This series ended on August 3, 2024. All 1:1 and group chats related to this series are disabled 7 days after the last session.
Series Details
About
We will cover each unit for AP Calculus BC. We will also cover all AP Calculus AB material needed for the BC exam since AB is approximately 60%. We will also do official CollegeBoard MCQs and FRQs from the past 15 years. There will be notes provided but it is up to the learner's discretion to jot them down. Additionally, a graphing calculator is necessary to be able to do certain problems.
✋ ATTENDANCE POLICY
Please do not miss more than 10 sessions or the tutor will withdraw you from the series. You don't have to message me or inform me if you miss a session because I completely understand that we have other important things to do or unexpected plans.
Dates
June 11 - August 3
Learners
21 / 30
Total Sessions
26
About the Tutor
SL
JP
Hi everyone! My name is Johanna and I’m a college freshman from Arizona, majoring in Physiology and Medical Sciences and minoring in Mathematics. I tutor primarily in Calculus AB, BC, Multivariable Calculus, and SAT math prep and I am also a teaching assistant for AP Calculus AB. My favorite hobbies are volleyball, singing, and drawing.
View Johanna P's Profile
Upcoming Sessions
0
Past Sessions
26
11
Jun
AC
Session 1
AP Calculus
We will cover Unit 1: Limits and Continuity - Definition of a limit, asymptotes, properties of limits, limits going to infinity, L'Hopital's rule, continuity, special cases of continuity, squeeze theorem, and intermediate value theorem.
12
Jun
AC
Session 2
AP Calculus
We will cover Unit 2: Differentiation (definition and fundamental properties) - Defining the derivative of a function at a point and as a function, differentiability and continuity connected, determining derivatives for elementary functions, applying differentiation rules (product, quotient), secant lines, tangent lines, and average rate of change.
13
Jun
AC
Session 3
AP Calculus
We will continue covering Unit 2 and doing official AP problems from the past 10-15 years.
19
Jun
AC
Session 4
AP Calculus
We will cover Unit 3: Differentiation (Composite, implicit, and inverse functions) - Chain rule, inverse functions, inverse trig functions, implicit differentiation, and higher-order derivatives
20
Jun
AC
Session 5
AP Calculus
We will cover Unit 4: Contextual applications of differentiation - representations of real-world problems involving rates of change, applying differentiation to problems involving motion, generalizing understandings of motion problems to other situations involving rates of change, related rates, and local linearity and approximation.
21
Jun
AC
Session 6
AP Calculus
We will continue covering Unit 4 and doing official AP problems from the past 10-15 years.
26
Jun
AC
Session 7
AP Calculus
We will cover Unit 5: Analytical applications of derivatives - Mean value theorem, extreme value theorem, first derivative test, second derivative test, candidates test, concavity, inflection points, graphs of f/f'/f'' relationships, and implicit relations. Note: Although optimization is technically part of the curriculum, it's not typically tested on the AP. Therefore, we will not be doing optimization problems. However, I can make a separate series/session to tech optimization depending on the consensus.
27
Jun
AC
Session 8
AP Calculus
We will continue covering Unit 5 and doing official AP problems from the past 10-15 years.
28
Jun
AC
Session 9
AP Calculus
We will continue covering Unit 5 and doing official AP problems from the past 10-15 years.
3
Jul
AC
Session 10
AP Calculus
We will cover Unit 6: Integration and accumulation of change - definite integrals to determine accumulated change over an interval, riemann sums, fundamental theorem of calculus (both parts), indefinite integrals, integration techniques (u-sub, integration by parts, partial fractions), and improper integrals.
4
Jul
AC
Session 11
AP Calculus
We will continue covering Unit 6 and doing official AP problems from the past 10-15 years.
5
Jul
AC
Session 12
AP Calculus
We will continue covering Unit 6 and doing official AP problems from the past 10-15 years.
9
Jul
AC
Session 13
AP Calculus
We will cover Unit 7: Differential equations - slope fields, slope fields, Euler's method, solving separable differential equations to find general and particular solutions, and exponential and logistic models.
10
Jul
AC
Session 14
AP Calculus
We will continue covering Unit 7 and doing official AP problems from the past 10-15 years.
11
Jul
AC
Session 15
AP Calculus
We will continue covering Unit 7 and doing official AP problems from the past 10-15 years.
16
Jul
AC
Session 16
AP Calculus
We will cover Unit 8: Applications of integrals - average value, particle motion, accumulation problems, area between curves, volume with cross-sections, disc method, washer method, and arc length of planar curve and distance.
17
Jul
AC
Session 17
AP Calculus
We will continue covering Unit 8 and doing official AP problems from the past 10-15 years.
19
Jul
AC
Session 18
AP Calculus
We will continue covering Unit 8 and doing official AP problems from the past 10-15 years.
23
Jul
AC
Session 19
AP Calculus
We will cover Unit 9: Parametic equations, polar coordinates, and vector-valued functions - derivatives of parametric functions and vector-valued functions, accumulation of change in length over an interval using a definite integral, position of a particle moving in a plane, finding derivatives of functions written in polar coordinates, finding the area of regions bounded by polar curves, and calculating velocity, speed, and acceleration of a particle moving along a curve.
24
Jul
AC
Session 20
AP Calculus
We will continue covering Unit 9 and doing official AP problems from the past 10-15 years.
25
Jul
AC
Session 21
AP Calculus
We will continue covering Unit 9 and doing official AP problems from the past 10-15 years.
26
Jul
OH
Session 22
Office Hours
This session is for Manya S. to go over Midterm problems from university. If you do join, please note that the focus will be directed towards the intended learner.
OH
Session 23
Office Hours
Review topics such as Euler's method, slope fields, and complex integration techniques with Katya G. If you do join, please note that the focus will be directed towards the intended learner.
31
Jul
AC
Session 24
AP Calculus
We will cover Unit 10: Infinite sequences and series - applying limits to understand convergence of infinite series, series (geometric, harmonic, and p-series), test for divergence and several tests for convergence, approximating sums of convergent infinite series and associated error bounds, determining the radius and interval of convergence for a series, and representing a function as a Taylor series or a Maclaurin series.
1
Aug
AC
Session 25
AP Calculus
We will continue covering Unit 10 and doing official AP problems from the past 10-15 years.
2
Aug
AC
Session 26
AP Calculus
We will continue covering Unit 10 and doing official AP problems from the past 10-15 years.