Calculus • Series
AP Calculus BC Course Supplement
SL
JP
Jessica P
This series was cancelled by the tutor on January 14, 2023. We're very sorry–you can explore more Calculus series here. All 1:1 and group chats related to this series are disabled 7 days after the last session.
Series Details
About
Hi learners! If you are taking AP Calculus BC this school year this series is perfect for you! AP Calculus BC may seem hard at first but with this course supplement you will be familiar with all the topics taught in school ahead of time! Last school year (21-22) I took AP Calculus BC. I received A's both semesters and got a 5 on the AP test (AB subscore: 5, BC subscore: 5). With this series I hope you too can excel in AP Calculus BC!
This series will cover all the units of AP Calculus as you learn them in school. However, it will be more fast-paced so you have understanding of each topic before you learn them in class! In each session, I will go over the main topics/concepts of each unit then assign practice problems.
This series will be held completely on weekends. As I will be a senior this year some of the sessions may be subject to time changes. Please also let me know if your schedule does not match up with the times and I can either change the scheduled times or create office hours!
***If pacing needs to be adjusted, some sessions will have topic changes. The pacing of this series will most likely become slower.
✋ ATTENDANCE POLICY
The sessions are not mandatory, however I encourage you all to attend each one because there is minimal time to review the topics learned in previous sessions.
Dates
August 13 - December 24
Learners
49 / 75
Total Sessions
14
About the Tutor
SL
JP
Hi everyone, I'm Jessica and I am a high school senior in the US. My favorite subjects at school are anything STEM related. I mainly tutor math topics here at Schoolhouse.world but I also tutor SAT Reading&Writing. Can't wait to meet you all in one of my sessions! : )
View Jessica P's Profile
Upcoming Sessions
0
Past Sessions
14
13
Aug
O
Session 1
Orientation
Overview:
> Ice Breakers/introductions
> Policies
> Pre-Calc review/ basic topics needed for calculus
20
Aug
AC
Session 2
AP Calculus
Unit 1: Limits and Continuity
You’ll start to explore how limits will allow you to solve problems involving change and to better understand mathematical reasoning about functions.
27
Aug
AC
Session 3
AP Calculus
Unit 2: Differentiation: Definition and Fundamental Properties
You’ll apply limits to define the derivative, become skillful at determining derivatives, and continue to develop mathematical reasoning skills.
10
Sep
AC
Session 4
AP Calculus
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
You’ll master using the chain rule, develop new differentiation techniques, and be introduced to higher-order derivatives.
17
Sep
AC
Session 5
AP Calculus
Unit 3 (cont.): Differentiation: Composite, Implicit, and Inverse Functions
You’ll master using the chain rule, develop new differentiation techniques, and be introduced to higher-order derivatives.
24
Sep
AC
Session 6
AP Calculus
Unit 4: Contextual Applications of Differentiation
You’ll apply derivatives to set up and solve real-world problems involving instantaneous rates of change and use mathematical reasoning to determine limits of certain indeterminate forms.
1
Oct
AC
Session 7
AP Calculus
Unit 4 (cont.) : Contextual Applications of Differentiation
You’ll apply derivatives to set up and solve real-world problems involving instantaneous rates of change and use mathematical reasoning to determine limits of certain indeterminate forms.
15
Oct
AC
Session 8
AP Calculus
Unit 5 (cont.): Analytical Applications of Differentiation
After exploring relationships among the graphs of a function and its derivatives, you'll learn to apply calculus to solve optimization problems.
22
Oct
AC
Session 9
AP Calculus
Unit 6: Integration and Accumulation of Change
You’ll learn to apply limits to define definite integrals and how the Fundamental Theorem connects integration and differentiation. You’ll apply properties of integrals and practice useful integration techniques.
29
Oct
AC
Session 10
AP Calculus
Unit 6 (cont.) : Integration and Accumulation of Change
You’ll learn to apply limits to define definite integrals and how the Fundamental Theorem connects integration and differentiation. You’ll apply properties of integrals and practice useful integration techniques.
12
Nov
AC
Session 11
AP Calculus
Unit 7: Differential Equations
You’ll learn how to solve certain differential equations and apply that knowledge to deepen your understanding of exponential growth and decay and logistic models.
3
Dec
AC
Session 12
AP Calculus
Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
You’ll solve parametrically defined functions, vector-valued functions, and polar curves using applied knowledge of differentiation and integration. You’ll also deepen your understanding of straight-line motion to solve problems involving curves.
10
Dec
AC
Session 13
AP Calculus
Unit 10: Infinite Sequences and Series
You’ll explore convergence and divergence behaviors of infinite series and learn how to represent familiar functions as infinite series. You’ll also learn how to determine the largest possible error associated with certain approximations involving series.
24
Dec
AC
Session 14
AP Calculus
Unit 10: Infinite Sequences and Series (Cont.)
You’ll explore convergence and divergence behaviors of infinite series and learn how to represent familiar functions as infinite series. You’ll also learn how to determine the largest possible error associated with certain approximations involving series.