Review of Vector Functions – Concept Check

In this video, I go over the concept check review from the end of the vector functions chapter in my calculus book. I cover vector functions, space curves, their derivatives & integrals, curvature, corresponding planes, osculating circle, motion of a particle in space, and Kepler's Laws. There are 9 questions, which I read out at the beginning before solving them, in case you want to solve them yourself!

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math vectors calculus education conceptcheck

Timestamps

- Concept Check: Reading out the 9 questions – 0:00 - Question 1: Vector function calculus – 2:19 - Question 2: Space curves – 7:36 - Question 3: Tangent vector – 9:49 - Question 4: Differentiation rules – 14:39 - Question 5: Length of a space curve – 19:19 - Question 6: Curvature – 23:40 - Question 7: Unit normal, binormal planes, and osculating circle – 28:32 - Question 8: Velocity, speed, and acceleration – 34:08 - Question 9: Kepler's Laws – 38:49

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