AP Calculus AB/BC Course
SAT Score Range
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18 sessions
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SS
CS
AG
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🔥 7 spots left!
About
In each session, we will go over half or one chapter of volumes 1 and 2 of the Openstax textbook Calculus. Notes will be provided at the end of each session. This series will end just before the AP Calculus AB/BC Exam, and it will be suitable for learners who haven't studied calculus yet or want a quick review of some topics of calculus. You will be able to get a 5 in the AP Calculus AB/BC Exam if you attend every session and do many practice problems!
Please note that pre-calculus is the pre-requisite of this course! This series may not be suitable for you if you haven't studied pre-calculus or its equivalent.
Textbook links:
Summary of Sessions:
- Review of Pre-calculus
- Limit and Continuity
- Derivatives
- Derivative Exercises
- Applications of Derivatives 1
- Applications of Derivatives 2 (including some basic antiderivatives)
- Integration (Indefinite and Definite Integrals)
- Integration Exercises
- Applications of Integration 1
- Applications of Integration 2
- Techniques of Integration and Exercises (BC only)
- Differential Equations
- Sequences and Series (BC only)
- Power Series (BC only)
- Parametric Equations and Polar Coordinates (BC only)
- Final Review 1
- Final Review 2
- Final Review 3 (BC only)
✋ ATTENDANCE POLICY
Each session is cumulative, so please try not to miss any session! Make-up sessions may be scheduled by request.
SESSION 1
11
Jan
SESSION 1
Other Topics
Other Topics
Sat 9:00 PM - 11:00 PM UTCJan 11, 9:00 PM - 11:00 PM UTC
We'll briefly discuss some course logistics, and then go over chapter 1 of the Openstax Calculus Volume 1 textbook, which is a review of some important pre-calculus concepts. The following subunits will be tutored:
- Review of Functions
- Basic Classes of Functions
- Trigonometric Functions
- Inverse Functions
- Exponential and Logarithmic Functions
Then, we will use the remaining time to review any other important pre-calculus concepts not covered in chapter 1 of the Openstax Calculus Volume 1 textbook.
SESSION 2
18
Jan
SESSION 2
AP Calculus
AP Calculus
Sat 9:00 PM - 11:00 PM UTCJan 18, 9:00 PM - 11:00 PM UTC
We'll go over chapter 2 of the Openstax Calculus Volume 1 textbook, which is about limit and continuity. The following subunits will be tutored:
- A Preview of Calculus
- The Limit of a Function
- The Limit Laws
- Continuity
The fifth subunit, The Precise Definition of a Limit, will not be tutored because it is not tested on the AP Calculus AB/BC Exam.
SESSION 3
25
Jan
SESSION 3
AP Calculus
AP Calculus
Sat 9:00 PM - 11:00 PM UTCJan 25, 9:00 PM - 11:00 PM UTC
We'll go over chapter 3 of the Openstax Calculus Volume 1 textbook, which is about derivatives. We will not go over applications of derivatives, since these will be covered in the next session. The following subunits will be tutored:
- Defining the Derivative
- The Derivative as a Function
- Differentiation Rules
- Derivatives as Rates of Change
- Derivatives of Trigonometric Functions
- The Chain Rule
- Derivatives of Inverse Functions
- Implicit Differentiation
- Derivatives of Exponential and Logarithmic Functions
Derivatives are crucial for later sessions, so please do many exercises on the textbook after the session to reinforce the concept!
SESSION 4
1
Feb
SESSION 4
AP Calculus
AP Calculus
Sat 9:00 PM - 11:00 PM UTCFeb 1, 9:00 PM - 11:00 PM UTC
We'll do more practice exercises with derivatives. The pre-requisite of this session is chapter 3 of the Openstax Calculus Volume 1 textbook.
Derivatives are crucial for later sessions, so please do many exercises on the textbook after the session to reinforce the concept!
SESSION 5
8
Feb
SESSION 5
AP Calculus
AP Calculus
Sat 9:00 PM - 11:00 PM UTCFeb 8, 9:00 PM - 11:00 PM UTC
We'll go over the first half of chapter 4 of the Openstax Calculus Volume 1 textbook, which is about applications of differentiation. You should have a good understanding of derivatives before joining the session!
The following subunits will be tutored:
- Related Rates
- Linear Approximations and Differentials
- Maxima and Minima
- The Mean Value Theorem
- Derivatives and the Shape of a Graph
SESSION 6
15
Feb
SESSION 6
AP Calculus
AP Calculus
Sat 9:00 PM - 11:00 PM UTCFeb 15, 9:00 PM - 11:00 PM UTC
We'll go over the second half of chapter 4 of the Openstax Calculus Volume 1 textbook, which is about applications of differentiation. You should have a good understanding of derivatives before joining the session!
The following subunits will be tutored:
- Limits at Infinity and Asymptotes
- Applied Optimization Problems
- L’Hôpital’s Rule
- Antiderivatives
Note that Newton's method is skipped because it is not tested on the AP Calculus AB/BC Exam. Additionally, we will only go over the basic formulas for antiderivatives in this session.
Antiderivatives are crucial for later sessions, so please do many exercises on the textbook after the session to reinforce the concept!
SESSION 7
22
Feb
SESSION 7
AP Calculus
AP Calculus
Sat 9:00 PM - 11:00 PM UTCFeb 22, 9:00 PM - 11:00 PM UTC
We'll go over chapter 5 of the Openstax Calculus Volume 1 textbook, which is about integration. You should have a good understanding of antiderivatives before joining the session!
