Lectures

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

• Introduction, Infinite series
  tl;dr:
  [Introduction slides] [Chapter 9 slides]
  

  Suggested Readings:

  • [chapter 9 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [chapter 9 summary slides_chinese (courtesy of professor Fu-Chuen Chang)]
  • Chapter 9.1~9.2
• Infinite series
  tl;dr:
  
  

  Suggested Readings:

  • [Test and Power Series]
  • [Recorded video]
  • Chapter 9.3~9.5
• Infinite series
  tl;dr:
  
  

  Suggested Readings:

  • [Recorded video]
  • Chapter 9.6~9.8
• Infinite series, Conics, Parametric Equations, and Polar Coordinates
  tl;dr:
  [Chapter 10 slides]
  

  Suggested Readings:

  • [chapter 10 summary slides (courtesy of professor Fu-Chuen Chang)]
  • Chapter 9.8~9.10
  • [Recorded video]
• Parametric Equations, and Polar Coordinates
  tl;dr:
  
  

  Suggested Readings:

  • [Parametric equation] or Chapter 10.2
  • [Cycloid]
  • Chapter 10.3~10.4
  • [Recorded video]
• Polar Coordinates and Surfaces in space
  tl;dr:
  [Chapter 11 slides]
  

  Suggested Readings:

  • [chapter 11 summary slides (courtesy of professor Fu-Chuen Chang)]
  • Chapter 10.5, 11.6
  • [Recorded video]
• Spring Break (No Class)
  tl;dr:
  
  

  Suggested Readings:

  • Chapter 9, 10.3~10.5, 11.6
• Cylindrical, spherical coordinates and Vector-Valued Functions
  tl;dr:
  [Chapter 12 slides] [Reference midterm solution]
  

  Suggested Readings:

  • [chapter 12 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [Surface in space]
  • [Recorded video]
  • Chapter 11.7, 12.1 and 12.2
• Vector-Valued Functions and Functions of Several Variables
  tl;dr:
  [Chapter 13 slides]
  

  Suggested Readings:

  • [chapter 13 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [chap13_Summary_Chinese slides (courtesy of professor Fu-Chuen Chang)]
  • [Derivation of derivatives formulas of Vector Functions]
  • [Recorded video]
  • Chapter 12.2, 13.1 and 13.2
• Functions of Several Variables
  tl;dr:
  
  

  Suggested Readings:

  • [Summary between different concept (courtesy of professor Chien-Hong Cho)]
  • [Recorded video]
  • Chapter 13.2 ~ 13.5
• Functions of Several Variables
  tl;dr:
  
  

  Suggested Readings:

  • [Recorded video]
  • Chapter 13.5 ~ 13.7
• Functions of Several Variables and Multiple integrations
  tl;dr:
  [Chapter 14 slides]
  

  Suggested Readings:

  • [Recorded video]
  • [chapter 14 summary slides (courtesy of professor Fu-Chuen Chang)]
  • Chapter 13.8 and 13.10
• Multiple integrations/Teaching Evaluation Survey and evaluation questionnaire for learning outcomes
  tl;dr:
  
  

  Suggested Readings:

  • Chapter 14.1 ~ 14.2
  • [Recorded video]
• Multiple integrations
  tl;dr:
  
  

  Suggested Readings:

  • Chapter 14.6~14.8
  • [Recorded video]
• Vector analysis
  tl;dr:
  [Chapter 15 slides]
  

  Suggested Readings:

  • [chapter 15 summary slides (courtesy of professor Kuo-Wei Lee)]
  • [圖解梯度、散度、旋度]
  • [Green定理與應用]
  • Chapter 15.1~15.4
  • [Recorded video]
• Vector analysis
  tl;dr:
  
  

  Suggested Readings:

  • [向量分析的定理關係]
  • [淺談Stoke’s 定理與電磁學]
  • Chapter 15.5~15.8
  • [Recorded video]