Multivariable Calculus in a nutshell
SAT Score Range
•
5 sessions
•
SK
KO
SL
+12
This series ended on June 20, 2023. All 1:1 and group chats related to this series are disabled 7 days after the last session.
About
A glimpse into a typical Calculus III course in the United States, which typically covers multivaraible and vector calculus.
This is meant as an introduction to Calculus III. We will NOT go in depth into the subject, mostly due to time constraints. It is assumed and expected that anyone who signs up for this series is familiar and proficent with Calculus I and Calculus II.
TIMES/DATES ARE SUBJECT TO CHANGE, WITH UP TO 36 HOUR NOTICE.
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Schedule
✋ ATTENDANCE POLICY
I'm not keeping attendance. Show up if you want, don't show up if you can't.
SESSION 1
4
Jun
SESSION 1
Even More Math
Even More Math
Sun 10:00 PM - Mon, 12:00 AM UTCJun 4, 10:00 PM - Jun 5, 12:00 AM UTC
Module 1: Three-Dimensional Space & Vectors
• Intros / Expectations
• Representing points and surfaces in three dimensions
• Vectors: what they are
• Dot Product & Cross Product
• Planes, Lines / Distances Between
• Quartic Surfaces & Cylinders
• Vector-Valued Functions
SESSION 2
8
Jun
SESSION 2
Office Hours
Office Hours
Thu 12:00 AM - 1:00 AM UTCJun 8, 12:00 AM - 1:00 AM UTC
Module 1 Office Hours
Sitting in here, ready to answer questions about the last module.
8:00 - 9:00 PM EDT
SESSION 3
11
Jun
SESSION 3
Even More Math
Even More Math
Sun 10:00 PM - 11:30 PM UTCJun 11, 10:00 PM - 11:30 PM UTC
Module 2: Limits, Continuity, & Partial Differentiation
• Functions in Several Variables
• Limits & Continuity
• The Partial Derivative
• Tangent Planes
• Chain Rule
• DIrectional Derivatives & Gradient
• The Lagrange Multiplier
SESSION 4
15
Jun
SESSION 4
Even More Math
Even More Math
Thu 1:00 AM - 2:30 AM UTCJun 15, 1:00 AM - 2:30 AM UTC
Module 2: Limits, Continuity, & Partial Differentiation
• Functions in Several Variables
• Limits & Continuity
• The Partial Derivative
• Tangent Planes
• Chain Rule
• DIrectional Derivatives & Gradient
• The Lagrange Multiplier
SESSION 5
19
Jun
SESSION 5
Even More Math
Even More Math
Mon 11:30 PM - Tue, 1:00 AM UTCJun 19, 11:30 PM - Jun 20, 1:00 AM UTC
Module 3: Multiple Integration
• Polar, Cylindrical, and Spherical Coordinates
• Double Integrals
• Triple Integrals
• Change of Variables