AP Calc AB Foundations
SAT Score Range
•
16 sessions
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TC
AV
SH
+7
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.
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.
Tutored by
Schedule
✋ 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.
SESSION 1
12
Jul
SESSION 1
Orientation
Orientation
Wed 8:00 PM - 8:30 PM UTCJul 12, 8:00 PM - 8:30 PM UTC
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.
SESSION 2
19
Jul
SESSION 2
Limits and continuity
Limits and continuity
Wed 3:00 PM - 4:00 PM UTCJul 19, 3:00 PM - 4:00 PM UTC
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.
SESSION 3
21
Jul
SESSION 3
Limits and continuity
Limits and continuity
Fri 3:00 PM - 4:00 PM UTCJul 21, 3:00 PM - 4:00 PM UTC
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)
SESSION 4
23
Jul
SESSION 4
Office Hours
Office Hours
Sun 2:00 PM - 3:00 PM UTCJul 23, 2:00 PM - 3:00 PM UTC
I'll be here for anyone who has questions on anything that we've reviewed over the past sessions.
SESSION 5
24
Jul
SESSION 5
Differentiation: definition and basic derivative rules
Differentiation: definition and basic derivative rules
Mon 3:00 PM - 4:00 PM UTCJul 24, 3:00 PM - 4:00 PM UTC
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!
SESSION 6
26
Jul
SESSION 6
Differentiation: definition and basic derivative rules
Differentiation: definition and basic derivative rules
Wed 3:00 PM - 4:00 PM UTCJul 26, 3:00 PM - 4:00 PM UTC
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.
SESSION 7
28
Jul
SESSION 7
Differentiation: composite, implicit, and inverse functions
Differentiation: composite, implicit, and inverse functions
Fri 3:00 PM - 4:00 PM UTCJul 28, 3:00 PM - 4:00 PM UTC
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.
SESSION 8
4
Aug
SESSION 8
Differentiation: composite, implicit, and inverse functions
Differentiation: composite, implicit, and inverse functions
Fri 3:00 PM - 4:00 PM UTCAug 4, 3:00 PM - 4:00 PM UTC
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!
SESSION 9
4
Aug
SESSION 9
Office Hours
Office Hours
Fri 8:00 PM - 9:00 PM UTCAug 4, 8:00 PM - 9:00 PM UTC
I’m here to address any questions about the content that was covered previously.
SESSION 10
5
Aug
SESSION 10
Catchup
Catchup
Sat 8:00 PM - 9:00 PM UTCAug 5, 8:00 PM - 9:00 PM UTC
This session is for learners who were absent and need to get caught up to speed.
SESSION 11
7
Aug
SESSION 11
Contextual applications of differentiation
Contextual applications of differentiation
Mon 3:00 PM - 4:00 PM UTCAug 7, 3:00 PM - 4:00 PM UTC
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.
SESSION 12
7
Aug
SESSION 12
Other
Other
Mon 6:00 PM - 6:30 PM UTCAug 7, 6:00 PM - 6:30 PM UTC
*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!
SESSION 13
8
Aug
SESSION 13
Applying derivatives to analyze functions
Applying derivatives to analyze functions
Tue 3:00 PM - 4:00 PM UTCAug 8, 3:00 PM - 4:00 PM UTC
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.
SESSION 14
9
Aug
SESSION 14
Integration and accumulation of change
Integration and accumulation of change
Wed 3:00 PM - 4:00 PM UTCAug 9, 3:00 PM - 4:00 PM UTC
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!
SESSION 15
10
Aug
SESSION 15
Differential equations
Differential equations
Thu 3:00 PM - 4:00 PM UTCAug 10, 3:00 PM - 4:00 PM UTC
We'll briefly cover differential equations and review some basic practice problems in this lesson! Nothing too heavy or serious.
SESSION 16
11
Aug
SESSION 16
Other
Other
Fri 3:00 PM - 4:00 PM UTCAug 11, 3:00 PM - 4:00 PM UTC
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