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]
• Geometry of Space and Vector-Valued Functions
  tl;dr:
  [Chapter 11 slides] [Chapter 12 slides] [Reference solution for Midterm]
  

  Suggested Readings:

  • [chapter 11 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [chapter 12 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [曲面探索]
  • [Surface in space]
  • [Derivation of derivatives formulas of Vector Functions]
  • Chapter 11.7, 12.1, 12.2
  • [Recorded video]
• 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)]
  • [向量值函數概論]
  • [多變量函數概論]
  • [各性質隱含關係 (courtesy of professor Chien-Hong Cho)]
  • Chapter 12.2, 13.1, 13.2, 13.3
  • [Recorded video]
• Functions of Several Variables
  tl;dr:
  
  

  Suggested Readings:

  • [多變量函數概論2]
  • Chapter 13.3 ~ 13.5
  • [Recorded video]
• Functions of Several Variables and Multiple Integration
  tl;dr:
  
  

  Suggested Readings:

  • Chapter 13.6~13.8
  • [Recorded video]
• Multiple Integration/[Teaching Evaluation Survey and evaluation questionnaire for learning outcomes](https://selcrs.nsysu.edu.tw/tch_evaluate/)
  tl;dr:
  [Chapter 14 slides]
  

  Suggested Readings:

  • [chapter 14 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [Proof of the Second Partials Test]
  • [Curve in space]
  • [多重積分概論]
  • Chapter 14.1 ~ 14.3
• Multiple Integration
  tl;dr:
  
  

  Suggested Readings:

  • [多重積分概論2]
  • Chapter 14.5 ~ 14.7