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Calculus • Series

AP Calculus BC Preparation

Siddharth P

Series Details

Sessions

Public Discussion

This series ended on August 8, 2022. All 1:1 and group chats related to this series are disabled 7 days after the last session.

Series Details

About

We will go over all of AP Calculus BC. We will cover all 10 units of the collegeboard curriculum: Limits and continuity Differentiation: definition and basic derivative rules Differentiation: composite, implicit, and inverse functions Contextual applications of differentiation Applying derivatives to analyze functions Integration and accumulation of change Differential equations Applications of integration Parametric equations, polar coordinates, and vector-valued functions Infinite sequences and series I will also plan to cover some applications of calculus beyond what is mentioned in the course such as the derivation of the kinematic equations and geometric 3d solid formulas. I will post homework from my class last year and the end of each class for practice as well.

✋ ATTENDANCE POLICY

The course will go along fairly fast, I am planning to cover one unit each session so make sure to attend as many sessions as you can, if you cant attend please inform me but if you do not attend 2 or more classes I am going to have to withdraw you.

Dates

July 23 - August 9

Learners

24 / 40

Total Sessions

10

About the Tutor

I am a highschooler in North Carolina and I love math and physics. I hope to be able to spread my knowledge through tutoring on schoolhouse!

View Siddharth P's Profile

Upcoming Sessions

0

Past Sessions

10
23
Jul

Session 1

Orientation

I wont be going over much I would just like to review and precalculus knowledge that you will need for this course and for everyone to take a pre-assessment
24
Jul

Session 2

Limits and continuity

I will be going over the definitions of limits and continuity and looking at how to evaluate limits, remove discontinuities, and recognize the continuity of a function. I will give homework based on the course I took in AP Calculus BC last year.
25
Jul

Session 3

Differentiation: definition and basic derivative rules

I plan to cover the definition of the derivative, basic derivative rules such as constant, sum, power, product and quotient rules and derivatives of special functions. I will give homework based on the course I took in AP Calculus BC last year.
26
Jul

Session 4

Differentiation: composite, implicit, and inverse functions

I plan to cover more advanced derivative concepts such as the chain rule, implicit differentiation, inverse differentiation, and higher order derivatives. I will give homework based on the course I took in AP Calculus BC last year.
27
Jul

Session 5

Contextual applications of differentiation

I plan to cover how to interpret the meaning of the derivative in context, straight line motion, related rates, local linearlity for approximation and L'hopitals rule. I will give homework based on the course I took in AP Calculus BC last year.
1
Aug

Session 6

Applying derivatives to analyze functions

I plan to cover various theorems like the mean value and extreme value theorem, I will cover derivative appications like the first derivative test, second derivative test, candidates test and optimization. I will give homework based on the course I took in AP Calculus BC last year.
2
Aug

Session 7

Applying derivatives to analyze functions

I plan to cover various theorems like the mean value and extreme value theorem, I will cover derivative appications like the first derivative test, second derivative test, candidates test and optimization. I will give homework based on the course I took in AP Calculus BC last year.
3
Aug

Session 8

Review

We will review the derivative rules and applications that were covered in the last few sessions as prep for learning integration.
7
Aug

Session 9

Integration and accumulation of change

I plan to cover riemann sums, the fundamental theorem of calculus, basic antiderivatives, definite and indefinite integrals and different methods of integration such as U-substitution, completing the square, long division, integration by parts and decomposition by partial fractions. We will also go over improper integrals. I will give homework based on the course I took in AP Calculus BC last year.
8
Aug

Session 10

Integration and accumulation of change

I plan to cover riemann sums, the fundamental theorem of calculus, basic antiderivatives, definite and indefinite integrals and different methods of integration such as U-substitution, completing the square, long division, integration by parts and decomposition by partial fractions. We will also go over improper integrals. I will give homework based on the course I took in AP Calculus BC last year.

Public Discussion

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