AP Calc AB/BC
SAT Score Range
•
3 sessions
•
CS
SB
HA
+1
About
During each session we'll go over an important topic from the AP Calc AB/BC Curriculum in order to prepare for the class. If there are specific requests for topics, we can do those also.
Tutored by
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Please try not to miss any sessions, but if you do need to email your tutor!
SESSION 1
9
Aug
SESSION 1
AP Calculus
AP Calculus
Sat 3:00 PM - 4:30 PM UTCAug 9, 3:00 PM - 4:30 PM UTC
Topics from the unit: Analytical Applications of Differentiation
Topics:
Using the Mean Value Theorem
Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
Determining Intervals on Which a Function is Increasing or Decreasing
Using the First Derivative Test to Determine Relative Local Extrema
Using the Candidates Test to Determine Absolute (Global) Extrema
Determining Concavity of Functions over Their Domains
Using the Second Derivative Test to Determine Extrema
Sketching Graphs of Functions and Their Derivatives
Connecting a Function, Its First Derivative, and Its Second Derivative includes a revisit of particle motion and determining if a particle is speeding up/down.)
Introduction to Optimization Problems
SESSION 2
10
Aug
SESSION 2
AP Calculus
AP Calculus
Sun 3:00 PM - 4:30 PM UTCAug 10, 3:00 PM - 4:30 PM UTC
Topics from the unit: Contextual Applications of Derivatives
Topics:
Interpreting the Meaning of the Derivative in Context
Straight-Line Motion: Connecting Position, Velocity, and Acceleration
Rates of Change in Applied Contexts Other Than Motion
Introduction to Related Rates
Approximating Values of a Function Using Local Linearity and Linearization
Using L'Hopital's Rule for Determining Limits of Indeterminate Forms
SESSION 3
16
Aug
SESSION 3
AP Calculus
AP Calculus
Sat 3:00 PM - 4:30 PM UTCAug 16, 3:00 PM - 4:30 PM UTC
Topics from the unit: Differentiation Composite, Implicit, and Inverse Functions
Topics:
Chain Rule
Implicit Differentiation
Differentiating Inverse Functions
Differentiating Inverse Trig Functions
Higher Order Derivatives