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)]
• 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]
• Differentiation, Applications of Differentiation
  tl;dr:
  [chapter3 slides]
  

  Suggested Readings:

  • Chapter 2.4~3.3
  • [chapter 3 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [Recorded video]
• Applications of Differentiation
  tl;dr:
  
  

  Suggested Readings:

  • Chapter 3.3~3.6, 3.8
  • Root finding using Python
  • [Recorded video]
• Integration
  tl;dr:
  [chapter4 slides]
  

  Suggested Readings:

  • Chapter 3.8, 4.1~4.3
  • [chapter 4 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [Recorded video]
• Integration
  tl;dr:
  
  

  Suggested Readings:

  • Chapter 4.3~4.5
  • [Recorded video]
• Logarithmic, Exponential, and Other Transcendental Functions
  tl;dr:
  [chapter5 slides] [Midterm reference solution]
  

  Suggested Readings:

  • Chapter 5.1~5.3
  • [chapter 5 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [Recorded video]
• Logarithmic, Exponential, and Other Transcendental Functions
  tl;dr:
  
  

  Suggested Readings:

  • Chapter 5.3~5.5
  • What’s so special about Euler’s number e?
  • [Recorded video]
• Logarithmic, Exponential, and Other Transcendental Functions
  tl;dr:
  
  

  Suggested Readings:

  • Chapter 5.6~5.8
  • [Recorded video]
• Applications of Integration
  tl;dr:
  [chapter7 slides]
  

  Suggested Readings:

  • Chapter 7.1,7.2,7.4
  • [chapter 7 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [Recorded video]
• Integration Techniques and Improper Integrals
  tl;dr:
  [chapter8 slides]
  

  Suggested Readings:

  • Chapter 7.4, 8.1-8.3
  • Lateral surface area of frustum
  • Why does the area require approximation by a cone?
  • 圖解證明三角恆等式
  • [chapter 8 summary slides (courtesy of professor Fu-Chuen Chang)]
  • [Recorded video]
• Integration Techniques and Improper Integrals
  tl;dr:
  
  

  Suggested Readings:

  • Chapter 8.3-8.5
  • Partial fraction decomposition
  • [Recorded video]
• Integration Techniques and Improper Integrals
  tl;dr:
  [Final reference solution]
  

  Suggested Readings:

  • Chapter 8.6, 8.8
  • Numerical integration using Python
  • Numercial examples in Wolfram Alpha
  • [Recorded video]