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:

  • [Recorded video]
  • [Improper Integrals]
  • [Chapter 9 summary slides_chinese (courtesy of professor Fu-Chuen Chang)]
  • Chapter 9.1~9.2
• Peace Memorial Day, no classes
  tl;dr:
  
  

  Suggested Readings:

• Infinite series
  tl;dr:
  
  

  Suggested Readings:

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

  Suggested Readings:

  • [Recorded video]
  • [Graph of Taylor polynomials]
  • [Taylor Series]
  • Chapter 9.6~9.8
• Infinite series
  tl;dr:
  
  

  Suggested Readings:

  • [Recorded video]
  • Chapter 9.8~9.10
• Parametric Equations and Polar coordinates
  tl;dr:
  [Chapter 10 slides]
  

  Suggested Readings:

  • [Recorded video]
  • Chapter 10.2~10.4
  • [Chapter 10 summary slides_chinese (courtesy of professor Fu-Chuen Chang)]
• Polar graphs, cylindrical and spherical coordinates
  tl;dr:
  [Chapter 11 slides]
  

  Suggested Readings:

  • [Recorded video]
  • [chapter 11 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [Polar Graphs]
  • Chapter 10.4, 10.5, 11.7
• Vector-Valued Functions and Functions of Several Variables
  tl;dr:
  [Chapter 12 slides] [Chapter 13 slides]
  

  Suggested Readings:

  • [Recorded video]
  • [chapter 12 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [chapter 13 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [Surface in space]
  • [Derivation of derivatives formulas of Vector Functions]
  • Chapter 12.1, 12.2, 13.1