AP Calculus AB Introduction

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AP Calculus AB Introduction

SAT Score Range

•

16 sessions

•

+10

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.

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).

Tutored by

Pranav I 🇺🇸

Certified in 2 topics

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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.

Schedule

✋ 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.

SESSION 1

10

Jun

SESSION 1

Orientation

Sat 3:15 PM - 3:35 PM UTCJun 10, 3:15 PM - 3:35 PM UTC

Brief overview of the series, expectations for attendance.

SESSION 2

11

Jun

SESSION 2

Limits and continuity

Sun 3:15 PM - 4:15 PM UTCJun 11, 3:15 PM - 4:15 PM UTC

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

SESSION 3

26

Jun

SESSION 3

Differentiation: definition and basic derivative rules

Mon 2:00 AM - 3:30 AM UTCJun 26, 2:00 AM - 3:30 AM UTC

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

27

Jun

SESSION 4

Differentiation: definition and basic derivative rules

Tue 2:00 PM - 3:30 PM UTCJun 27, 2:00 PM - 3:30 PM UTC

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

2

Jul

SESSION 5

Differentiation: composite, implicit, and inverse functions

Sun 3:15 PM - 4:30 PM UTCJul 2, 3:15 PM - 4:30 PM UTC

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

SESSION 6

9

Jul

SESSION 6

Review

Sun 3:15 PM - 4:15 PM UTCJul 9, 3:15 PM - 4:15 PM UTC

Review of Sessions 2 - 4.

SESSION 7

16

Jul

SESSION 7

Contextual applications of differentiation

Sun 3:15 PM - 4:15 PM UTCJul 16, 3:15 PM - 4:15 PM UTC

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

SESSION 8

23

Jul

SESSION 8

Applying derivatives to analyze functions

Sun 3:15 PM - 4:45 PM UTCJul 23, 3:15 PM - 4:45 PM UTC

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

SESSION 9

30

Jul

SESSION 9

Review

Sun 3:15 PM - 4:15 PM UTCJul 30, 3:15 PM - 4:15 PM UTC

Review of sessions 6-7.

SESSION 10

6

Aug

SESSION 10

Integration and accumulation of change

Sun 3:15 PM - 4:00 PM UTCAug 6, 3:15 PM - 4:00 PM UTC

Covers Fundamental Theorem of Calculus.

SESSION 11

9

Aug

SESSION 11

Differential equations

Wed 3:15 PM - 4:15 PM UTCAug 9, 3:15 PM - 4:15 PM UTC

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

SESSION 12

13

Aug

SESSION 12

Integration and accumulation of change

Sun 3:15 PM - 4:00 PM UTCAug 13, 3:15 PM - 4:00 PM UTC

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

SESSION 13

16

Aug

SESSION 13

Differential equations

Wed 3:15 PM - 4:15 PM UTCAug 16, 3:15 PM - 4:15 PM UTC

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

SESSION 14

20

Aug

SESSION 14

Applications of integration

Sun 3:15 PM - 4:45 PM UTCAug 20, 3:15 PM - 4:45 PM UTC

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

SESSION 15

27

Aug

SESSION 15

Applications of integration

Sun 3:45 PM - 4:45 PM UTCAug 27, 3:45 PM - 4:45 PM UTC

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

SESSION 16

3

Sep

SESSION 16

Review

Sun 3:15 PM - 4:30 PM UTCSep 3, 3:15 PM - 4:30 PM UTC

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

Public Discussion

Please log in to see discussion on this series.

Jun 10 - Sep 3

13 weeks

20 - 90 mins

/ session

SCHEDULE

Sundays

3:15PM