Road to Getting a 5: AP Calculus BC Prep
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5 sessions
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JU
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🔥 8 spots left!
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About
Each week, we'll cover a lesson and practice problems on a topic of AP Calculus BC, or Calc 2!
This series is targeted towards students who have taken Calculus AB or Calc 1, but any learners interested are welcome!
More sessions will be added to cover all content unique to AP Calc BC!
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Please message me if you are unable to make a session.
SESSION 1
18
Jun
SESSION 1
AP Calculus
AP Calculus
Wed 10:00 PM - 11:00 PM UTCJun 18, 10:00 PM - 11:00 PM UTC
Series Unit
Icebreakers, and a lesson and practice problems on infinite sequences and series! Topics:
- What is a series? What are sequences?
- What does it mean for a series to converge or diverge?
- Sums of finite sequences
- Infinite Geometric Series
- Testing for Convergence/Divergence
SESSION 2
20
Jun
SESSION 2
AP Calculus
AP Calculus
Fri 10:00 PM - 11:00 PM UTCJun 20, 10:00 PM - 11:00 PM UTC
Series Unit
Ways to test the convergence or divergence of infinite sequences and series!
Topics:
- nth term test
- Harmonic Series
- p-series
- Integral test
- Comparison tests
SESSION 3
25
Jun
SESSION 3
AP Calculus
AP Calculus
Wed 10:00 PM - 11:00 PM UTCJun 25, 10:00 PM - 11:00 PM UTC
Series Unit
More tests for convergence/divergence!
Topics:
- Ratio Test
- Alternating Series Test - What is Conditional and Absolute Convergence?
- What is a Power Series?
- Interval and radius of convergence for power series
- Integrating and Differentiating Power series
SESSION 4
27
Jun
SESSION 4
AP Calculus
AP Calculus
Fri 10:00 PM - 11:00 PM UTCJun 27, 10:00 PM - 11:00 PM UTC
Series Unit
Approximating a number using a series!
Topics:
- How can we approximate a value with an infinite series?
- What does the error of approximating a value mean?
- Lagrange Error Bound
- Alternating Series Error Bound
SESSION 5
2
Jul
SESSION 5
AP Calculus
AP Calculus
Wed 10:00 PM - 11:00 PM UTCJul 2, 10:00 PM - 11:00 PM UTC
Series Unit
Final lessons on series:
How can we represent a series with a polynomial?
Topics:
- Taylor polynomials
- Maclaurin polynomials