This series ended on August 18, 2021. All 1:1 and group chats related to this series are disabled 7 days after the last session.
Series Details
About
Hello everyone! In this series, I will cover all of the units from AP Calculus BC, explaining the concepts and solving multiple problems along the way. This series will start with an orientation, in which I will cover the general overview of the 12-day course. Each day, the homework assigned will be problems from Khan Academy, and I will provide help on any issue through the 1:1 chats.
✋ ATTENDANCE POLICY
You will be withdrawn from the series if you have 2 or more unexcused absences in a row. Please message the tutor in advance in case you need to be absent!
Dates
August 2 - August 18
Learners
21 / 30
Total Sessions
13
About the Tutor
BL
PC
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)
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Upcoming Sessions
0
Past Sessions
13
2
Aug
O
Session 1
Orientation
In this session, I will cover an overview of the 12-day AP Calculus BC summer series, including the prerequisites, the practice materials (Khan Academy), and the 1:1 chats.
3
Aug
Lc
Session 2
Limits and continuity
Welcome to the first session of the AP Calculus BC - Summer Series course! 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.
4
Aug
Dr
Session 3
Differentiation: definition and basic derivative rules
Welcome to the second session of the AP Calculus BC - Summer Series course! 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.
5
Aug
Df
Session 4
Differentiation: composite, implicit, and inverse functions
Welcome to the third session of the AP Calculus BC - Summer Series course! 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.
6
Aug
Cd
Session 5
Contextual applications of differentiation
Welcome to the fourth session of the AP Calculus BC - Summer Series! 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.
7
Aug
Af
Session 6
Applying derivatives to analyze functions
Welcome to the fifth session of the AP Calculus BC - Summer Series! 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.
8
Aug
Ic
Session 7
Integration and accumulation of change
Welcome to the sixth session of the AP Calculus BC - Summer Series course! 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.
9
Aug
Ic
Session 8
Integration and accumulation of change
Welcome to the seventh session of the AP Calculus BC - Summer Series course! 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.
10
Aug
De
Session 9
Differential equations
Welcome to the eighth session of the AP Calculus BC - Summer Series course! 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.
15
Aug
Ai
Session 10
Applications of integration
Welcome to the ninth session of the AP Calculus BC - Summer Series course! 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.
16
Aug
Pf
Session 11
Parametric equations, polar coordinates, and vector-valued functions
Welcome to the tenth session of the AP Calculus BC - Summer Series course! 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.
17
Aug
Is
Session 12
Infinite sequences and series
Welcome to the eleventh session of the AP Calculus BC - Summer Series course! 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.
18
Aug
Is
Session 13
Infinite sequences and series
Welcome to the twelfth and final session of the AP Calculus BC - Summer Series course! 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.