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Calculus • Series

AP Calculus AB Exam Only (2024-25)

Starts in 113 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Because of this mastery learning method, you will be withdrawn if you still cannot score over a 90% on an assessment assigned over a week ago. If this does happen, i might make another series dedicated to those who've been withdrawn from the series so that you can catchup on your own pace without the guilt of slowing everyone else down.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 20 - October 30

Learners

6 / 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
20
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.
23
Sep

Session 2

Review

Precalculus: Reducing Rational Expressions to Lowest Terms
Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.
24
Sep

Session 3

Review

Precalculus: End Behaviour of Rational Functions + Discontinuities of Rational Functions
Identify zeros and asymptotes when suitable factorisations are available and show end behaviour of rational functions.
25
Sep

Session 4

Review

Precalculus: Graphs of Rational Functions
Graph rational functions, identifying zeros and asymptotes when suitable factorisations are available, and showing end behaviour.
26
Sep

Session 5

Review

Precalculus: Modelling with Rational Functions
Create univariate equations arising from simple rational functions and use them to solve problems.
27
Sep

Session 6

Review

Precalculus: Multiplying and Dividing Rational Expressions
Understand that rational expressions form a system analogous to the rational numbers, closed under multiplication, and division by a nonzero rational expression; multiply and divide rational expressions.
29
Sep

Session 7

Review

Precalculus: Adding and Subtracting Rational Expressions
Understand that rational expressions form a system analogous to the rational numbers, closed under addition and subtraction; add and subtract rational expressions.
30
Sep

Session 8

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 intervals containing that instant.
1
Oct

Session 9

Limits and continuity

Defining Limits and Using Limit Notation
Represent limits analytically using correct notation.
2
Oct

Session 10

Limits and continuity

Defining Limits and Using Limit Notation
Interpret limits expressedin analytic notation.
3
Oct

Session 11

Limits and continuity

Estimating Limit Values from Graphs
Estimate limtis of functions given their graphs.
6
Oct

Session 12

Limits and continuity

Estimating Limit Values from Tables
Estimatelimits of functions given their tables.
7
Oct

Session 13

Limits and continuity

Determining Limits Using Algebraic Properties of Limits
Determine the limits of functions using limit theorems.
8
Oct

Session 14

Limits and continuity

Determining Limits Using Algebraic Manipulation
Determine the limits of functions using equivalent expressions for the functions.
9
Oct

Session 15

Limits and continuity

Selecting Procedures for Determining Limits
Practise applying all skills relating to determining limits.
10
Oct

Session 16

Limits and continuity

Determining Limits Using the Squeeze Theorem
Determine the limits of functions using the squeeze theorem.
13
Oct

Session 17

Limits and continuity

Connecting Multiple Representations of Limits
Practise applying all skills relating to limits and translating mathematical information from a single representation or across multiple representations.
14
Oct

Session 18

Limits and continuity

Exploring Types of Discontinuities
Reason with definitions about continuity
15
Oct

Session 19

Limits and continuity

Defining Continuity at a Point
Justify conclusions about continuity at a point using the definition.
16
Oct

Session 20

Limits and continuity

Confirming Continuity over an Interval
Determine intervals over which a function is continuous.
17
Oct

Session 21

Limits and continuity

Removing Discontinuities
Determine values of x or solve for parameters that make discontinuous function continuous, if possible.
20
Oct

Session 22

Limits and continuity

Connecting Infinite Limits and Vertical Asymptotes
Interpret the behaviour of functions using infinite limits.
27
Oct

Session 23

Limits and continuity

Connecting Limits at Infinity and Horizontal Asymptotes
Interpret the behaviour of functions using limits at infinity.
28
Oct

Session 24

Limits and continuity

Working with the Intermediate Value Theorem (IVT)
Expalin the behaviour of a function on an interval using the Intermediate Value Theorem.
29
Oct

Session 25

Review

AP-Style Practice Exam: Limits and Continuity Questions Only

Public Discussion

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