AP Calculus AB
SAT Score Range
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10 sessions
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SZ
KH
DA
+6
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🔥 1 spot left!
About
Hi, I scored a 5 on my AP Calculus exam and am currently a Multivariable calculus student. I will be covering the first five units of AP Calculus: Limits and continuity, Differentiation: Definition and Fundamental Properties, Composite, Implicit, and Inverse Functions, Contextual Applications of Differentiation, and Analytical Applications of Differentiation.
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SESSION 6
10
Dec
SESSION 6
AP Calculus
AP Calculus
Wed 9:30 PM - 10:30 PM UTCDec 10, 9:30 PM - 10:30 PM UTC
Lesson 6: Product, Quotient, and Chain Rule
Objectives:
Apply advanced derivative rules to complex expressions.
Differentiate trig variants like tan, sec, csc.
Topics:
2.8 Product rule
2.9 Quotient rule
2.10 Derivatives of tan, cot, sec, csc
2.10 Chain rule (start)
Practice Focus: Multi-step derivative problems; chain rule practice.
SESSION 7
12
Dec
SESSION 7
AP Calculus
AP Calculus
Fri 9:30 PM - 10:30 PM UTCDec 12, 9:30 PM - 10:30 PM UTC
Lesson 7: Implicit Differentiation & Inverses
Objectives:
Differentiate implicit functions.
Find derivatives of inverse and inverse trig functions.
Topics:
3.2 Implicit differentiation
3.3 Inverse functions
3.4 Inverse trig derivatives
3.5 Selecting derivative procedures
3.6 Higher-order derivatives
Practice Focus: Implicit relations; d²y/dx²; inverse trig differentiation.
SESSION 8
16
Dec
SESSION 8
AP Calculus
AP Calculus
Tue 9:30 PM - 10:30 PM UTCDec 16, 9:30 PM - 10:30 PM UTC
Lesson 8: Applications: Related Rates & Linearization
Objectives:
Solve related rates word problems step-by-step.
Use linearization to approximate values.
Topics:
4.3 Applied rates of change
4.4 Intro to related rates
4.5 Solving related rates problems
4.6 Local linearity & linearization
4.7 L'Hospital’s Rule (intro only)
Practice Focus: Related rates diagrams; tangent line approximations; L'Hospital’s problems.
SESSION 9
17
Dec
SESSION 9
AP Calculus
AP Calculus
Wed 9:30 PM - 10:30 PM UTCDec 17, 9:30 PM - 10:30 PM UTC
Lesson 9: Analyzing Functions Using Derivatives
Objectives:
Use derivatives to analyze function behavior.
Identify extrema and concavity.
Topics:
5.1 Mean Value Theorem
5.2 EVT & critical points
5.3 Intervals of increase/decrease
5.4 First derivative test
5.5 Candidates test for extrema
5.6 Concavity
5.7 Second derivative test
5.8 Sketching graphs
5.9 Connecting f, f’, f’’
Practice Focus: Sign charts, full graph-sketching, extrema identification.
SESSION 10
19
Dec
SESSION 10
AP Calculus
AP Calculus
Fri 9:30 PM - 10:30 PM UTCDec 19, 9:30 PM - 10:30 PM UTC
Lesson 10: Optimization & Final Connections
Objectives:
Solve optimization problems.
Understand behaviors of implicit relations.
Connect all major derivative concepts.
Topics:
5.10 Intro to optimization
5.11 Solving optimization problems
5.12 Behavior of implicit relations
Practice Focus: Word problems; geometry optimization; final review.