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60 Cards in this Set
- Front
- Back
Cylindrical coordinate system diagram |
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Cylindrical to rectangular coordinates |
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Rectangular to cylindrical |
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cos(2x)= ? |
cos(2x) = sin^2(x) - sin^(x) cos(2x) = 1 - 2sin^2(x) cos(2x) = ( 1 - tan^2(x) ) / ( 1 + tan^2(x) ) |
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Spherical coordinate system diagram |
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Spherical to rectangular |
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Rectangular to spherical |
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Limit of a vector function |
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cosh(x) = ? sinh(x) = ? |
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Derivative of Vector Function |
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Differentiation of vector functions |
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Integration of vector functions
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Rules of vector differentiation |
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Unit tangent vector: T(t) |
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Diagonal matrix |
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Vector addition and scaling |
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Matrix multiplication
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Row and column restriction on multiplying mxn and nxp |
n's must be equal. Columns of vector A must match rows of vector B. |
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How many rows and columns will an mxn and nxp multiplication produce? |
mxp -> p rows and m columns |
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Row column rule for computing vectors AxB |
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Properties of vector multiplication |
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Matrix multiplication warnings |
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Matrix powers |
(A^0)x = identity |
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Transpose of a matrix |
A^T = new matrix with rows and columns switched. Columns of A^T = rows of A. |
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Transposed matrix examples |
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Properties of transposed matrices |
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Matrix inverse equality |
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Singular vs nonsingular matrices |
Singular - not invertible Nonsingular - invertible |
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Formula for inverse of 2x2 matrix |
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Linear ch.2.2 Theorem 5 |
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Linear ch.2.2 Theorem 6 |
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Product of nxn invertible matrices |
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Elementary matrices from row operation |
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Invertibility of elementary matrix |
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Row equivalency of invertible matrices |
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Finding A^(-1) -> (Inverse of matrix A) |
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Invertible matrix theorem |
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Invertible matrix theorem: a |
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Invertible matrix theorem: b |
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Invertible matrix theorem: c |
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Invertible matrix theorem: d |
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Invertible matrix theorem: e |
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Invertible matrix theorem: f |
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Invertible matrix theorem: g |
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Invertible matrix theorem: h |
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Invertible matrix theorem: i |
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Invertible matrix theorem: j |
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Invertible matrix theorem: k |
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Invertible matrix theorem: l |
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Invertible linear transformation |
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Partial derivatives of z=f(x,y) |
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How to do partial derivatives of z=f(x,y) |
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Clairaut's theorem |
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d/dx arctan(x)=? |
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Differentiability of a function of 2 variables |
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Chain rule for functions involving 1 independent variable. |
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Chain rule for functions involving 2 independent variables. |
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Implicit differentiation with 1 independent variable. |
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Implicit differentiation with 2 independent variables. |
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