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Fundamentals of Calculus

SAT Score Range

•

24 sessions

•

+26

This series ended on July 30, 2021. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

This session will cover all of the key concepts in Calculus AB, from limits to integrals, while seeking to understand what we are doing rather than just how to do it. This session is best for those reviewing calculus, though those just learning it are welcome to join. By the end of this session, you will be able to complete the Course Challenge for Calculus AB on Khan Academy.

Tutored by

Nicholas L 🇺🇸

Certified in 13 topics

View Profile

I am a high school student in Long Beach, California who loves calculus, physics, and statistics. I genuinely believe that anyone can learn learn challenging topics like calculus and look forward to helping you on your math journey! When I attend university, I want to major in Aerospace or Mechanical Engineering and love to mess around with engineering projects in my free time.

Schedule

✋ ATTENDANCE POLICY

You are free to attend sessions on whichever topic you need the most help with (you will only be withdrawn if you do not participate for an entire week). However, please note that Calculus is cumulative, so if you struggle with an earlier topic, you will probably struggle with later topics.

SESSION 1

5

Jul

SESSION 1

Orientation

Orientation

Mon 11:00 PM - Tue, 12:10 AM UTCJul 5, 11:00 PM - Jul 6, 12:10 AM UTC

We will start off by familiarizing ourselves with the cohort and overview the topics which we will be discussing. With the time remaining, we will dive into calculus by discussing what limits are and basic limit laws.
SESSION 2

6

Jul

SESSION 2

Other Topics

Other Topics

Tue 11:00 PM - Wed, 12:10 AM UTCJul 6, 11:00 PM - Jul 7, 12:10 AM UTC

We will continue our discussion of limits by exploring one-sided limits, continuity, and limits at infinity.
SESSION 3

7

Jul

SESSION 3

Other Topics

Other Topics

Wed 11:00 PM - Thu, 12:10 AM UTCJul 7, 11:00 PM - Jul 8, 12:10 AM UTC

Using what we learned about limits, we will derive the definition of a derivative and practice calculating derivatives using basic derivative laws (power, sum, difference).
SESSION 4

8

Jul

SESSION 4

Catchup

Catchup

Thu 12:30 AM - 1:00 AM UTCJul 8, 12:30 AM - 1:00 AM UTC

This will be a catchup session for anyone with additional questions or for anybody wanting to try more practice problems.
SESSION 5

8

Jul

SESSION 5

Differentiation: definition and basic derivative rules

Differentiation: definition and basic derivative rules

Thu 11:00 PM - Fri, 12:10 AM UTCJul 8, 11:00 PM - Jul 9, 12:10 AM UTC

We will delve into more derivative rules, including the product/quotient rules, and use them to calculate the derivatives of various trigonometric functions. We will also calculate high-order derivatives.
SESSION 6

9

Jul

SESSION 6

Review

Review

Fri 11:00 PM - Sat, 12:00 AM UTCJul 9, 11:00 PM - Jul 10, 12:00 AM UTC

This will be a review session to practice a variety of problems to master all of the skills we learned during the first week.
SESSION 7

12

Jul

SESSION 7

Differentiation: composite, implicit, and inverse functions

Differentiation: composite, implicit, and inverse functions

Mon 11:00 PM - Tue, 12:10 AM UTCJul 12, 11:00 PM - Jul 13, 12:10 AM UTC

We will discuss using the chain rule and use it to derive the formula for calculating derivatives of inverse functions.
SESSION 8

13

Jul

SESSION 8

Differentiation: composite, implicit, and inverse functions

Differentiation: composite, implicit, and inverse functions

Tue 11:00 PM - Wed, 12:10 AM UTCJul 13, 11:00 PM - Jul 14, 12:10 AM UTC

We will practice implicit differentiation and combine all of the derivative skills we've learned thus far to practice derivatives.
SESSION 9

14

Jul

SESSION 9

Contextual applications of differentiation

Contextual applications of differentiation

Wed 11:00 PM - Thu, 12:10 AM UTCJul 14, 11:00 PM - Jul 15, 12:10 AM UTC

We will apply all of the derivative formulas we've learned to solve a variety of word problems involving related rates and position/velocity/acceleration. By the end of this session, you will be able to set up and solve derivatives based on word problems.
SESSION 10

15

Jul

SESSION 10

Catchup

Catchup

Thu 12:30 AM - 1:00 AM UTCJul 15, 12:30 AM - 1:00 AM UTC

This will be a catchup session for anyone with additional questions or for anybody wanting to try more practice problems.
SESSION 11

