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Series Details
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.
✋ ATTENDANCE POLICY
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.
Dates
July 11 - July 23
Learners
4 / 5
Total Sessions
4
About the Tutor
BL
WB
Yo, I'm a junior that's a chess and basketball enthusiast. I'm also a good source for single variable calculus or general chemistry. Currently studying several subjects: organic chemistry; calculus-based physics; differential equations; linear algebra; multivariable calculus; etc.
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Upcoming Sessions
0
Past Sessions
4
11
Jul
Lc
Session 1
Limits and continuity
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?
16
Jul
Dr
Session 2
Differentiation: definition and basic derivative rules
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?
18
Jul
Df
Session 3
Differentiation: composite, implicit, and inverse functions
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?
23
Jul
Cd
Session 4
Contextual applications of differentiation
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?