Monday 1-10-22 

• Start Improper Integrals
  
• ​​Why do we need to rewrite an integral?
• What does it mean for an integral to be convergent?
  
• What does it mean for an integral to be divergent?
  
• How do you rewrite an improper integral as a limit of an integral?
  
• How do you rewrite an improper integral as a sum of limits of an integral?
  

Tuesday 1-18-22 

• Address Issues from Quiz 1
  • ​Did you state why we needed improper integral?
  • Did you use an infinity as a value in a computation?
  • Did you use limits to determine the value that the improper converged to?
  • Did you properly justify divergent integral through algebra and limits?
  • ​Could you determine the integral so you could apply it within a limit?
  • Careless Errors?
    
  • Show that you actually Practiced Before Quiz
    
• What is the Comparison Test for Integrals?

Wednesday 1-19-22 

• How do you decide what function to use as a comparison function?
  • Are you trying to show that an integral converges or diverges?
    • If attempting to show an integral converges, you must show that your guess converges and that your actual function is at or below your guess for all values within your specified interval of x values
      • How do you show this WITHOUT a graphing calculator?
    • If attempting to show an integral diverges, you must show that your guess diverges and that your actual function is at or above your guess for all values within your specified interval of x values
      • How do you show this WITHOUT a graphing calculator?​​
  • Start Limit Comparison Test for Integrals 

Thursday 1-20-22 

• ​Review for Summative Assessment (1/2 quiz only over Comparison and p test)
• Limit Comparison Test (1/2 quiz next week)
  

Friday 1-21-22 

• ​Summative Assessment  Comparison Test for Integrals and p test for integrals 

SOLUTIONS to 1-10-22 QUIZ 

• Worked Out Improper Integrals Quiz Solutions

PRACTICE
​(this is subject to change, so check frequently)
1-17-22 No School MLK JR Day
1-18-22

• PON Practice Comparison Test for Integrals 
  • these are the out of class practice problems
  • solutions available at PON website
• PON Assignment Comparison Test for Integrals
  • since PON never posts these solutions, we use these as examples in class​
  • partial and full solutions will be sent via school email, if deemed necessary or time permits

1-19-22

• ICP and Review Improper Integrals & Comparison Test for Integrals
• HWK Comparison Test and Limit Comparison Test

1-20-22
1-21-22

Improper Integrals

Converting Improper Integrals to limits

Comparison Tests for Integrals 

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Organic Chemistry Tutor Website
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MIT Open Course Website
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