BL
NB
Noah B
Series Details
About
This course will cover all of AP Calculus AB/BC. Through several sessions we will cover the fundamentals of limits, derivatives, integrals, infinite series, and more. Additionally, this course will focus on preparing for the AP exam.
✋ ATTENDANCE POLICY
Try to show up to as many sessions as your schedule permits. Understand that I will not go back and reteach previous lessons.
Dates
December 18 - May 8
Learners
0 / 50
Total Sessions
25
About the Tutor
BL
NB
Hi! I'm a Junior in high school who self-studies primarily math and physics. Currently reading the book Algebra by Thomas W. Hungerford with plans to further my studies in Algebra and Analysis, as well as Discrete math and Physics later on. I have a passion for math and plan to have some fun tutoring math and physics here. Physics is interesting to see the applications of the math I learn.
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Upcoming Sessions
25
18
Dec
Lc
Session 1
Limits and continuity
Today we will cover limits and continuity, the backbone of calculus. Limits are crucial to define what we will learn later on, and they create the rigorous background we need to pursue the rest of calculus.
20
Dec
OH
Session 2
Office Hours
This is an office hours session to ask any questions you have from last lesson.
26
Dec
Dr
Session 3
Differentiation: definition and basic derivative rules
Today we will define Differentiation. Before calculus, there was no way to find the slope at a particular value, however using the concept of a limit, it is possible to make sense of this. The derivative has numerous applications in business and finance, physics, and many other areas, as we will see later in this course.
27
Dec
OH
Session 4
Office Hours
This is an office hours session to ask any questions you have from last lesson.
3
Jan
Df
Session 5
Differentiation: composite, implicit, and inverse functions
Today, we will learn more about differentiation, learning how to take the derivative of more tricky functions, like implicit or inverse functions. These are crucial to further expand what types of functions we can differentiate, potentially without even knowing an explicit expression for the function.
6
Jan
OH
Session 6
Office Hours
This is an office hours session to ask any questions you have from last lesson.
8
Jan
Cd
Session 7
Contextual applications of differentiation
Today we will learn all sorts of derivative applications. What shape container minimizes surface area for a set volume? How do we maximize profit? Minimize costs? These are all things we will cover today. We'll also learn how to analyze functions with their derivatives. When is a function concave up? How about concave down? Increasing or decreasing? These are all things we'll cover today. We'll wrap up derivatives today and head into integrals next.
10
Jan
OH
Session 8
Office Hours
This is an office hours session to ask any questions you have from last lesson.
15
Jan
Ic
Session 9
Integration and accumulation of change
Today we will define the integral. Ever wondered how to find the area of weird shapes? Today we'll learn how, and how that surprising relates to derivatives.
22
Jan
Ic
Session 10
Integration and accumulation of change
Today, we will learn several techniques on how to integrate a function. Just like derivatives, there are several tricks up our sleeve we can use to help us solve integrals.
29
Jan
Ic
Session 11
Integration and accumulation of change
Today, we will learn more techniques to help integrate functions. We will build on the techniques we made in the last lesson and wrap up the computational aspect of integrals today. AP Calc AB students may skip this lesson (or join if you want to learn some more calculus!)
5
Feb
De
Session 12
Differential equations
Today, we will learn how to apply our knowledge of integrals to solve basic differential equations. These equations are incredibly useful in areas like engineering, but for the AP test we only need to know the basics.
12
Feb
Ai
Session 13
Applications of integration
Today, we will learn how to apply our knowledge of integrals to solve real world problems. How do you find the amount of water in a container given the rate it's going in? How do we find a population given the rate it's growing? These are all questions we will answer today.
19
Feb
Pf
Session 14
Parametric equations, polar coordinates, and vector-valued functions
Today, we will cover a lot, from parametric equations, polar coordinates, and vector-valued functions. We will look at how these work and how they differ from the usual, rectangular coordinate functions we all know and love. AP Calc AB students may skip this lesson (or join if you want to learn some more calculus!)
26
Feb
Is
Session 15
Infinite sequences and series
Today, we will cover infinite series and sequences, what they are, and what it means to converge or diverge. We will later expand on these in the next session. AP Calc AB students may skip this lesson (or join if you want to learn some more calculus!)
5
Mar
Is
Session 16
Infinite sequences and series
Today is the final session before AP review! You've made it this far, and I'm incredibly proud of all of you. Today we will wrap up our last topic, convergence and divergence tests, as well as any other important information you should know for the AP exam. The rest of this course will be weekly AP review. AP Calc AB students may skip this lesson (or join if you want to learn some more calculus!)
12
Mar
AC
Session 17
AP Calculus
This is an AP Calc AB/BC Exam Prep session. We will go over AP type questions, past AP exams, and anything else to help prepare you for the AP test.
19
Mar
AC
Session 18
AP Calculus
This is an AP Calc AB/BC Exam Prep session. We will go over AP type questions, past AP exams, and anything else to help prepare you for the AP test.
26
Mar
AC
Session 19
AP Calculus
This is an AP Calc AB/BC Exam Prep session. We will go over AP type questions, past AP exams, and anything else to help prepare you for the AP test.
2
Apr
AC
Session 20
AP Calculus
This is an AP Calc AB/BC Exam Prep session. We will go over AP type questions, past AP exams, and anything else to help prepare you for the AP test.
9
Apr
AC
Session 21
AP Calculus
This is an AP Calc AB/BC Exam Prep session. We will go over AP type questions, past AP exams, and anything else to help prepare you for the AP test.
16
Apr
AC
Session 22
AP Calculus
This is an AP Calc AB/BC Exam Prep session. We will go over AP type questions, past AP exams, and anything else to help prepare you for the AP test.
23
Apr
AC
Session 23
AP Calculus
This is an AP Calc AB/BC Exam Prep session. We will go over AP type questions, past AP exams, and anything else to help prepare you for the AP test.
30
Apr
AC
Session 24
AP Calculus
This is an AP Calc AB/BC Exam Prep session. We will go over AP type questions, past AP exams, and anything else to help prepare you for the AP test.
7
May
AC
Session 25
AP Calculus
This is our last AP study session and the last session of the course! I wish everyone good luck on their exams, and the best of lucky in their future studies. It was awesome getting to know each and every one of you, and I want to say thank you. We will go over AP type questions, past AP exams, and anything else to help prepare you for the AP test.