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Calculus • Series

AP® Calculus AB Exam Only (2024-25 School Year)

Starts in 38 days!

Jeremy L

Series Details

Sessions

Public Discussion

Series Details

About

This series is still appropriate for students taking an actual AP Calculus AB course, but will assume you are not taking an actual course

Thinking of taking the AP exam next year and don't want to/can't take the course? You've found the perfect series!

This series will be treated as close to a formal class as possible; the only difference being that it follows a mastery learning method (meaning that it allows ALL students to be caught up with everyone else at once) as opposed to taditional learning (where everyone must follow the same pace as everyone else). This means that several quizzes and tests will be assigned throughout the series. And in order to execute this idea of a formal yet mastery learning class, I will only allow us to advance to next concepts if everyone scores a 90% or higher on these assessments to make the series as easy sailing as possible.

Self-studying for an AP exam requires a lot discipline, and so you are expected to be prepared to attend the 5 sessions a week (45 minutes each session), although it's fully expected that you'll miss a few sessions here and there.

Because of this mastery learning method, you will be withdrawn if you still cannot score over a 90% on an assessment assigned over a week ago. If this does happen, i might make another series dedicated to those who've been withdrawn from the series so that you can catchup on your own pace without the guilt of slowing everyone else down.

I can always schedule a Catchup/Office hours session by request if you were absent for a session/need extra help with a topic.

✋ ATTENDANCE POLICY

Please do not miss more than five sessions within a month and message the tutor if you cannot make it!

Dates

June 23 - October 8

Learners

14 / 30

Total Sessions

25

About the Tutor

I am a rising 11th grader. I have a passion for computer science, astronomy, and history. I am joining Schoolhouse to be able to share some of my knoweldge with others who need it the most, while at the same time trying to get help in areas I need help in as well. Science education in the U.S. is really dumbed down and slow, so I taught myself some advanced topics for an 11th grader thanks to how accessible all this information is nowadays, especially Khan Academy! I speak English fluently; read and speak Spanish really well, although I can't speak it too fast because I start stuttering; and am learning French (A2)

View Jeremy L's Profile

Upcoming Sessions

25
23
Jun

Session 1

Orientation

We'll try to get to know each other so that we can prepare the series best tailored to you guys. I will also introduce the summer assignment to get you set on the best foot possible to AP Calculus AB, as well as the general stucture for the series.
5
Sep

Session 2

Limits and continuity

Introducing Calculus: Can Change Occur at an Instant?
Interpret the rate of change at an instant in terms of average rates of change over an interval.
8
Sep

Session 3

Limits and continuity

Defining Limits and Using Limit Notation
Represent limits analytically using correct notation.
9
Sep

Session 4

Limits and continuity

Defining Limits and Using Limit Notation
Interpret limits expressed in analytic notation.
10
Sep

Session 5

Limits and continuity

Estimating Limit Values from Graphs
Estimate Limits of Functions
11
Sep

Session 6

Limits and continuity

Estimating Limit Values from Tables
Estimate Limits of Functions
12
Sep

Session 7

Limits and continuity

Determining Limits Using Algebraic Properties of Limits
Determine the limits of functions using limit theorems.
15
Sep

Session 8

Limits and continuity

Determine Limits Using Algebraic Manipulation
Determine the limits of functions using equivalent expressions for the function or the squeeze theorem.
16
Sep

Session 9

Limits and continuity

Selecting Procedures for Determining Limits
Understand when and how to apply all skills relating to determining limits.
17
Sep

Session 10

Limits and continuity

Determining Limits Using the Squeeze Theorem
Determine the limits of functions using equivalent expressions for the functionor the squeeze theorem.
18
Sep

Session 11

Limits and continuity

Connecting Multiple Representations of Limits
Understand when and how to apply all skills relating to limits and translating mathematical information from a single representation or across multiple representations.
19
Sep

Session 12

Limits and continuity

Exploring Types of Discontinuities
Justify conclusions about continuity at a point using the definition.
22
Sep

Session 13

Limits and continuity

Defining Continuity at a Point
Justify conclusions about continuity at a point using the definition.
23
Sep

Session 14

Limits and continuity

Confirming Continuity over an Interval
Determine intervals over which a function is continuous.
24
Sep

Session 15

Limits and continuity

Removing Discontinuities
Determine values of xx

or solve for parameters that make discontinuous functions continuous, if possible.
25
Sep

Session 16

Limits and continuity

Connecting Infinite Limits and Vertical Asymptotes
Interpret the behavior of functions using limits involving infinity.
26
Sep

Session 17

Limits and continuity

Connecting Limits at Infinity and Horizontal Asymptotes
Interpret the behavior of functions using limits involving infinity.
29
Sep

Session 18

Limits and continuity

Working with the Intermediate Value Theorem (IVT)
Explain the behavior of a function on an interval using the Intermediate Value Theorem.
30
Sep

Session 19

Review

AP-style Practise Exam for Unit 1 (5:00 PM - 7:15 PM EST)
1
Oct

Session 20

Review

Going over the most missed questions on the Unit 1 Exam.
2
Oct

Session 21

Other Topics

Defining Average and Instantaneous Rates of Change at a Point
Determine average rates of change using limit quotients.
3
Oct

Session 22

Other Topics

Defining Average and Instantaneous Rates of Change at a Point
Represent the derivative of a function as the limit of a difference quotient.
6
Oct

Session 23

Other Topics

Defining the Derivative of a Function and Using Derivative Notation
Represent the derivative of a function as the limit of a difference quotient.
7
Oct

Session 24

Other Topics

Defining the Derivative of a Function and Using Derivative Notation
Determine the equation of a line tangent to a curve at a given point.
8
Oct

Session 25

Other Topics

Estimating Derivatives of a Function at a Point
Estimate derivatives.

Public Discussion

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