Review AB + prep BC with a 5-scorer
SAT Score Range
•
10 sessions
•
Rj
BT
AH
+1
•
🔥 6 spots left!
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About
This course is for someone who has already taken Calc AB and plan to take Calc BC. We will go over every unit of Calc AB and BC in the order set by the Khan Academy Calc courses.
Syllabus:
AB Review
Unit 1: Limits and continuity
Unit 2: Differentiation: definition and basic derivative rules
Unit 3: Differentiation: composite, implicit, and inverse functions
Unit 4: Contextual applications of differentiation
Unit 5: Applying derivatives to analyze functions
Unit 6: Integration and accumulation of change
Unit 7: Differential equations
Unit 8: Applications of integration
BC PREP:
Unit 9: Parametric equations, polar coordinates, and vector-valued functions
Unit 10: Infinite sequences and series
Things we do per session:
- Review the topics that we are still struggling with in the unit to fill in any previous knowledge gaps.
- Do practice questions related to these topics
- Do the unit test for a more holistic review if we have extra time
- Go over AP exam tips and tricks related to each unit (graphing calculator tips, AP exam question stereotypes, etc.)
Come to each session with scratch papers, papers to take notes on, and specific questions if you have any!
✋ ATTENDANCE POLICY
Message me AHEAD of the session times if you can't make it. If you have 2 unexcused absences in a row without valid reasons, you will be withdrawn from the series.
SESSION 1
30
Jun
SESSION 1
Limits and continuity
Limits and continuity
Mon 2:00 AM - 4:00 AM UTCJun 30, 2:00 AM - 4:00 AM UTC
Unit 1: Limits and continuity
- Limits
- Continuities & Discontinuities
- Squeeze Theorem
- Intermediate value theorem
SESSION 2
7
Jul
SESSION 2
Differentiation: definition and basic derivative rules
Differentiation: definition and basic derivative rules
Mon 2:00 AM - 4:00 AM UTCJul 7, 2:00 AM - 4:00 AM UTC
Unit 2: Differentiation: definition and basic derivative rules
- average and instantaneous rates of change
- derivative rules
- differentiability and continuity
- estimating derivatives
SESSION 3
14
Jul
SESSION 3
Differentiation: composite, implicit, and inverse functions
Differentiation: composite, implicit, and inverse functions
Mon 2:00 AM - 4:00 AM UTCJul 14, 2:00 AM - 4:00 AM UTC
Unit 3: Differentiation: composite, implicit, and inverse functions
- Chain rule
- implicit differentiation
- more derivative rules (eg. inverse trig functions)
SESSION 4
21
Jul
SESSION 4
Contextual applications of differentiation
Contextual applications of differentiation
Mon 2:00 AM - 4:00 AM UTCJul 21, 2:00 AM - 4:00 AM UTC
Unit 4: Contextual applications of differentiation
- meaning of derivatives in context / word problems
- straight-line motion
- rate of change
- related rates
- L'Hopital's rule
SESSION 5
28
Jul
SESSION 5
Applying derivatives to analyze functions
Applying derivatives to analyze functions
Mon 2:00 AM - 4:00 AM UTCJul 28, 2:00 AM - 4:00 AM UTC
Unit 5: Applying derivatives to analyze functions
- mean value theorem
- local extrema and critical points
- concavity using 2nd derivatives
- sketch the curves
- optimization
SESSION 6
4
Aug
SESSION 6
Integration and accumulation of change
Integration and accumulation of change
Mon 2:00 AM - 4:00 AM UTCAug 4, 2:00 AM - 4:00 AM UTC
Unit 6: Integration and accumulation of change
- Riemann sums
- fundamental theorem of calculus and accumulation functions
- definite integrals
- antiderivatives
- u-sub in integration
- integration using long division
SESSION 7
11
Aug
SESSION 7
Differential equations
Differential equations
Mon 2:00 AM - 4:00 AM UTCAug 11, 2:00 AM - 4:00 AM UTC
Unit 7: Differential equations
- modeling with differential equations
- slope fields
- separation of variables
- exponential models
SESSION 8
18
Aug
SESSION 8
Applications of integration
Applications of integration
Mon 2:00 AM - 4:00 AM UTCAug 18, 2:00 AM - 4:00 AM UTC
Unit 8: Applications of integration
- average value of a function
- position, velocity, and acceleration functions
- area between curves
- volumes with cross sections
- disc and washer methods for volume
SESSION 9
25
Aug
SESSION 9
Parametric equations, polar coordinates, and vector-valued functions
Parametric equations, polar coordinates, and vector-valued functions
Mon 2:00 AM - 4:00 AM UTCAug 25, 2:00 AM - 4:00 AM UTC
PREVIEW OF BC
Unit 9: Parametric equations, polar coordinates, and vector-valued functions
- parametric equations
- arc length of curves
- vector valued functions
- area of polar curves
SESSION 10
1
Sep
SESSION 10
Infinite sequences and series
Infinite sequences and series
Mon 2:00 AM - 4:00 AM UTCSep 1, 2:00 AM - 4:00 AM UTC
PREVIEW OF BC
Unit 10: Infinite sequences and series
- convergent and divergent infinite series
- tests for convergence and divergence
- Alternating series error bound
- Lagrange error bound
- radius and interval of convergence
- functions as power series