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Calculus • Series

Calculus BC Introduction: Limits and Derivatives

Noah K

Series Details

Sessions

Public Discussion

This series ended on August 6, 2024. All 1:1 and group chats related to this series are disabled 7 days after the last session.

Series Details

About

The series will cover an introduction for those intending to take Calculus BC in the coming school year, mainly focusing on limits and its connection to derivatives.
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Session 1: Limits and continuity
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Session 2: Differentiation and the basic definition of a derivative
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Session 3: Differentiation extended--chain rule and implicit differentiation
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Session 4: Extending session 3 to differentiating inverse functions and inverse trig functions using chain rule and implicit differentiation
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Session 4: Applications of derivatives--Rates of change, related rates, linearization, and L'Hopital's rule
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Session 5: Analysis of functions through derivatives--extrema and concavity, calculating higher order derivatives
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In between sessions will be office hours where learners can come for extra questions.

✋ ATTENDANCE POLICY

You are encouraged to attend all sessions since content will be building on previous sessions, but you are free to attend/skip whichever sessions you want.

Dates

July 28 - August 6

Learners

5 / 10

Total Sessions

About the Tutor

Hello! I am a high school student from Illinois, and I'm comfortable with math topics up to AP Calculus BC and the SAT Math portion. I enjoy constructing Metal Earth models, reading up on philosophy and theology, and taking aggressive positions on shorts and options.

View Noah K's Profile

Upcoming Sessions

Past Sessions

Jul

Session 1

Limits and continuity

Sun Jul 28, 11:00 PM

The session will cover a fundamental intuition of limits, limit notation, determining limits through algebraic properties and manipulation and squeeze theorem, types of discontinuities, asymptotes, and the intermediate value theorem.

Jul

Session 2

Office Hours

Mon Jul 29, 12:30 AM

I am available for additional questions or further understanding of the topics under limits and continuity.

Jul

Session 3

Differentiation: definition and basic derivative rules

Tue Jul 30, 11:00 PM

This session will cover a fundamental understanding of the derivative (through average and instantaneous rate of change), basic differentiation (power, product, and quotient rule), and the derivatives of trigonometric functions.

Jul

Session 4

Office Hours

Wed Jul 31, 1:00 AM

I am available for additional questions or further understanding of the topics under derivatives and basic differentiation.

Aug

Session 5

Differentiation: composite, implicit, and inverse functions

Thu Aug 1, 11:00 PM

This session will cover chain rule and implicit differentiation.

Aug

Session 6

Office Hours

Fri Aug 2, 12:30 AM

I am available for additional questions or further understanding of the topics under extended differentiation.

Session 7

Differentiation: composite, implicit, and inverse functions

Fri Aug 2, 11:00 PM

We shall strive to understand the process of differentiating inverse functions and inverse trig functions! No office hours for today, but shoot me a message or post a public message on the series page and I'll be more than happy to host one!

Aug

Session 8

Contextual applications of differentiation

Sat Aug 3, 11:00 PM

This session will cover an understanding of derivatives in word problems, applications of derivatives in velocity and acceleration, related rates and L'Hopital's rule.

Aug

Session 9

Office Hours

Sun Aug 4, 12:30 AM

I am available for additional questions or further understanding of the topics under applications of differentiation.

Aug

Session 10

Applying derivatives to analyze functions

Mon Aug 5, 11:00 PM

This session will cover the mean value theorem, extrema and methods to find them, and concavity.

Aug

Session 11

Office Hours

Tue Aug 6, 12:30 AM

I am available for additional questions or further understanding of the topics under the analysis of functions through derivatives.

Public Discussion

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