Multivariable Calculus Speedrun

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Multivariable Calculus Speedrun

SAT Score Range

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8 sessions

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Home

About

This series ended on August 24, 2022. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

We will be learning multivariable calculus in eight days! This will be more of a lecture-type series about multivariable calculus concepts. I strongly recommend that you have taken Calculus because knowledge of the concepts covered in this series requires an understanding of calculus.

Tutored by

Sophia C 🇺🇸

Certified in 9 topics

View Profile

Hi, I'm Sophia and I'm a high school senior. I like to learn and help people!

Schedule

✋ ATTENDANCE POLICY

Please do not miss any sessions! A lot of content will be covered in each session, and later concepts build on earlier ones.

SESSION 1

17

Aug

SESSION 1

Even More Math

Wed 1:30 PM - 3:30 PM UTCAug 17, 1:30 PM - 3:30 PM UTC

Unit 1: Vectors and Matrices 
We will be going over vectors in 2D and 3D space, the dot product and cross product, matrices and determinants, and cylindrical and spherical coordinates.

SESSION 2

18

Aug

SESSION 2

Even More Math

Thu 1:30 PM - 3:30 PM UTCAug 18, 1:30 PM - 3:30 PM UTC

Unit 2: Limits and Differentiation 
We will be going over the geometry of real-valued functions, limits and continuity, differentiation, paths and curves, derivative properties, and gradients and directional derivatives.

SESSION 3

19

Aug

SESSION 3

Even More Math

Fri 1:30 PM - 3:30 PM UTCAug 19, 1:30 PM - 3:30 PM UTC

Unit 3: Higher-Order Derivatives, Maxima, and Minima 
We will be going over iterated partial derivatives, Taylor's theorem, extrema, and constrained extrema.

SESSION 4

20

Aug

SESSION 4

Even More Math

Sat 1:30 PM - 3:30 PM UTCAug 20, 1:30 PM - 3:30 PM UTC

Unit 4: Vector-Valued Functions 
We will be going over acceleration and Newton's second law, arc length, vector fields, divergence, and curl.

SESSION 5

21

Aug

SESSION 5

Even More Math

Sun 1:30 PM - 3:30 PM UTCAug 21, 1:30 PM - 3:30 PM UTC

Unit 5: Double and Triple Integrals 
We will be going over the double integral, triple integral, and changing the order of integration.

SESSION 6

22

Aug

SESSION 6

Even More Math

Mon 1:30 PM - 3:30 PM UTCAug 22, 1:30 PM - 3:30 PM UTC

Unit 6: Change of Variables and Applications 
We will be going over the geometry of maps from ℝ^2 to ℝ^2, the change of variables theorem, and applications.

SESSION 7

23

Aug

SESSION 7

Even More Math

Tue 1:30 PM - 3:30 PM UTCAug 23, 1:30 PM - 3:30 PM UTC

Unit 7: Integrals Over Paths and Surfaces 
We will be going over the path integral, line integral, parametrized surfaces, the area of a surface, the integral of a scalar function over a surface, and the surface integral of a vector field.

SESSION 8

24

Aug

SESSION 8

Even More Math

Wed 1:30 PM - 3:30 PM UTCAug 24, 1:30 PM - 3:30 PM UTC

Unit 8: Integral Theorems 
We will be going over Green's theorem, Stokes' theorem, conservative fields, and Gauss' theorem.

Public Discussion

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Aug 17 - Aug 24

2 weeks

120 mins

/ session

SCHEDULE

Wednesdays

1:30PM

Thursdays

1:30PM

Fridays

1:30PM

Saturdays

1:30PM

Sundays

1:30PM

Mondays

1:30PM

Tuesdays

1:30PM