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Calculus BC Introduction: Limits and Derivatives

SAT Score Range

•

11 sessions

•

+2

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.

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.

Session 1: Limits and continuity

Session 2: Differentiation and the basic definition of a derivative

Session 3: Differentiation extended--chain rule and implicit differentiation

Session 4: Extending session 3 to differentiating inverse functions and inverse trig functions using chain rule and implicit differentiation

Session 4: Applications of derivatives--Rates of change, related rates, linearization, and L'Hopital's rule

Session 5: Analysis of functions through derivatives--extrema and concavity, calculating higher order derivatives

In between sessions will be office hours where learners can come for extra questions.

Tutored by

Noah K 🇺🇸

Certified in 2 topics

View Profile

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.

Schedule

✋ 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.

SESSION 1

28

Jul

SESSION 1

Limits and continuity

Limits and continuity

Sun 11:00 PM - Mon, 12:00 AM UTCJul 28, 11:00 PM - Jul 29, 12:00 AM UTC

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.
SESSION 2

29

Jul

SESSION 2

Office Hours

Office Hours

Mon 12:30 AM - 2:00 AM UTCJul 29, 12:30 AM - 2:00 AM UTC

I am available for additional questions or further understanding of the topics under limits and continuity.
SESSION 3

30

Jul

SESSION 3

Differentiation: definition and basic derivative rules

Differentiation: definition and basic derivative rules

Tue 11:00 PM - Wed, 12:00 AM UTCJul 30, 11:00 PM - Jul 31, 12:00 AM UTC

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.
SESSION 4

31

Jul

SESSION 4

Office Hours

Office Hours

Wed 1:00 AM - 1:30 AM UTCJul 31, 1:00 AM - 1:30 AM UTC

I am available for additional questions or further understanding of the topics under derivatives and basic differentiation.
SESSION 5

1

Aug

SESSION 5

Differentiation: composite, implicit, and inverse functions

Differentiation: composite, implicit, and inverse functions

Thu 11:00 PM - Fri, 12:00 AM UTCAug 1, 11:00 PM - Aug 2, 12:00 AM UTC

This session will cover chain rule and implicit differentiation.
SESSION 6

2

Aug

SESSION 6

Office Hours

Office Hours

Fri 12:30 AM - 1:00 AM UTCAug 2, 12:30 AM - 1:00 AM UTC

I am available for additional questions or further understanding of the topics under extended differentiation.
SESSION 7

2

Aug

SESSION 7

Differentiation: composite, implicit, and inverse functions

Differentiation: composite, implicit, and inverse functions

Fri 11:00 PM - 11:45 PM UTCAug 2, 11:00 PM - 11:45 PM UTC

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!
SESSION 8

3

Aug

SESSION 8

Contextual applications of differentiation

Contextual applications of differentiation

Sat 11:00 PM - Sun, 12:00 AM UTCAug 3, 11:00 PM - Aug 4, 12:00 AM UTC

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.
SESSION 9

4

Aug

SESSION 9

Office Hours

Office Hours

Sun 12:30 AM - 1:00 AM UTCAug 4, 12:30 AM - 1:00 AM UTC

I am available for additional questions or further understanding of the topics under applications of differentiation.
SESSION 10

5

Aug

SESSION 10

Applying derivatives to analyze functions

Applying derivatives to analyze functions

Mon 11:00 PM - Tue, 12:00 AM UTCAug 5, 11:00 PM - Aug 6, 12:00 AM UTC

This session will cover the mean value theorem, extrema and methods to find them, and concavity.
SESSION 11

6

Aug

SESSION 11

Office Hours

Office Hours

Tue 12:30 AM - 1:00 AM UTCAug 6, 12:30 AM - 1:00 AM UTC

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

Public Discussion

Please log in to see discussion on this series.

Jul 28 - Aug 6

2 weeks

30 - 90 mins

/ session