The following subunits will be tutored:
- Approximating Areas
- The Definite Integral
- The Fundamental Theorem of Calculus
- Integration Formulas and the Net Change Theorem
- Substitution
- Integrals Involving Exponential and Logarithmic Functions
- Integrals Resulting in Inverse Trigonometric Functions
Integrals are crucial for later sessions, so please do many exercises on the textbook after the session to reinforce the concept!
SESSION 8
1
Mar
SESSION 8
AP Calculus
AP Calculus
Sat 9:00 PM - 11:00 PM UTCMar 1, 9:00 PM - 11:00 PM UTC
We'll do more practice exercises with integrals. The pre-requisite of this session is chapter 5 of the Openstax Calculus Volume 1 textbook.
Integrals are crucial for later sessions, so please do many exercises on the textbook after the session to reinforce the concept!
SESSION 9
8
Mar
SESSION 9
AP Calculus
AP Calculus
Sat 9:00 PM - 11:00 PM UTCMar 8, 9:00 PM - 11:00 PM UTC
We'll go over chapter 6 of the Openstax Calculus Volume 1 textbook, which is about applications of integration. You should have a good understanding of integrals before joining the session!
The following subunits will be tutored:
- Areas between Curves
- Determining Volumes by Slicing
- Arc Length of a Curve (BC only)
- Integrals, Exponential Functions, and Logarithms
Note that some topics has been removed because they are not tested in the AP Calculus AB/BC Exam, or they are suitable for later sessions.
SESSION 10
15
Mar
SESSION 10
AP Calculus
AP Calculus
Sat 8:00 PM - 10:00 PM UTCMar 15, 8:00 PM - 10:00 PM UTC
We'll go over more application of integration problems.
SESSION 11
22
Mar
SESSION 11
AP Calculus
AP Calculus
Sat 8:00 PM - 10:00 PM UTCMar 22, 8:00 PM - 10:00 PM UTC
We'll go over chapter 3 of the Openstax Calculus Volume 2 textbook, which is about techniques of integration. This is a BC only session. You should have a good understanding of integrals before joining the session!
The following subunits will be tutored:
- Integration by Parts
- Partial Fractions
- Improper Integrals
Note that some topics has been removed because they are not tested in the AP Calculus BC Exam.
SESSION 12
29
Mar
SESSION 12
AP Calculus
AP Calculus
Sat 8:00 PM - 10:00 PM UTCMar 29, 8:00 PM - 10:00 PM UTC
We'll go over chapter 4 of the Openstax Calculus Volume 2 textbook, which is about differential equations. You should have a good understanding of integrals before joining the session!
The following subunits will be tutored:
- Basics of Differential Equations
- Direction Fields and Numerical Methods
- Separable Equations
- Exponential Growth and Decay
- The Logistic Equation
Note that first-order linear equations have been removed because they are not tested in the AP Calculus BC Exam.
SESSION 13
5
Apr
SESSION 13
AP Calculus
AP Calculus
Sat 8:00 PM - 10:00 PM UTCApr 5, 8:00 PM - 10:00 PM UTC
We'll go over chapter 5 of the Openstax Calculus Volume 2 textbook, which is about sequences and series. This is a BC only session.
The following subunits will be tutored:
- Sequences
- Infinite Series
- The Divergence and Integral Tests
- Comparison Tests
- Alternating Series
- Ratio and Root Tests
SESSION 14
12
Apr
SESSION 14
AP Calculus
AP Calculus
Sat 8:00 PM - 10:00 PM UTCApr 12, 8:00 PM - 10:00 PM UTC
We'll go over chapter 6 of the Openstax Calculus Volume 2 textbook, which is about power series. This is a BC only session.
The following subunits will be tutored:
- Power Series and Functions
- Properties of Power Series
- Taylor and Maclaurin Series
- Working with Taylor Series
SESSION 15
19
Apr
SESSION 15
AP Calculus
AP Calculus
Sat 8:00 PM - 10:00 PM UTCApr 19, 8:00 PM - 10:00 PM UTC
We'll go over chapter 7 of the Openstax Calculus Volume 2 textbook, which is about parametric equations and polar coordinates. This is a BC only session.
The following subunits will be tutored:
- Parametric Equations
- Calculus of Parametric Curves
- Polar Coordinates
- Area and Arc Length in Polar Coordinates
Note that conic sections are removed because they are not tested in the AP Calculus BC Exam.
SESSION 16
26
Apr
SESSION 16
AP Calculus
AP Calculus
Sat 8:00 PM - 10:00 PM UTCApr 26, 8:00 PM - 10:00 PM UTC
We will review limit and continuity, derivatives, and applications of differentiation quickly in this session. Feel free to ask questions as well!
SESSION 17
3
May
SESSION 17
AP Calculus
AP Calculus
Sat 8:00 PM - 10:00 PM UTCMay 3, 8:00 PM - 10:00 PM UTC
We will review antiderivatives, integrals, applications of integration, and differential equations quickly in this session. Feel free to ask questions as well!
SESSION 18
10
May
SESSION 18
AP Calculus
AP Calculus
Sat 8:00 PM - 10:00 PM UTCMay 10, 8:00 PM - 10:00 PM UTC
We will review techniques of integration, sequences and series, power series, parametric equations, and polar coordinates in this session. This session is BC only. Feel free to ask questions as well!