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Calculus

• Series

Prepare for AP Calculus AB & BC!

Next session on Aug 12, 2022

Hosted by Pranjal C


This series is part of Schoolhouse Summer Camp. Explore Summer Camp

Series Details

About

Hey everyone! I am Pranjal, a rising senior in high school. In this series, I will cover all of the units from AP Calculus AB and BC, explaining concepts and solving multiple problems along the way, along with providing example problems within each session. This series will start with an orientation, in which I will cover the general overview of the 12-day course. Each day, there will be optional homework assignments (for developing each topic through practice), and I will provide help on any issue through the 1:1 chats.
PREREQUISITES
Precalculus OR Algebra II
RELEVANT CREDENTIALS
- 5 on AP Calculus BC Exam
- 5 on AP Physics C: Mechanics Exam
- 5 on AP Physics C: Electricity and Magnetism Exam
- Completed Multivariable Calculus and Linear Algebra college courses (A in both)

✋ ATTENDANCE POLICY

The sessions will be most helpful if you attend all of them, but you are free to attend/skip whichever sessions you want.

Dates

August 6 - August 25

Learners

20 / 30

Total Sessions

13

About the Tutor

Hello! I am a high school senior in California. I like problem solving in various areas of math and physics. I have been tutoring AP Calculus and AP Physics at schoolhouse.world. I have also previously been an MOEMS tutor, a high school chemistry tutor, and a MATHCOUNTS coach for our local team. I look forward to continue tutoring on schoolhouse! Relevant Credentials - 5 on AP Calculus BC Exam - 5 on AP Physics C: Mechanics Exam - 5 on AP Physics C: Electricity and Magnetism Exam - 5 on AP Computer Science A Exam - Completed Multivariable Calculus and Linear Algebra college courses (A in both)

View Pranjal's Profile

Upcoming Sessions

9
12
Aug

Session 5

Contextual applications of differentiation

Welcome to the fourth session of the AP Calculus AB and BC bootcamp! In this session, I will cover the following topics on "Contextual Applications of Differentiation": an understanding of the derivative, rectilinear motion, related rates, and L'Hopital's rule.
14
Aug

Session 6

Applying derivatives to analyze functions

Welcome to the fifth session of the AP Calculus AB and BC bootcamp! In this session, I will cover the following topics on "Applying Derivatives to Analyze Functions": Rolle's Theorem and the Mean Value Theorem, increasing/decreasing functions and global extrema, critical numbers, local extrema, concavity, graphing, and optimization.
18
Aug

Session 7

Integration and accumulation of change

Welcome to the sixth session of the AP Calculus AB and BC bootcamp! In this session, I will cover the following topics on "Integration and Accumulation of Change": antiderivatives and indefinite integrals, u-substitution, definite integrals, definite integral properties, and the Mean Value Theorem for integrals.
19
Aug

Session 8

Integration and accumulation of change

Welcome to the seventh session of the AP Calculus AB and BC bootcamp! In this session, I will cover the following topics on "Integration and Accumulation of Change": many techniques for integrating rational functions, integrating by parts, tabular integration, and improper integrals.
20
Aug

Session 9

Differential equations

Welcome to the eighth session of the AP Calculus AB and BC bootcamp! In this session, I will cover the following topics on "Differential equations": modeling with differential equations, separable differential equations, exponential models and logistic functions, slope fields, and Euler's method.
21
Aug

Session 10

Applications of integration

Welcome to the ninth session of the AP Calculus AB and BC bootcamp! In this session, I will cover the following topics on "Applications of Integration": area under a curve, solids of revolution, volumes with cross sections, and arc length.
23
Aug

Session 11

Parametric equations, polar coordinates, and vector-valued functions

Welcome to the tenth session of the AP Calculus AB and BC bootcamp! In this session, I will cover the following topics in "Parametric Equations, Polar Coordinates, and Vector-Valued Functions": parametric equations, derivatives of parametrically defined functions, arc lengths with parametric equations, polar coordinates, derivatives of polar curves, area in a polar curve, vector-valued functions, and derivatives of vector-valued functions.
24
Aug

Session 12

Infinite sequences and series

Welcome to the eleventh session of the AP Calculus AB and BC bootcamp! In this session, I will cover the following topics on "Infinite Sequences and Series": definition of an infinite series, geometric series test, nth term test, integral test, harmonic/hyperharmonic series tests, basic comparison test, limit comparison test, ratio and root tests, and alternating series test.
25
Aug

Session 13

Infinite sequences and series

Welcome to the twelfth and final session of the AP Calculus AB and BC bootcamp! In this session, I will cover the following topics on "Infinite Sequences and Series": power series, power series representations of functions, Maclaurin and Taylor series, alternating series error bound, and the Lagrange error bound.

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