Ch. 1

Ch. 2a

Ch. 2b

Ch. 3

Ch. 4

Ch. 5/6

Review

Textbook Solutions: Online, Android App, iPhone App (on the app, choose "Calculus and Linear Algebra", then "Calculus for AP 1e")

Link to all class notes: OneNote or Folder of PDFs

List of Justifications

Tuesday, September 24, 2019

• Derivatives of Inverse Functions
• Small things for test
• Class Notes
• Homework
  • 2.6 Worksheet
  • Start Ch 2a Review

Thursday, September 26, 2019

• Implicit Differentiation
• Class Notes
• Homework
  • Pg. 179: #3, 9, 11, 43, 51-55 odd, 85, 87
  • Ch. 2a Review

Tuesday, October 1, 2019

• Logarithmic Differentiation
• Review for Test
• Class Notes
• Homework
  • Pg. 179: #63, 65, 67, 71
  • Pg. 186: #21

Thursday, October 3, 2019

• Ch. 2a Test
• Homework
  • None! Have fun. Drink strawberry lemonade. It's delicious. Unless you have a strawberry allergy. In that case, regular lemonade will do just fine.

Monday, October 7, 2019

• Related Rates
• Homework
  •  Pg. 194: 11a, 13a, 15a, 45
  • Related Rates MC (odds)
  • Optional: Give these practice quizzes a whirl (solutions are at the end)

Thursday, October 10, 2019

• Rectilinear Motion
• Homework: You will probably have some questions from this hw, especially questions that ask when something is moving to the right or changing direction. Do the ones you can do and make sure you come to next class prepared with which questions gave you trouble.
  • Rectilinear Motion Worksheet
  • Related Rates MC (evens)
  • FR: 7, 9, 10, 20

Monday, October 14, 2019

• Team Round: Rectilinear Motion and Related Rates
• Homework
  • FR: 19, 22

Thursday, October 17, 2019

• Review
• Quiz Next Class:
  • Rectilinear Motion
  • Related Rates
  • Practice Quiz here (solutions are at the end)
• Homework
  • Ch. 2 MC
  • FR: 8, 23
  • (not actually homework: if you're interested in learning a shortcut for implicit derivatives, check out this video)

Tuesday, October 22, 2019

• Quiz: Motion and Related Rates
• Homework
  • Ch 2 FRQ Review

Thursday, October 24, 2019

• Critical Numbers
• Extrema
• Finding Absolute Extrema
• Class Notes
• Started Discussing Finding Relative Extrema
• Test Next Class: Ch 2b. Here's what is in Ch 2b
  • Derivative of inverse trig
    • Know all six
    • You should be able to evaluate things like arctan(-1) and arcsin(-1/2)
  • Derivative of inverse functions
    • Remember that you aren't going to actually find the inverse function, you're just going to apply the formula
  • Related Rates
  • Rectilinear Motion
  • L'Hospitals Rule
  • Implicit Differentiation
    • You can use the trick I posted in the video last week if you are comfortable with it
  • Logarithmic Differentiation
    • Don't forget to apply all the log properties before taking the derivative. Don't stop at ln( (x+2)²(x+3) ) = ln( (x+2)² )+ln( x+3 ). Go all the way to 2ln( x+2 )+ln( x+3 )
    • Don't forget to mulitply by y at the end and plug in what y stands for
  • Ch 2a topics are still fair game: Product/Quoteint/Chain Rules, Derivative Properties, Making Piecewise functions differentiable, Limit Definition of Derivative
  • The best reviews are the things you have done for homework
  • I want to give you as much time as possible to work on the test, so don't expect me to go over problems at the start of class
• Homework
  • p. 217 (11, 17, 27, 30, 35, 39, 41, 43, 47, 63, 71, 72, 74, 75)
  • Not homework, but...every day for the next month is probably going to involve the word "critical numbers" which means a lot of finding zeros which means a lot of factoring. If factoring is not your strong point, check out this page.

Monday, October 28, 2019

• Ch. 2b Test
• Homework
  • None, unless you skipped algebra II and need to brush up on factoring skills. In that case, your homework is to check out this page.