Name: Conservative Fields, Line Integrals, Closed Loops, Potential Functions - Calculus 3
Uploaded: 2025-06-05T14:00:00+00:00
Duration: 37 min 57 s
Description: This video explains conservative vector fields (e.g. gravitational and electric), including path independence and work, line integrals over closed loops and fundamental theorem, gradient of and findin

4 months ago

Health & Science Education calculus 3 vector calculus calculus conservative vector fields conservative force fields calculus line integrals conservative vector field conservative irrotational vector fields vector calculus

This video explains conservative vector fields (e.g. gravitational and electric), including path independence and work, line integrals over closed loops and fundamental theorem, gradient of and finding potential functions, testing for conservative fields using the component test, exact differentials for evaluating work and flow integrals, and worked example practice problems.

0:00 Conservative fields
3:38 Line integrals in conservative fields
9:49 Line integrals over closed loops
11:31 Testing for conservative fields and finding potentials
16:45 Exact differentials
20:14 Worked examples