15

Jul

SESSION 11

Contextual applications of differentiation

Contextual applications of differentiation

Thu 11:00 PM - Fri, 12:10 AM UTCJul 15, 11:00 PM - Jul 16, 12:10 AM UTC

We will explore L'Hospital's rule to solve more challenging limits.
SESSION 12

16

Jul

SESSION 12

Review

Review

Fri 11:00 PM - Sat, 12:00 AM UTCJul 16, 11:00 PM - Jul 17, 12:00 AM UTC

This will be a review session to practice a variety of problems to master all of the skills we learned during the second week.
SESSION 13

19

Jul

SESSION 13

Applying derivatives to analyze functions

Applying derivatives to analyze functions

Mon 11:00 PM - Tue, 12:10 AM UTCJul 19, 11:00 PM - Jul 20, 12:10 AM UTC

I hope that you're not tired of derivatives yet because we will continue to apply derivatives through the Mean Value Theorem, the Increasing/Decreasing test, and the First Derivative Test.
SESSION 14

20

Jul

SESSION 14

Applying derivatives to analyze functions

Applying derivatives to analyze functions

Tue 11:00 PM - Wed, 12:10 AM UTCJul 20, 11:00 PM - Jul 21, 12:10 AM UTC

We will continue to explore how derivatives relate to the graph of a function by applying the Extreme Value Theorem, the Second Derivative Test, and concavity.
SESSION 15

21

Jul

SESSION 15

Integration and accumulation of change

Integration and accumulation of change

Wed 11:00 PM - Thu, 12:10 AM UTCJul 21, 11:00 PM - Jul 22, 12:10 AM UTC

We will finally pivot away from derivatives and talk about antidifferentiation and Riemann sums.
SESSION 16

22

Jul

SESSION 16

Catchup

Catchup

Thu 12:30 AM - 1:00 AM UTCJul 22, 12:30 AM - 1:00 AM UTC

This will be a catchup session for anyone with additional questions or for anybody wanting to try more practice problems.
SESSION 17

22

Jul

SESSION 17

Integration and accumulation of change

Integration and accumulation of change

Thu 11:00 PM - Fri, 12:10 AM UTCJul 22, 11:00 PM - Jul 23, 12:10 AM UTC

We will connect Riemann sums and the Fundamental Theorem of Calculus for finding areas under curves.
SESSION 18

23

Jul

SESSION 18

Review

Review

Fri 11:00 PM - Sat, 12:00 AM UTCJul 23, 11:00 PM - Jul 24, 12:00 AM UTC

This will be a review session to practice a variety of problems to master all of the skills we learned during the third week.
SESSION 19

26

Jul

SESSION 19

Applications of integration

Applications of integration

Mon 11:00 PM - Tue, 12:10 AM UTCJul 26, 11:00 PM - Jul 27, 12:10 AM UTC

We will learn u-substitution and try a variety of practice problems to practice integration.
SESSION 20

27

Jul

SESSION 20

Applications of integration

Applications of integration

Tue 11:00 PM - Wed, 12:10 AM UTCJul 27, 11:00 PM - Jul 28, 12:10 AM UTC

We will discuss techniques for applying integrals in various contexts. By the end of this session, you will be able to set up integrals for the area between curves and to find the average value of a function.
SESSION 21

28

Jul

SESSION 21

Differential equations

Differential equations

Wed 11:00 PM - Thu, 12:10 AM UTCJul 28, 11:00 PM - Jul 29, 12:10 AM UTC

We will learn various techniques for finding the volume of solids through integration, including the shell and washer methods.
SESSION 22

29

Jul

SESSION 22

Catchup

Catchup

Thu 12:30 AM - 1:00 AM UTCJul 29, 12:30 AM - 1:00 AM UTC

This will be a catchup session for anyone with additional questions or for anybody wanting to try more practice problems.
SESSION 23

29

Jul

SESSION 23

Applications of integration

Applications of integration

Thu 11:00 PM - Fri, 12:10 AM UTCJul 29, 11:00 PM - Jul 30, 12:10 AM UTC

We will introduce differential equations, including how to verify solutions to them and how to employ them in various applications.
SESSION 24

30

Jul

SESSION 24

Other

Other

Fri 11:00 PM - 11:40 PM UTCJul 30, 11:00 PM - 11:40 PM UTC

We will conclude this series with an activity to be announced.

Public Discussion

Please log in to see discussion on this series.

Jul 5 - Jul 30

4 weeks

30 - 70 mins

/ session

SCHEDULE

Mondays

11:00PM

Tuesdays

11:00PM

Wednesdays

11:00PM

Thursdays

12:30AM

Thursdays

11:00PM

Fridays

11:00PM