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AP Calculus AB/BC

SAT Score Range

•

25 sessions

•

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.

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.

Tutored by

kishan p 🇺🇸

Certified in 11 topics

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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.

Schedule

✋ 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.

SESSION 1

9

Jul

SESSION 1

Limits and continuity

Limits and continuity

Tue 12:00 AM - 1:10 AM UTCJul 9, 12:00 AM - 1:10 AM UTC

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.
SESSION 2

10

Jul

SESSION 2

Limits and continuity

Limits and continuity

Wed 12:00 AM - 1:10 AM UTCJul 10, 12:00 AM - 1:10 AM UTC

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

10

Jul

SESSION 3

Limits and continuity

Limits and continuity

Wed 11:00 PM - Thu, 12:10 AM UTCJul 10, 11:00 PM - Jul 11, 12:10 AM UTC

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.
SESSION 4

12

Jul

SESSION 4

Limits and continuity

Limits and continuity

Fri 12:15 AM - 1:25 AM UTCJul 12, 12:15 AM - 1:25 AM UTC

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

12

Jul

SESSION 5

Integration and accumulation of change

Integration and accumulation of change

Fri 11:30 PM - Sat, 12:40 AM UTCJul 12, 11:30 PM - Jul 13, 12:40 AM UTC

Inverse trig integrals
SESSION 6

15

Jul

SESSION 6

Limits and continuity

Limits and continuity

Mon 11:00 PM - Tue, 12:10 AM UTCJul 15, 11:00 PM - Jul 16, 12:10 AM UTC

We will learn how to use limits to check continuity of a function over an interval. We will also learn how to confirm continuity.
SESSION 7

16

Jul

SESSION 7

Differentiation: definition and basic derivative rules

Differentiation: definition and basic derivative rules

Tue 11:15 PM - Wed, 12:25 AM UTCJul 16, 11:15 PM - Jul 17, 12:25 AM UTC

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
SESSION 8

17

Jul

SESSION 8

Differentiation: definition and basic derivative rules

Differentiation: definition and basic derivative rules

Wed 11:15 PM - Thu, 12:25 AM UTCJul 17, 11:15 PM - Jul 18, 12:25 AM UTC

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).
SESSION 9

18

Jul

SESSION 9

Differentiation: definition and basic derivative rules

Differentiation: definition and basic derivative rules

Thu 11:15 PM - Fri, 12:25 AM UTCJul 18, 11:15 PM - Jul 19, 12:25 AM UTC

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.
SESSION 10

19

Jul

SESSION 10

Differentiation: definition and basic derivative rules

Differentiation: definition and basic derivative rules

Fri 11:15 PM - Sat, 12:25 AM UTCJul 19, 11:15 PM - Jul 20, 12:25 AM UTC

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.
SESSION 11

22

Jul

SESSION 11

Differentiation: composite, implicit, and inverse functions

Differentiation: composite, implicit, and inverse functions

Mon 11:15 PM - Tue, 12:15 AM UTCJul 22, 11:15 PM - Jul 23, 12:15 AM UTC

Intro to derivatives in context : relating derivatives to speed, velocity, and acceleration. We will understand how derivatives are related to these 3 physics concepts
SESSION 12

23

Jul

SESSION 12

Differentiation: composite, implicit, and inverse functions

Differentiation: composite, implicit, and inverse functions

Tue 11:15 PM - Wed, 12:25 AM UTCJul 23, 11:15 PM - Jul 24, 12:25 AM UTC

Intro to inverse trig derivatives. Working out formulas for inverse sine and cosine derivatives.
SESSION 13

24

Jul

SESSION 13

Differentiation: composite, implicit, and inverse functions

Differentiation: composite, implicit, and inverse functions

Wed 11:15 PM - Thu, 12:25 AM UTCJul 24, 11:15 PM - Jul 25, 12:25 AM UTC

Implicit differentiation and related rates. We will learn how to solve problems involving rates of change using derivatives.
SESSION 14

30

Jul

SESSION 14

Applications of integration

Applications of integration

Tue 12:15 AM - 1:25 AM UTCJul 30, 12:15 AM - 1:25 AM UTC

Integral Applications: Accumulation
SESSION 15

1

Aug

SESSION 15

Differential equations

Differential equations

Thu 12:15 AM - 1:15 AM UTCAug 1, 12:15 AM - 1:15 AM UTC

Euler's Method and Linear approximation practice
SESSION 16

6

Aug

SESSION 16

Applications of integration

Applications of integration

Tue 12:15 AM - 1:15 AM UTCAug 6, 12:15 AM - 1:15 AM UTC

Position, Velocity, Acceleration
SESSION 17

7

Aug

SESSION 17

Applications of integration

Applications of integration

Wed 12:30 AM - 1:30 AM UTCAug 7, 12:30 AM - 1:30 AM UTC

Position, Velocity, Acceleration continued
SESSION 18

8

Aug

SESSION 18

Applications of integration

Applications of integration

Thu 12:15 AM - 1:15 AM UTCAug 8, 12:15 AM - 1:15 AM UTC

Practicing frq rate of change problems with integrals,
SESSION 19

9

Aug

SESSION 19

Applications of integration

Applications of integration

Fri 12:15 AM - 1:15 AM UTCAug 9, 12:15 AM - 1:15 AM UTC

More practice with contextual problems if needed; Finding area between 2 curves (with respect to dx & dy)
SESSION 20

10

Aug

SESSION 20

Applications of integration

Applications of integration

Sat 12:15 AM - 1:15 AM UTCAug 10, 12:15 AM - 1:15 AM UTC

Area between multiple curves frq practice
SESSION 21

12

Aug

SESSION 21

Applications of integration

Applications of integration

Mon 11:45 PM - Tue, 12:55 AM UTCAug 12, 11:45 PM - Aug 13, 12:55 AM UTC

Volume with cross sections intro (types of shapes used) (w.r.t dx & dy)
SESSION 22

15

Aug

SESSION 22

Applications of integration

Applications of integration

Thu 12:15 AM - 1:15 AM UTCAug 15, 12:15 AM - 1:15 AM UTC

Further cross section practice as needed; if not, intro to disc method
SESSION 23

16

Aug

SESSION 23

Applications of integration

Applications of integration

Fri 12:00 AM - 1:00 AM UTCAug 16, 12:00 AM - 1:00 AM UTC

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SESSION 24

17

Aug

SESSION 24

Applications of integration

Applications of integration

Sat 12:00 AM - 1:00 AM UTCAug 17, 12:00 AM - 1:00 AM UTC

Disc method harder problems
SESSION 25

20

Aug

SESSION 25

Applications of integration

Applications of integration

Tue 12:15 AM - 1:15 AM UTCAug 20, 12:15 AM - 1:15 AM UTC

Washer method intro (dx & dy)

Public Discussion

Please log in to see discussion on this series.

Jul 9 - Aug 20

7 weeks

60 - 70 mins

/ session