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Bubbles. Stoke's theorem.
MAT21D: 2017-12-08 11:00
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Stokes' theorem, the divergence theorem. Comparison of the theorems and the fundamental theorem of calculus.
MAT21D: 2017-12-06 11:00
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Parameterization of a spherical surface. The east and south unit vectors. Surface area and surface integrals.
MAT21D: 2017-12-04 11:00
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Parameterized surfaces in three dimensions. The area element of a surface. The normal vector to a surface.
MAT21D: 2017-12-01 11:00
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Green's theorem in its two forms. Examples.
MAT21D: 2017-11-29 11:00
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The definition of the gradient, the divergence, and the curl.
MAT21D: 2017-11-27 11:00
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The directional derivative. Conservative vector fields, conservation of energy. Path independence.
MAT21D: 2017-11-22 11:00
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Circulation and Flux, examples.
MAT21D: 2017-11-20 11:00
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Definition of flow, circulation, and flux of a vector field through (or along) a curve.
MAT21D: 2017-11-17 11:00
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Newton's law of motion and the definition of work.
MAT21D: 2017-11-15 11:00
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Vector fields. Examples of the basic linear vector fields.
MAT21D: 2017-11-13 11:00
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Curvature and the unit normal. Interpretation. Line integrals and averaging.
MAT21D: 2017-11-08 11:00
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Arc length parameterization of curves. The helix.
MAT21D: 2017-11-06 11:00
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Curves in space. Solution of a particle acting under a constant gravitational force and gravity.
MAT21D: 2017-11-03 11:00
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Curve parameterizations and tangent vectors
MAT21D: 2017-11-01 11:00
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