This series ended on August 11, 2023. All 1:1 and group chats related to this series are disabled 7 days after the last session.
Series Details
About
Welcome! Want to walk into AP Calculus AB confident and ready? Then this series is for you. Over the span of a few weeks, we will cover limits and continuity, differentiation, and integration. While we won't go in-depth, we will still be reviewing concepts and practicing problems from Khan Academy.
Solid algebra, geometry, and precalculus foundations are prerequisites. But even if you're not fully confident, there's no need to worry. This is a flexible series, and depending on where our learners are at, sessions may be adjusted. As we progress, more sessions will be added as planning is an ongoing process. Come prepared with something to write with as well.
This series will have a small group setting to be as effective as possible, so participation is highly encouraged.
Note: I achieved a 5/5 on the AP Exam and an A+ in the class this past year.
✋ ATTENDANCE POLICY
You are free to attend/skip whichever sessions you want, but you must let me know beforehand if you can't or won't attend. Learners who skip more than two sessions in a row without prior notice will be removed to allow room for other learners.
Dates
July 12 - August 11
Learners
10 / 15
Total Sessions
16
About the Tutor
CK
Hi there! I’m a rising senior in high school from Illinois, USA. I am passionate about helping others with all different kinds of learning styles to build firm math foundations and cultivate a love for learning.
View Caleb K's Profile
Upcoming Sessions
0
Past Sessions
16
12
Jul
O
Session 1
Orientation
The plan:
1. Introductions + icebreaker
2. Check-in quiz!
3. Calculus - what is it, and why?
4. Rules & expectations.
5. Preview content, discuss schedule, potential office hours, etc.
Note: the session may end early.
19
Jul
Lc
Session 2
Limits and continuity
So... what are limits anyway? Well, that's our question of the day. We'll be exploring what limits are, why we use them so much in calculus, and how we use them in calculus. Specifically, we'll be covering the limit definitions, notation, and estimating limits from tables and graphs. Then we'll do some practice problems! Be ready to participate and ask LOTS of questions. Also, come prepared with something to write with.
21
Jul
Lc
Session 3
Limits and continuity
An important concept in calculus is continuity, so we'll be diving into that today. We'll see how limits are used to define continuity, as well as types of discontinuities. At the end, we'll go over some practice problems to strengthen our knowledge. (if there's enough time, we'll also review infinite limits and important limit theorems)
23
Jul
OH
Session 4
Office Hours
I'll be here for anyone who has questions on anything that we've reviewed over the past sessions.
24
Jul
Dr
Session 5
Differentiation: definition and basic derivative rules
We'll be covering average rate of change and instantaneous rate of change (a.k.a. the derivative). This lesson will be largely based on the intuition of the definitions, so there will be no practice problems. But be ready to ask any questions that you may have, because it may be a lot to digest!
26
Jul
Dr
Session 6
Differentiation: definition and basic derivative rules
We'll be learning the basic rules of derivatives! This will be largely based on your memorization and be key to your success throughout the entire course in AP Calculus, so it's not a bad idea to start early and build a strong foundation.
28
Jul
Df
Session 7
Differentiation: composite, implicit, and inverse functions
The topic that we'll be covering in this session will be another crucial idea in calculus: the Chain Rule! While the concept itself is not overly complicated, it will be something that you want to master since you'll be using it quite frequently and because it will be tested.
4
Aug
Df
Session 8
Differentiation: composite, implicit, and inverse functions
In this lesson, we'll be briefly covering implicit differentiation, which means that instead of taking the derivatives of functions with the same variables as the variable that we're differentiating with respect to, we'll be differentiating expressions that have different variables from the variable that we're differentiating with respect to (so instead of d/dx (f(x)), it might be d/dt (f(x)). We'll also briefly dive into differentiating inverse functions at the end!
OH
Session 9
Office Hours
I’m here to address any questions about the content that was covered previously.
5
Aug
C
Session 10
Catchup
This session is for learners who were absent and need to get caught up to speed.
7
Aug
Cd
Session 11
Contextual applications of differentiation
In this lesson we'll be learning about how basic physics concepts like velocity, acceleration, and total distance will be used in AP Calc AB. We'll do this primarily by practicing so that we can get our toes wet and be more comfortable.
O
Session 12
Other
*Not mandatory!* This session serves as a space for review, office hours, or catchup for any learners who were absent over our past sessions. Feel free to come with any questions or concerns that you have, and I'll be happy to help you with them!
8
Aug
Af
Session 13
Applying derivatives to analyze functions
Today we'll be covering... *drumroll*... Mean Value Theorem! It's the meanest theorem you'll use in Calculus and, warning, it might make you cry. No, just kidding. It's actually pretty essential to know for the AP Test, so in this lesson you'll see it for the first time and for many more times to follow. As usual, we'll be going over practice problems together.
9
Aug
Ic
Session 14
Integration and accumulation of change
As expressed in the session title, today's content will cover integrals and Riemann Sums! I know, it sounds intimidating, but have no fear. We will tackle this together and be ready for when the time comes. Come prepared to learn and practice!
10
Aug
De
Session 15
Differential equations
We'll briefly cover differential equations and review some basic practice problems in this lesson! Nothing too heavy or serious.
11
Aug
O
Session 16
Other
Our last session is here already! Previously, this was set for Applications of Integration, but because of where we are at content-wise and with the school year starting for many of us, I changed it to a final session to wrap-up our series, ask any questions about AP Calc, offer feedback, and impart our good-byes. At the end there will be a small surprise. :D