Lectures

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

• Introduction, Limits and Their Properties
  tl;dr:
  [Introduction slides] [Chapter 1 slides]
  

  Suggested Readings:

  • [chapter P slides (courtesy of professor Chien-Hong Cho)]
  • Chapter P
  • Chapter 1
  • [chapter 1 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [Recorded video]
• Limits and Their Properties, Differentiation
  tl;dr:
  [chapter2 slides]
  

  Suggested Readings:

  • Chapter 1.4~2.1
  • [chapter 2 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [Recorded video]
• Differentiation
  tl;dr:
  
  

  Suggested Readings:

  • Chapter 2.1~2.4
  • [Proof of trigonometric identities]
  • [Geometric view of the rules]
  • [Geometric view of the quoteint rule]
  • [Recorded video]
• Typhoon day-off
  tl;dr:
  
  

  Suggested Readings:

  • Chapter P~2.3
• Differentiation, Applications of Differentiation
  tl;dr:
  [chapter3 slides]
  

  Suggested Readings:

  • Chapter 2.4~3.2
  • [chapter 3 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [Intuition of Implicit differentiation]
  • [Recorded video]
• Applications of Differentiation
  tl;dr:
  
  

  Suggested Readings:

  • Chapter 3.2~3.6
  • [Recorded video]
• Application of differentiation
  tl;dr:
  
  

  Suggested Readings:

  • Chapter 3.6~3.9
  • Root finding using Python
  • [Recorded video]
• Integration
  tl;dr:
  [chapter4 slides]
  

  Suggested Readings:

  • Chapter 4.1~4.3
  • [chapter 4 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [Recorded video]
• Integration, Logarithmic, Exponential, and Other Transcendental Functions
  tl;dr:
  [chapter5 slides]
  

  Suggested Readings:

  • Chapter 4.4, 4.5 and 5.1
  • [chapter 5 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [Recorded video]
• Logarithmic, Exponential, and Other Transcendental Functions
  tl;dr:
  [Midterm reference solution]
  

  Suggested Readings:

  • Chapter 5.1~5.4