Calculus: Zero to Hero!
SAT Score Range
•
11 sessions
•
TF
RR
LN
+27
This series ended on November 21, 2022. All 1:1 and group chats related to this series are disabled 7 days after the last session.
About
Calculus is essential for a deeper understanding of the physical and mathematical sciences. In cases when the progression of physical or mathematical events is not constant, calculus is a crucial tool for describing those events' past, present, and future! In short, calculus is used to look into changes smaller than we can imagine or observe the macroscopic accumulation of microscopic changes of events.
This series will focus on building intuition and problem-solving skills involving calculus in literally any topic (physics, chemistry, biology, economics, etc.) rather than monotonous exercise solving. It will be fun, I promise!
As the title suggests, no prior knowledge of calculus is required to attend the series. I will discuss the basics and build up on them in the first session. Then the series will progress towards tougher coursework from which even anyone taking Calc 2, AP Calc, and AP Physics can also benefit. You are also free to skip individual sessions if you are already familiar with that session's topic. But I would still encourage attending as you never know when you might learn something new or interesting. My goal is to make everyone able to learn by themselves. :)
May the second differential of your life be negative! :D
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Schedule
✋ ATTENDANCE POLICY
You are free to skip a session.
SESSION 1
10
Nov
SESSION 1
Orientation
Orientation
Thu 2:30 PM - 4:00 PM UTCNov 10, 2:30 PM - 4:00 PM UTC
We will get to know each other first.
I will discuss the foundations of differential and integral calculus and how to understand those intuitively. The overall discussion will be on how Newton implemented accuracy via approximation in calculus. This is the most astonishing thing in calculus!
SESSION 2
11
Nov
SESSION 2
Limits and continuity
Limits and continuity
Fri 2:30 PM - 4:00 PM UTCNov 11, 2:30 PM - 4:00 PM UTC
(The first fifteen minutes will be to briefly catch up on the previous session and answer your questions)
I will discuss how to intuitively understand the topic, critically think about problems on the topic, and apply that in other subjects (Physics, Chemistry, Biology, Economics, etc.).
SESSION 3
12
Nov
SESSION 3
Differentiation: composite, implicit, and inverse functions
Differentiation: composite, implicit, and inverse functions
Sat 2:30 PM - 4:00 PM UTCNov 12, 2:30 PM - 4:00 PM UTC
(The first fifteen minutes will be to briefly catch up on the previous session and answer your questions)
I will discuss how to intuitively understand the topic, critically think about problems on the topic, and apply that in other subjects (Physics, Chemistry, Biology, Economics, etc.).
SESSION 4
13
Nov
SESSION 4
Contextual applications of differentiation
Contextual applications of differentiation
Sun 2:30 PM - 4:00 PM UTCNov 13, 2:30 PM - 4:00 PM UTC
(The first fifteen minutes will be to briefly catch up on the previous session and answer your questions)
I will discuss how to intuitively understand the topic, critically think about problems on the topic, and apply that in other subjects (Physics, Chemistry, Biology, Economics, etc.).
SESSION 5
14
Nov
SESSION 5
Applying derivatives to analyze functions
Applying derivatives to analyze functions
Mon 2:30 PM - 4:00 PM UTCNov 14, 2:30 PM - 4:00 PM UTC
(The first fifteen minutes will be to briefly catch up on the previous session and answer your questions)
I will discuss how to intuitively understand the topic, critically think about problems on the topic, and apply that in other subjects (Physics, Chemistry, Biology, Economics, etc.).
SESSION 6
15
Nov
SESSION 6
Integration and accumulation of change
Integration and accumulation of change
Tue 3:15 PM - 4:45 PM UTCNov 15, 3:15 PM - 4:45 PM UTC
(The first fifteen minutes will be to briefly catch up on the previous session and answer your questions)
I will discuss how to intuitively understand the topic, critically think about problems on the topic, and apply that in other subjects (Physics, Chemistry, Biology, Economics, etc.).
SESSION 7
16
Nov
SESSION 7
Differential equations
Differential equations
Wed 2:30 PM - 4:00 PM UTCNov 16, 2:30 PM - 4:00 PM UTC
(The first fifteen minutes will be to briefly catch up on the previous session and answer your questions)
I will discuss how to intuitively understand the topic, critically think about problems on the topic, and apply that in other subjects (Physics, Chemistry, Biology, Economics, etc.).
SESSION 8
17
Nov
SESSION 8
Applications of integration
Applications of integration
Thu 2:30 PM - 4:00 PM UTCNov 17, 2:30 PM - 4:00 PM UTC
(The first fifteen minutes will be to briefly catch up on the previous session and answer your questions)
I will discuss how to intuitively understand the topic, critically think about problems on the topic, and apply that in other subjects (Physics, Chemistry, Biology, Economics, etc.).
SESSION 9
18
Nov
SESSION 9
Parametric equations, polar coordinates, and vector-valued functions
Parametric equations, polar coordinates, and vector-valued functions
Fri 2:30 PM - 4:00 PM UTCNov 18, 2:30 PM - 4:00 PM UTC
(The first fifteen minutes will be to briefly catch up on the previous session and answer your questions)
I will discuss how to intuitively understand the topic, critically think about problems on the topic, and apply that in other subjects (Physics, Chemistry, Biology, Economics, etc.).
SESSION 10
19
Nov
SESSION 10
Infinite sequences and series
Infinite sequences and series
Sat 4:15 PM - 5:45 PM UTCNov 19, 4:15 PM - 5:45 PM UTC
(The first fifteen minutes will be to briefly catch up on the previous session and answer your questions)
I will discuss how to intuitively understand the topic, critically think about problems on the topic, and apply that in other subjects (Physics, Chemistry, Biology, Economics, etc.).
SESSION 11
21
Nov
SESSION 11
Review
Review
Mon 3:30 PM - 5:00 PM UTCNov 21, 3:30 PM - 5:00 PM UTC
A thorough review of the overall series, answering your questions, and some advice. We will solve some creative and elegant problems (saved the best for the last!). I will also be providing everyone with problems that you can brainstorm yourselves. I will share further learning resources so that you can work on those yourselves. I hope that I will be able to inspire you to be great learners with never-ending curiosity.