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Calculus • Series

AP Calculus AB Introduction

Pranav I

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

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

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.

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Past Sessions

16
10
Jun

Session 1

Orientation

Brief overview of the series, expectations for attendance.
11
Jun

Session 2

Limits and continuity

Covers basics of evaluating and estimating limits, as well as continuity and types of discontinuities.
26
Jun

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.
27
Jun

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.
2
Jul

Session 5

Differentiation: composite, implicit, and inverse functions

Covers chain rule and implicit differentiation, as well as the derivatives of inverse trig functions.
9
Jul

Session 6

Review

Review of Sessions 2 - 4.
16
Jul

Session 7

Contextual applications of differentiation

Covers related rates problems, local linear approximations, and L'Hopital's rule.
23
Jul

Session 8

Applying derivatives to analyze functions

Covers Mean Value Theorem, Extreme Value Theorem, First and Second Derivative Tests, and optimization problems.
30
Jul

Session 9

Review

Review of sessions 6-7.
6
Aug

Session 10

Integration and accumulation of change

Covers Fundamental Theorem of Calculus.
9
Aug

Session 11

Differential equations

Covers slope fields and solving differential equations using separation of variables.
13
Aug

Session 12

Integration and accumulation of change

Covers u - substitution and other forms of integrating with substitution.
16
Aug

Session 13

Differential equations

Covers slope fields and solving differential equations using separation of variables.
20
Aug

Session 14

Applications of integration

Covers average value of a function, particle motion, and area between two curves.
27
Aug

Session 15

Applications of integration

Covers volumes of solids formed by rotating or taking cross-sections of curves.
3
Sep

Session 16

Review

Review of entire series with particular focus on sessions 9-13.