AP Calculus AB
SAT Score Range
•
4 sessions
•
SK
JW
SC
+1
This series was cancelled by the tutor on July 25, 2024. We're very sorry–you can explore more Calculus series here. All 1:1 and group chats related to this series are disabled 7 days after the last session.
About
Goes over everything needed for AP Calculus AB. Spans 14 sessions, and was initially taylored to one person but others can join as well.
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Schedule
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Try to be here as often as possible. If you miss a day, contact me and I'll get you resources to review before the next session.
SESSION 1
11
Jul
SESSION 1
Limits and continuity
Limits and continuity
Thu 8:45 PM - 9:45 PM UTCJul 11, 8:45 PM - 9:45 PM UTC
Structure of Sessions
1.2 - How is a limit different from the value of a function?
1.3 - Can you estimate a limit from a table of values?
1.4 - Can you determine limits graphically?
1.5 - What’s a one-sided limit?
1.6 - Can you determine limits using algebra?
1.7 - Can you figure out techniques of solving for limits?
1.8 - Can you find limits using the squeeze theorem?
1.9 - Can you select procedures for evaluating limits efficiently?
1.10 - What types of discontinuities can occur?
1.11 - What are the conditions for continuity?
1.12 - Can you justify continuity over an interval?
1.13 - What’s a removable discontinuity?
1.14 - How do we find limits at vertical asymptotes?
1.15 - How do we find limits at infinity?
SESSION 2
16
Jul
SESSION 2
Differentiation: definition and basic derivative rules
Differentiation: definition and basic derivative rules
Tue 8:45 PM - 9:45 PM UTCJul 16, 8:45 PM - 9:45 PM UTC
1.1 - How do we find instantaneous rate of change?
2.1 - What’s the limit definition of a derivative?
2.2 - How do we solve the limit form of a derivative?
2.3 - How can we estimate derivatives?
2.4 - What’s the definition of differentiability?
2.5 - What’s the power rule?
2.6 - How do we differentiate a function with multiple components?
2.7 - What are the derivatives for sin(x), cos(x), ex, and ln(x)?
2.8 - What is the product rule?
2.9 - What is the quotient rule?
2.10 - What are the derivatives of all other trig functions?
SESSION 3
18
Jul
SESSION 3
Differentiation: composite, implicit, and inverse functions
Differentiation: composite, implicit, and inverse functions
Thu 8:45 PM - 9:45 PM UTCJul 18, 8:45 PM - 9:45 PM UTC
3.1 - When is the chain rule applied?
3.2 - How can we implicitly derive equations with inseparable y and x terms?
3.3 - What is the definition of a derivative of an inverse function?
3.4 - What are the derivatives of all inverse trig functions?
3.5 - Can you select procedures for evaluating derivatives efficiently?
3.6 - How do we find 2nd, or 3rd order derivatives?
SESSION 4
23
Jul
SESSION 4
Contextual applications of differentiation
Contextual applications of differentiation
Tue 8:45 PM - 9:45 PM UTCJul 23, 8:45 PM - 9:45 PM UTC
4.1 and 4.3 - What does the derivative mean in context?
4.2 - What about in the context of physics?
4.4 and 4.5 - How can we solve related rates problems?
4.6 - How can we approximate values of a function using tangent lines?
4.7 - When is it appropriate to apply L’hospital’s rule?