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Calculus • Series

AP Calculus AB - Summer Crash Course

Inanna K

Series Details

Sessions

Public Discussion

This series ended on August 27, 2021. All 1:1 and group chats related to this series are disabled 7 days after the last session.

Series Details

About

If you are taking AP Calculus AB this year and want a head start, this series is for you! Through this three week crash course, we will cover two of the three fundamental parts of Calculus AB: limits, and derivatives, with an emphasis on AP style questions and theorems, supplemented with Khan Academy homework. In addition, this course will also review some AP tips from someone who scored a 5 on the exam. Note: All learners must have a prerequisite understanding of Algebra II and trigonometry for this course to be useful.

✋ ATTENDANCE POLICY

Learners will be removed if they miss more than two sessions in a row, unless they contact the tutor, get the lesson slides, and keep up with the homework.

Dates

August 12 - August 27

Learners

8 / 30

Total Sessions

12

About the Tutor

I am a high school student from the United States with a deep love for mathematics and especially calculus. I currently tutor SAT Math to help students navigate the test. Looking forward to tutoring others through their math journey!

View Inanna K's Profile

Upcoming Sessions

0

Past Sessions

12
12
Aug

Session 1

Orientation

In this session, we will do some ice breakers to get to know each other, review what you guys want to learn, and end with a discussion of what is calculus?
13
Aug

Session 2

Catchup

This session will serve as a supplemental pre-calculus workshop. Here we will review the precalculus functions (exponentials, logarithms, and higher order polynomials) as well as trigonometric functions.
16
Aug

Session 3

Limits and continuity

In this session, we will go over what a limit is and the strategies to solve them. In addition, we will review what it means for a function to be continuous and focus on AP questions that revolve around limits.
17
Aug

Session 4

Integration and accumulation of change

This is a session for learners that are already familiar with differential calculus and want to move forward with their knowledge! This session we will be going over integration by parts, and many practice problems on this method of integration.

Session 5

Office Hours

Here, we will review any questions learners have on the homework, and if time permits, go over more practice questions.
18
Aug

Session 6

Integration and accumulation of change

This is a session for learners that are already familiar with differential calculus and want to move forward with their knowledge! This session we will be going over integration using trigonometric substitution before going over many practice problems

Session 7

Differentiation: definition and basic derivative rules

In this session, we will go over what a derivative is by applying what we learned about limits. In addition, we will go over basic differentiation formulas including: the power rule, constant multiplier rule, and sum and difference rules.
20
Aug

Session 8

Integration and accumulation of change

This is a session for learners that are already familiar with differential calculus and want to move forward with their knowledge! This session we will be going over integration by Partial Fraction Decomposition (PFD) after looking at an application of integration by trigonometric substitution, and many practice problems on this method of integration.
21
Aug

Session 9

Differentiation: composite, implicit, and inverse functions

In this session, we will finish reviewing the chain rule and then go over implicit differentiation, reviewing the derivative rules we learned the past week.

Session 10

Office Hours

Here, we will review any questions learners have on the homework from the past two sessions, and if time permits, we will go over more practice questions.
23
Aug

Session 11

Office Hours

This session will be an office hours with a focus on limits and continuity. Specifically, we will be going over limits as x approaches numbers and infinity.
27
Aug

Session 12

Office Hours

This session will be an office hours where learners can ask questions they may have about calculus. If there are no questions, we will do some practice problems

Public Discussion

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