This series ended on September 3, 2023. All 1:1 and group chats related to this series are disabled 7 days after the last session.
Series Details
About
This series will provide an introduction to each of the units of the AP Calculus AB curriculum in preparation for the upcoming school year. It will be quite fast-paced in order to cover the entire course, and it is not expected that learners will fully understand everything. The goal is for learners to be familiar with concepts that they will be exposed to during the school year. The series will assume a solid foundation in precalculus, but no prior knowledge of calculus is required. Sessions will be on Sundays with occasional Wednesday sessions at 3:15 PM GMT (11:15 AM EST, 8:45 PM IST, 4:15 PM BST).
✋ ATTENDANCE POLICY
Missing two sessions in a row will set you back due to the fast-paced nature of the series, so please try to make every session. If you will not be present, please message me so I can send you the materials that we covered.
Dates
June 10 - September 3
Learners
15 / 20
Total Sessions
16
About the Tutor
Hello everyone, my name is Pranav. I'm a high school student from California who loves helping people learn and solve problems! In my free time, I play piano and cello and I am an avid baseball fan.
Upcoming Sessions
Past Sessions
Session 1
Orientation
Brief overview of the series, expectations for attendance.
Session 2
Limits and continuity
Covers basics of evaluating and estimating limits, as well as continuity and types of discontinuities.
Session 3
Differentiation: definition and basic derivative rules
Covers average rate of change, estimating derivatives, the limit definition of the derivative, when derivatives do not exist, power rule, product and quotient rules, and trig derivatives.
Session 4
Differentiation: definition and basic derivative rules
Covers average rate of change, estimating derivatives, the limit definition of the derivative, when derivatives do not exist, power rule, product and quotient rules, and trig derivatives.
Session 5
Differentiation: composite, implicit, and inverse functions
Covers chain rule and implicit differentiation, as well as the derivatives of inverse trig functions.
Session 6
Review
Review of Sessions 2 - 4.
Session 7
Contextual applications of differentiation
Covers related rates problems, local linear approximations, and L'Hopital's rule.
Session 8
Applying derivatives to analyze functions
Covers Mean Value Theorem, Extreme Value Theorem, First and Second Derivative Tests, and optimization problems.
Session 9
Review
Review of sessions 6-7.
Session 10
Integration and accumulation of change
Covers Fundamental Theorem of Calculus.
Session 11
Differential equations
Covers slope fields and solving differential equations using separation of variables.
Session 12
Integration and accumulation of change
Covers u - substitution and other forms of integrating with substitution.
Session 13
Differential equations
Covers slope fields and solving differential equations using separation of variables.
Session 14
Applications of integration
Covers average value of a function, particle motion, and area between two curves.
Session 15
Applications of integration
Covers volumes of solids formed by rotating or taking cross-sections of curves.
Session 16
Review
Review of entire series with particular focus on sessions 9-13.