Multivariable Calculus
SAT Score Range
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7 sessions
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EY
CM
JD
+5
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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.
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SESSION 1
11
Jun
SESSION 1
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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
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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
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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
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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
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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
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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
2
Jul
SESSION 7
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Wed 2:00 PM - 3:00 PM UTCJul 2, 2:00 PM - 3:00 PM UTC
Directional Derivatives and Partial Derivatives continued