AP Calculus BC - Summer Series

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AP Calculus BC - Summer Series

SAT Score Range

•

13 sessions

•

+18

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.

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.

Tutored by

Pranjal C 🇺🇸

Certified in 21 topics

View Profile

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)

Schedule

✋ 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You will be withdrawn from the series if you have 2 or more unexcused absences in a row.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!

SESSION 1

2

Aug

SESSION 1

Orientation

Mon 1:30 AM - 2:00 AM UTCAug 2, 1:30 AM - 2:00 AM UTC

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.

SESSION 2

3

Aug

SESSION 2

Limits and continuity

Tue 1:00 AM - 2:00 AM UTCAug 3, 1:00 AM - 2:00 AM UTC

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.

SESSION 3

4

Aug

SESSION 3

Differentiation: definition and basic derivative rules

Wed 1:00 AM - 2:00 AM UTCAug 4, 1:00 AM - 2:00 AM UTC

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.

SESSION 4

5

Aug

SESSION 4

Differentiation: composite, implicit, and inverse functions

Thu 1:00 AM - 2:00 AM UTCAug 5, 1:00 AM - 2:00 AM UTC

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.

SESSION 5

6

Aug

SESSION 5

Contextual applications of differentiation

Fri 1:00 AM - 2:00 AM UTCAug 6, 1:00 AM - 2:00 AM UTC

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.

SESSION 6

7

Aug

SESSION 6

Applying derivatives to analyze functions

Sat 1:00 AM - 2:00 AM UTCAug 7, 1:00 AM - 2:00 AM UTC

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.

SESSION 7

8

Aug

SESSION 7

Integration and accumulation of change

Sun 1:00 AM - 2:00 AM UTCAug 8, 1:00 AM - 2:00 AM UTC

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.

SESSION 8

9

Aug

SESSION 8

Integration and accumulation of change

Mon 1:00 AM - 2:00 AM UTCAug 9, 1:00 AM - 2:00 AM UTC

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.

SESSION 9

10

Aug

SESSION 9

Differential equations

Tue 1:00 AM - 2:00 AM UTCAug 10, 1:00 AM - 2:00 AM UTC

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.

SESSION 10

15

Aug

SESSION 10

Applications of integration

Sun 1:00 AM - 2:00 AM UTCAug 15, 1:00 AM - 2:00 AM UTC

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.

SESSION 11

16

Aug

SESSION 11

Parametric equations, polar coordinates, and vector-valued functions

Mon 1:00 AM - 2:00 AM UTCAug 16, 1:00 AM - 2:00 AM UTC

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.

SESSION 12

17

Aug

SESSION 12

Infinite sequences and series

Tue 1:00 AM - 2:00 AM UTCAug 17, 1:00 AM - 2:00 AM UTC

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.

SESSION 13

18

Aug

SESSION 13

Infinite sequences and series

Wed 1:00 AM - 2:00 AM UTCAug 18, 1:00 AM - 2:00 AM UTC

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.

Public Discussion

Please log in to see discussion on this series.

Aug 2 - Aug 18

3 weeks

30 - 60 mins

/ session

SCHEDULE

Tuesdays

1:00AM

Wednesdays

1:00AM

Sundays

1:00AM

Mondays

1:00AM