AP Calculus AB Part 2: Integration
SAT Score Range
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4 sessions
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DC
EY
This series ended on December 29, 2024. All 1:1 and group chats related to this series are disabled 7 days after the last session.
About
Each session, we will cover one essential topic of the Calc AB integration section.
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Schedule
✋ ATTENDANCE POLICY
You will be withdrawn from the series if you have more than 2 unexcused absences in a row. Please message the tutor in advance for any absences!
SESSION 1
24
Dec
SESSION 1
AP Calculus
AP Calculus
Tue 8:00 PM - 9:00 PM UTCDec 24, 8:00 PM - 9:00 PM UTC
Unit 5 - Analytical Applications of Differentiation:
Extreme Value Theorem
Increasing/Decreasing functions
First Derivative Test
Concavity and Second Derivative Test
Optimization problems (finding maximum/minimum values)
Related Rates problems
SESSION 2
26
Dec
SESSION 2
AP Calculus
AP Calculus
Thu 8:00 PM - 9:00 PM UTCDec 26, 8:00 PM - 9:00 PM UTC
Unit 6 - Integration and Accumulation of Change:
Antiderivatives and indefinite integrals
Fundamental Theorem of Calculus
Definite integrals
Riemann sums (left, right, midpoint)
Average value of a function
SESSION 3
27
Dec
SESSION 3
AP Calculus
AP Calculus
Fri 7:00 PM - 8:00 PM UTCDec 27, 7:00 PM - 8:00 PM UTC
Unit 7 - Differential Equations:
Separable differential equations
Slope fields
Euler's method (numerical approximation)
Basic applications of differential equations (population growth, radioactive decay)
SESSION 4
29
Dec
SESSION 4
AP Calculus
AP Calculus
Sun 12:00 AM - 1:00 AM UTCDec 29, 12:00 AM - 1:00 AM UTC
Unit 8 - Applications of Integration:
Area between curves
Volume of solids (disc method, washer method, cross-sections)
Arc length
Work and fluid pressure
Average value of a function over an interval