polynomials]
  • [Taylor Series]
  • 瑕積分觀念釐清
  • Chapter 8.8, 9.7~9.8
  • [Recorded video]
• Infinite Series and Parametric Equations
  tl;dr:
  [Chapter 10 slides]
  

  Suggested Readings:

  • Chapter 9.8~9.10, 10.2
  • [Chapter 10 summary slides_chinese (courtesy of professor Fu-Chuen Chang)]
  • [泰勒展開式的推導]
  • [泰勒展開式的相關應用]
  • [Recorded video]
• Spring Break, no classes
  tl;dr:
  
  

  Suggested Readings:

• Parametric Equations and Polar coordinates
  tl;dr:
  
  

  Suggested Readings:

  • Chapter 10.3~10.5
  • [極座標圖形繪製]
  • [Recorded video]