Mr Hickman's Class 2022-2023
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Second Semester AP Calculus 2019-2020


Topics

  • ​Using U-substitution to find integrals of more complex functions
Goals
  • Be able to use LRAM, RRAM, MRAM to approximate areas under curve
  • Understand the connection to "positive" and "negative" areas and integration
  • Be able to connect derivative to the integration process
  • Be able to use properties of integrals to take integrals of polynomials, rational, radical, exponential, logarithmic functions, or trigonometric functions
  • Be able to use u substitution to find integrals of more complex functions
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Practice 

U Substitution
The reverse of the Chain Rule
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  • PON 5.3 HWK
    • ​​PON 5.3 HWK Solutions
  • PON 5.3 Assignment
  • ​PON 5.4 HWK
    • ​​PON 5.4 HWK Solutions​​
  • PON 5.4 Assignment
  • ​KUTA U Substitution
  • KUTA U Substitution​​ 2​
  • U Substitution Practice 
  • U Substitution Practice 2
    • Worked Out ​Solutions
  • ​U Substitution Practice 3
  • U Substitution Practice 4
    • ​​worked out solutions
  • ​​U Substitution Practice 5
    • ​​worked out solutions







Links and Resources
  • Paul's Online Notes for Calc 1
  • ​A Free Calculus Book
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  • ​U Substitution Lecture​
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  • Calculus Directory
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  • Anti-Derivative Lecture
  • Definite Integrals Lecture
  • Fundamental Theorem of Calculus I Lecture 
  • Fundamental Theorem of Calculus II Lecture
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  • Integration Directory
  • Optimization links 
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  • Calculus Directory
  • Integration Directory
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  • ​U Substitution 1
  • U Substitution 2​
  • ​U Substitution 3
  • U Substitution 4
  • ​U Substitution 5
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  • Calculus Directory

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  • ​U Substitution
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  • U Substitution​​
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  • LRAM Example
  • ​RRAM Example
  • ​MRAM Example
  • ​Riemann Sum with Rectangles
  • quartic functions
  • ​cubic functions
  • ​quadratic functions
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​Mr Hickman's Resources
  • optimization 2018-2019

Mr Hickman is available for assistance after school practically anytime.  Talk to me to be certain that I am aware you are coming and 99% of the time I will be able to help you