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Matrices and Linear Transformations; Determinants; Spectral Theory; Vector Valued Functions; Vector Valued Functions of One Variable; Motion on a Space Curve; Some Curvilinear Coordinate Systems; Functions of Many Variables; The Derivative of a Function of Many Variables; Optimization; The Riemann Integral on ℝn; The Integral in Other Coordinates; The Integral on Two Dimensional Surfaces in ℝ3; Calculus of Vector Fields; Stokes and Green’s Theorems.

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