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Calculus • Series

AP Calculus AB/BC

kishan p

Series Details

Sessions

Public Discussion

This series ended on August 20, 2024. All 1:1 and group chats related to this series are disabled 7 days after the last session.

Series Details

About

READ FULLY!
Hey there! I am Kishan, a rising senior. I enjoy math a lot, particularly calculus - which I developed an interest for in 10th grade. I am currently halfway through teaching myself Calc III and a certified calculus tutor in Schoolhouse. This series is a relatively fast paced course that will cover the entirety of the AP Calculus AB/BC curriculum. We will start from the ground up, introducing ourselves to limits, derivatives, integrals, etc...So, if you are here to learn BC, consider skipping until UNIT 5. Hope you enjoy me as your tutor. I am going to add sessions as we go through the series.

✋ ATTENDANCE POLICY

READ FULLY!!!

BC students are allowed to skip any amount of sessions until Unit 5. AB students are expected to attend all sessions, but are allowed (not required) to skip any/all sessions after Unit 8. Anyone with more than 3 unexcused absences may be removed from the series when their respective content is being covered. Please don't miss more than 4 sessions when the AB and BC curriculums are being covered for respective AB & BC students. Please submit an excused absence and message the reason for your absence - if you are absent when your content is being covered - to me through the private chat.

Dates

July 9 - August 20

Learners

1 / 5

Total Sessions

25

About the Tutor

Hey! I am Kishan (Ki - Shun), a rising senior from Arizona. I love practicing and teaching dancing, learning flips, math, and planes. My favorite field of math is calculus, and I have self-taught myself Calc 1, 2, & 3. Will be joining Schoolhouse tutoring next summer. Will probably go to ASU (accepted!) to get my aerospace engineering and business administration degree.

View kishan p's Profile

Upcoming Sessions

0

Past Sessions

25
9
Jul

Session 1

Limits and continuity

Intro to Limits. We will talk about the different components of a limit, limit notation, and what they mean. We will then learn the most basic way to find a limit.
10
Jul

Session 2

Limits and continuity

We will find one-sided and general limits from graphs and tables. We will also look at unbounded limits in graphs, equations, and tables

Session 3

Limits and continuity

We will explore helpful properties of limits and practice problems using them. We will then dive into some exceptions involved in one of these properties.
12
Jul

Session 4

Limits and continuity

We will develop different algebraic strategies to find limits of radicals, polynomials, trig functions. We will also explore different ways to find limits when direct substitution fails and what each scenario means.

Session 5

Integration and accumulation of change

Inverse trig integrals
15
Jul

Session 6

Limits and continuity

We will learn how to use limits to check continuity of a function over an interval. We will also learn how to confirm continuity.
16
Jul

Session 7

Differentiation: definition and basic derivative rules

Exploring average and instantaneous change: We will learn what a derivative means and learn how to find them using limits in 2 ways. We will go over the two most common notations for derivatives
17
Jul

Session 8

Differentiation: definition and basic derivative rules

We will learn to use the power rule to find derivatives and some useful properties of derivatives. We will then learn when a function is differentiable and why it might not be sometimes (Hint: Derivatives are just limits).
18
Jul

Session 9

Differentiation: definition and basic derivative rules

We will look at the product, quotient, and chain rule of derivatives. We will then do some practice problems where we will use these rules individually and combined. We will also look at higher order derivatives.
19
Jul

Session 10

Differentiation: definition and basic derivative rules

We will learn derivatives of trig functions, exponential functions, and log functions. You will have to memorize these for the AP exam, but they are really easy to memorize. We will go over some methods to memorize trig derivatives.
22
Jul

Session 11

Differentiation: composite, implicit, and inverse functions

Intro to derivatives in context : relating derivatives to speed, velocity, and acceleration. We will understand how derivatives are related to these 3 physics concepts
23
Jul

Session 12

Differentiation: composite, implicit, and inverse functions

Intro to inverse trig derivatives. Working out formulas for inverse sine and cosine derivatives.
24
Jul

Session 13

Differentiation: composite, implicit, and inverse functions

Implicit differentiation and related rates. We will learn how to solve problems involving rates of change using derivatives.
30
Jul

Session 14

Applications of integration

Integral Applications: Accumulation
1
Aug

Session 15

Differential equations

Euler's Method and Linear approximation practice
6
Aug

Session 16

Applications of integration

Position, Velocity, Acceleration
7
Aug

Session 17

Applications of integration

Position, Velocity, Acceleration continued
8
Aug

Session 18

Applications of integration

Practicing frq rate of change problems with integrals,
9
Aug

Session 19

Applications of integration

More practice with contextual problems if needed; Finding area between 2 curves (with respect to dx & dy)
10
Aug

Session 20

Applications of integration

Area between multiple curves frq practice
12
Aug

Session 21

Applications of integration

Volume with cross sections intro (types of shapes used) (w.r.t dx & dy)
15
Aug

Session 22

Applications of integration

Further cross section practice as needed; if not, intro to disc method
16
Aug

Session 23

Applications of integration

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17
Aug

Session 24

Applications of integration

Disc method harder problems
20
Aug

Session 25

Applications of integration

Washer method intro (dx & dy)

Public Discussion

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