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math_20e_syllabus

math_20e_syllabus - 4.3 1.5 Vector fields and flow lines...

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20E Syllabus - Vector Calculus Lecture Schedule based on Marsden and Tromba, Vector Calculus , Freeman 2004 Section Lectures Topic 1.1-1.2 1 Vectors, scalar product 1.3 0.5 Cross product, determinants 1.5 0.5 Matrix multiplication, linear maps 1.4 , 2.1 1 Cylindrical, spherical coordinates, surfaces 2.2-2.3 1 Derivatives 2.4-2.5 1.5 Curves, the chain rule 2.6 0.5 Gradient 3.1-3.2 1 Taylors Theorem (3.5 – Implicit Function Theorem) 4.1-4.2 1 Parametrized curves and arclength
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Unformatted text preview: 4.3 1.5 Vector fields and flow lines 4.4 0.5 Divergence and curl 5.1-5.4 1 Areas and double and iterated integrals 5.5 1 Triple integrals 6.1-6.2 2 Change of Variables 7.1-7.2 1.5 Path, line integrals 7.3 0.5 Parametrized surface 7.4 1 Area of surface 7.5-7.6 4 Integrals over surfaces 8.1 1 Green’s Theorem 8.2 1 Stokes Theorem 8.3 1 Conservation Fields 8.4 1 Gauss’s Theorem (8.5 – Maxwell’s equations, Fluid mechanics and 8.6 – Differential forms...
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