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Multivariable Calculus

SAT Score Range

•

18 sessions

•

+9

This series ended on August 13, 2025. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

This session dives into core topics of multivariable and vector calculus, including partial derivatives, gradients, double/triple integrals, line and surface integrals, and vector fields. We’ll also explore the big theorems—Green’s, Stokes’, and the Divergence Theorem—and how they apply in physics and engineering. Learners will engage through hands-on problem-solving and conceptual discussions to build strong spatial intuition and mathematical reasoning across dimensions.

Tutored by

Nivaan K 🇺🇸

Certified in 9 topics

View Profile

High School Junior interested in Math, CS, Physics, and Engineering.

Schedule

✋ ATTENDANCE POLICY

Please do not miss sessions.

SESSION 1

11

Jun

SESSION 1

Other Topics

Other Topics

Wed 2:00 PM - 3:00 PM UTCJun 11, 2:00 PM - 3:00 PM UTC

Introduction, curriculum overview, and starting topics
SESSION 2

13

Jun

SESSION 2

Other Topics

Other Topics

Fri 2:00 PM - 3:00 PM UTCJun 13, 2:00 PM - 3:00 PM UTC

The dot product, the Cross Product, and distances.
SESSION 3

16

Jun

SESSION 3

Other Topics

Other Topics

Mon 2:00 PM - 3:00 PM UTCJun 16, 2:00 PM - 3:00 PM UTC

Distances continued, Vector Functions and Space Curves, Deriv. and Integrals of Vector Functions
SESSION 4

18

Jun

SESSION 4

Other Topics

Other Topics

Wed 2:00 PM - 3:00 PM UTCJun 18, 2:00 PM - 3:00 PM UTC

Arc Length, TNB, and Curvature 
SESSION 5

23

Jun

SESSION 5

Other Topics

Other Topics

Mon 2:00 PM - 3:00 PM UTCJun 23, 2:00 PM - 3:00 PM UTC

Arc Length, TNB, and Curvature 
SESSION 6

24

Jun

SESSION 6

Other Topics

Other Topics

Tue 2:00 PM - 3:00 PM UTCJun 24, 2:00 PM - 3:00 PM UTC

Recap and Limits/Intro to Partial Derivatives
SESSION 7

9

Jul

SESSION 7

Other Topics

Other Topics

Wed 2:00 PM - 3:00 PM UTCJul 9, 2:00 PM - 3:00 PM UTC

Directional Derivatives and Partial Derivatives continued
SESSION 8

11

Jul

SESSION 8

Other Topics

Other Topics

Fri 2:00 PM - 3:00 PM UTCJul 11, 2:00 PM - 3:00 PM UTC

Directional Derivatives and the Chain Rule
SESSION 9

14

Jul

SESSION 9

Other Topics

Other Topics

Mon 2:00 PM - 3:00 PM UTCJul 14, 2:00 PM - 3:00 PM UTC

The Chain Rule continued
SESSION 10

16

Jul

SESSION 10

Other Topics

Other Topics

Wed 2:00 PM - 3:00 PM UTCJul 16, 2:00 PM - 3:00 PM UTC

The Hessian and Minima/Maxima
SESSION 11

18

Jul

SESSION 11

Other Topics

Other Topics

Fri 2:00 PM - 3:00 PM UTCJul 18, 2:00 PM - 3:00 PM UTC

Lagrange Multipliers and Review
SESSION 12

23

Jul

SESSION 12

Other Topics

Other Topics

Wed 2:00 PM - 3:00 PM UTCJul 23, 2:00 PM - 3:00 PM UTC

Chain Rule Continued
SESSION 13

25

Jul

SESSION 13

Other Topics

Other Topics

Fri 2:00 PM - 3:00 PM UTCJul 25, 2:00 PM - 3:00 PM UTC

Chain Rule Continued and Local Maxima/Minima
SESSION 14

30

Jul

SESSION 14

Other Topics

Other Topics

Wed 2:00 PM - 3:00 PM UTCJul 30, 2:00 PM - 3:00 PM UTC

Chain Rule + Lagrange Multipliers
SESSION 15

1

Aug

SESSION 15

Other Topics

Other Topics

Fri 2:00 PM - 3:00 PM UTCAug 1, 2:00 PM - 3:00 PM UTC

Chain Rule + Lagrange Multipliers
SESSION 16

6

Aug

SESSION 16

Other Topics

Other Topics

Wed 2:00 PM - 3:00 PM UTCAug 6, 2:00 PM - 3:00 PM UTC

Lagrange Multipliers + Maxima/Minima
SESSION 17

8

Aug

SESSION 17

Other Topics

Other Topics

Fri 2:00 PM - 3:00 PM UTCAug 8, 2:00 PM - 3:00 PM UTC

Hessian and Review
SESSION 18

13

Aug

SESSION 18

Other Topics

Other Topics

Wed 2:00 PM - 3:00 PM UTCAug 13, 2:00 PM - 3:00 PM UTC

Double Integrals

Public Discussion

Please log in to see discussion on this series.

Jun 11 - Aug 13

10 weeks

60 mins

/ session

SCHEDULE

Wednesdays

2:00PM

Fridays

2:00PM