Calculus • Series
Prepare for AP Calculus AB & BC!
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Pranjal C
This series ended on September 6, 2022. All 1:1 and group chats related to this series are disabled 7 days after the last session.
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 - September 6
Learners
23 / 30
Total Sessions
15
About the Tutor
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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 C's Profile
Upcoming Sessions
0
Past Sessions
15
6
Aug
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Session 1
Orientation
In this session, I will cover an overview of the 12-day AP Calculus AB and BC bootcamp, including the prerequisites and the practice materials (Khan Academy).
7
Aug
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Session 2
Limits and continuity
Welcome to the first session of the AP Calculus AB and BC bootcamp! In this session, I will cover the following topics on "Limits and Continuity" (the core of calculus): the meaning of a limit, various limit rules, techniques for finding limits, continuity, and the Intermediate Value Theorem.
9
Aug
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Session 3
Differentiation: definition and basic derivative rules
Welcome to the second session of the AP Calculus AB and BC bootcamp! In this session, I will cover the following topics on "Differentiation: Definition and Basic Derivative Rules": definition of a derivative, common derivatives (including those of trigonometric, logarithmic, and exponential functions), and derivative rules.
10
Aug
Df
Session 4
Differentiation: composite, implicit, and inverse functions
Welcome to the third session of the AP Calculus AB and BC bootcamp! In this session, I will cover the following topics on "Differentiation: Composite, Implicit, and Inverse Functions": the chain rule, implicit differentiation, derivatives of inverse functions, and inverse trigonometric functions.
12
Aug
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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
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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
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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
Ic
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
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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
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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
Pf
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.
28
Aug
Ai
Session 12
Applications of integration
Welcome to the eleventh session of the AP Calculus AB and BC bootcamp (this session is a makeup of a previous session to provide learners a more convenient time for joining)! 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.
4
Sep
Pf
Session 13
Parametric equations, polar coordinates, and vector-valued functions
Welcome to the twelfth session of the AP Calculus AB and BC bootcamp (this session is a makeup of a previous session to provide learners a more convenient time for joining)! 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.
5
Sep
Is
Session 14
Infinite sequences and series
Welcome to the thirteenth 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.
6
Sep
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Session 15
Infinite sequences and series
Welcome to the fourteenth 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.