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.
Series Details
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.
✋ 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You are free to attend sessions on whichever topic you need the most help with (you will only be withdrawn if you do not participate for an entire week).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.
Dates
July 5 - July 30
Learners
29 / 30
Total Sessions
24
About the Tutor
SL
NL
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.
View Nicholas L's Profile
Upcoming Sessions
0
Past Sessions
24
5
Jul
O
Session 1
Orientation
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.
6
Jul
OT
Session 2
Other Topics
We will continue our discussion of limits by exploring one-sided limits, continuity, and limits at infinity.
7
Jul
OT
Session 3
Other Topics
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).
8
Jul
C
Session 4
Catchup
This will be a catchup session for anyone with additional questions or for anybody wanting to try more practice problems.
Dr
Session 5
Differentiation: definition and basic derivative rules
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.
9
Jul
R
Session 6
Review
This will be a review session to practice a variety of problems to master all of the skills we learned during the first week.
12
Jul
Df
Session 7
Differentiation: composite, implicit, and inverse functions
We will discuss using the chain rule and use it to derive the formula for calculating derivatives of inverse functions.
13
Jul
Df
Session 8
Differentiation: composite, implicit, and inverse functions
We will practice implicit differentiation and combine all of the derivative skills we've learned thus far to practice derivatives.
14
Jul
Cd
Session 9
Contextual applications of differentiation
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.
15
Jul
C
Session 10
Catchup
This will be a catchup session for anyone with additional questions or for anybody wanting to try more practice problems.
Cd
Session 11
Contextual applications of differentiation
We will explore L'Hospital's rule to solve more challenging limits.
16
Jul
R
Session 12
Review
This will be a review session to practice a variety of problems to master all of the skills we learned during the second week.
19
Jul
Af
Session 13
Applying derivatives to analyze functions
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.
20
Jul
Af
Session 14
Applying derivatives to analyze functions
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.
21
Jul
Ic
Session 15
Integration and accumulation of change
We will finally pivot away from derivatives and talk about antidifferentiation and Riemann sums.
22
Jul
C
Session 16
Catchup
This will be a catchup session for anyone with additional questions or for anybody wanting to try more practice problems.
Ic
Session 17
Integration and accumulation of change
We will connect Riemann sums and the Fundamental Theorem of Calculus for finding areas under curves.
23
Jul
R
Session 18
Review
This will be a review session to practice a variety of problems to master all of the skills we learned during the third week.
26
Jul
Ai
Session 19
Applications of integration
We will learn u-substitution and try a variety of practice problems to practice integration.
27
Jul
Ai
Session 20
Applications of integration
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.
28
Jul
De
Session 21
Differential equations
We will learn various techniques for finding the volume of solids through integration, including the shell and washer methods.
29
Jul
C
Session 22
Catchup
This will be a catchup session for anyone with additional questions or for anybody wanting to try more practice problems.
Ai
Session 23
Applications of integration
We will introduce differential equations, including how to verify solutions to them and how to employ them in various applications.
30
Jul
O
Session 24
Other
We will conclude this series with an activity to be announced.