AP Calculus BC Preparation
SAT Score Range
•
10 sessions
•
SP
SP
MG
+21
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.
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.
Tutored by
Schedule
✋ 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.
SESSION 1
23
Jul
SESSION 1
Orientation
Orientation
Sat 1:30 PM - 2:30 PM UTCJul 23, 1:30 PM - 2:30 PM UTC
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
SESSION 2
24
Jul
SESSION 2
Limits and continuity
Limits and continuity
Sun 1:00 PM - 3:00 PM UTCJul 24, 1:00 PM - 3:00 PM UTC
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.
SESSION 3
25
Jul
SESSION 3
Differentiation: definition and basic derivative rules
Differentiation: definition and basic derivative rules
Mon 1:30 PM - 3:00 PM UTCJul 25, 1:30 PM - 3:00 PM UTC
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.
SESSION 4
26
Jul
SESSION 4
Differentiation: composite, implicit, and inverse functions
Differentiation: composite, implicit, and inverse functions
Tue 1:30 PM - 3:00 PM UTCJul 26, 1:30 PM - 3:00 PM UTC
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.
SESSION 5
27
Jul
SESSION 5
Contextual applications of differentiation
Contextual applications of differentiation
Wed 1:30 PM - 3:00 PM UTCJul 27, 1:30 PM - 3:00 PM UTC
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.
SESSION 6
1
Aug
SESSION 6
Applying derivatives to analyze functions
Applying derivatives to analyze functions
Mon 10:30 PM - Tue, 12:30 AM UTCAug 1, 10:30 PM - Aug 2, 12:30 AM UTC
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.
SESSION 7
2
Aug
SESSION 7
Applying derivatives to analyze functions
Applying derivatives to analyze functions
Tue 10:30 PM - Wed, 12:30 AM UTCAug 2, 10:30 PM - Aug 3, 12:30 AM UTC
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.
SESSION 8
3
Aug
SESSION 8
Review
Review
Wed 11:00 PM - Thu, 12:30 AM UTCAug 3, 11:00 PM - Aug 4, 12:30 AM UTC
We will review the derivative rules and applications that were covered in the last few sessions as prep for learning integration.
SESSION 9
7
Aug
SESSION 9
Integration and accumulation of change
Integration and accumulation of change
Sun 10:30 PM - Mon, 12:30 AM UTCAug 7, 10:30 PM - Aug 8, 12:30 AM UTC
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.
SESSION 10
8
Aug
SESSION 10
Integration and accumulation of change
Integration and accumulation of change
Mon 10:30 PM - Tue, 12:00 AM UTCAug 8, 10:30 PM - Aug 9, 12:00 AM UTC
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.