Difference between revisions of "Prep 2011 workshop Linear Algebra Assignment Status"
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| colspan="5" | '''Vectors''' |
| colspan="5" | '''Vectors''' |
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− | | Geometric objects - lines and planes || || || 2011-06-25 || |
+ | | Geometric objects - lines and planes || 14 || || 2011-06-25 || |
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− | | Dot product and Vector Projections || || || 2011-06-25 || |
+ | | Dot product and Vector Projections || 15 || || 2011-06-25 || |
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− | | Orthogonal decomposition || || || |
+ | | Orthogonal decomposition || || || || |
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| colspan="5" | '''Systems of equations and elimination''' |
| colspan="5" | '''Systems of equations and elimination''' |
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− | | Row operations and Row Echelon Form || || || 2011-06-25 || |
+ | | Row operations and Row Echelon Form || 11 || || 2011-06-25 || |
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− | | Gaussian elimination (Free variables & Consistency of solutions) || || || 2011-06-25 || |
+ | | Gaussian elimination (Free variables & Consistency of solutions) || 27 || || 2011-06-25 || |
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| colspan="5" | '''Matrix operations and algebra''' |
| colspan="5" | '''Matrix operations and algebra''' |
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− | | Matrix arithmetic || || || 2011-06-25 || |
+ | | Matrix arithmetic || 16 || || 2011-06-25 || |
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− | | Matrix inverse || || || 2011-06-25 || || |
+ | | Matrix inverse || 16 || || 2011-06-25 || || |
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− | | Matrix equations || || || 2011-06-25 || |
+ | | Matrix equations || 5 || || 2011-06-25 || |
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− | | Determinant and Cramer's Rule || || || 2011-06-25 || |
+ | | Determinant and Cramer's Rule || 28 || || 2011-06-25 || Need to add Cramer's rule Qs |
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− | | Elementary matrices and LU Decomposition || || || 2011-06-25 || There are determinant of elementary matrix questions in the NPL in Linear Algebra/Matrices/Determinants |
+ | | Elementary matrices and LU Decomposition || 5 || || 2011-06-25 || There are determinant of elementary matrix questions in the NPL in Linear Algebra/Matrices/Determinants |
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| colspan="5" | '''Vector space preliminaries''' |
| colspan="5" | '''Vector space preliminaries''' |
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− | | Definition of a vector space and subspaces || || || 2011-06-25 || |
+ | | Definition of a vector space and subspaces || 4 || || 2011-06-25 || |
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− | | Euclidean vector spaces || || || 2011-06-25 || |
+ | | Euclidean vector spaces || 4 || || 2011-06-25 || |
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− | | Linear combinations and span || || || 2011-06-25 || |
+ | | Linear combinations and span || 6 || || 2011-06-25 || |
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− | | Linear independence || || || |
+ | | Linear independence || || || || |
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− | | Basis and orthogonal basis || || || |
+ | | Basis and orthogonal basis || || || || |
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− | | Coordinate vectors and change of basis || || || |
+ | | Coordinate vectors and change of basis || || || || |
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− | | Row space, column space, and null space || || || |
+ | | Row space, column space, and null space || || || || |
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− | | Dimension and rank || || || |
+ | | Dimension and rank || || || || There are some "rank" problems in the NPL in Linear Algebra/Matrices/Matrix Operations |
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− | | Geometric examples || || || |
+ | | Geometric examples || || || || |
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| colspan="5" | '''Linear transformations''' |
| colspan="5" | '''Linear transformations''' |
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− | | Matrix of a linear transformation || || || |
+ | | Matrix of a linear transformation || || || || |
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− | | Reflections, rotations, dilations and projections || || || |
+ | | Reflections, rotations, dilations and projections || || || || |
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− | | Inverse of a transformation || || || |
+ | | Inverse of a transformation || || || || |
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− | | Kernel, range, injection, surjection || || || |
+ | | Kernel, range, injection, surjection || || || || |
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| colspan="5" | '''Applications''' |
| colspan="5" | '''Applications''' |
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− | | Adjacency matrix || || || |
+ | | Adjacency matrix || || || || |
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− | | Least squares || || || |
+ | | Least squares || || || || |
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− | | Curve/surface fitting || || || |
+ | | Curve/surface fitting || || || || |
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− | | Mixture problems || || || |
+ | | Mixture problems || || || || |
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− | | Simplex method || || || |
+ | | Simplex method || || || || |
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− | | Graph theory || || || |
+ | | Graph theory || || || || |
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− | | Approximation of a function by a Fourier polynomial || || || |
+ | | Approximation of a function by a Fourier polynomial || || || || |
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| colspan="5" | '''Eigenvalues and eigenvectors''' |
| colspan="5" | '''Eigenvalues and eigenvectors''' |
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− | | Finding eigenvalues and eigenvectors || || || 2011-06-25 || |
+ | | Finding eigenvalues and eigenvectors || 12 || || 2011-06-25 || |
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| Eigenspaces || || || 2011-06-25 || |
| Eigenspaces || || || 2011-06-25 || |
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| colspan="5" | '''Inner product spaces and abstract vector spaces''' |
| colspan="5" | '''Inner product spaces and abstract vector spaces''' |
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+ | |- |
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+ | | || colspan="3" | We still need sub topics || |
Revision as of 17:53, 25 June 2011
Current status of Linear Algebra Model Course Assignments
Topic | NPL | Custom | Updated | Notes | |
---|---|---|---|---|---|
Vectors | |||||
Geometric objects - lines and planes | 14 | 2011-06-25 | |||
Dot product and Vector Projections | 15 | 2011-06-25 | |||
Orthogonal decomposition | |||||
Systems of equations and elimination | |||||
Row operations and Row Echelon Form | 11 | 2011-06-25 | |||
Gaussian elimination (Free variables & Consistency of solutions) | 27 | 2011-06-25 | |||
Matrix operations and algebra | |||||
Matrix arithmetic | 16 | 2011-06-25 | |||
Matrix inverse | 16 | 2011-06-25 | |||
Matrix equations | 5 | 2011-06-25 | |||
Determinant and Cramer's Rule | 28 | 2011-06-25 | Need to add Cramer's rule Qs | ||
Elementary matrices and LU Decomposition | 5 | 2011-06-25 | There are determinant of elementary matrix questions in the NPL in Linear Algebra/Matrices/Determinants | ||
Vector space preliminaries | |||||
Definition of a vector space and subspaces | 4 | 2011-06-25 | |||
Euclidean vector spaces | 4 | 2011-06-25 | |||
Linear combinations and span | 6 | 2011-06-25 | |||
Linear independence | |||||
Basis and orthogonal basis | |||||
Coordinate vectors and change of basis | |||||
Row space, column space, and null space | |||||
Dimension and rank | There are some "rank" problems in the NPL in Linear Algebra/Matrices/Matrix Operations | ||||
Geometric examples | |||||
Linear transformations | |||||
Matrix of a linear transformation | |||||
Reflections, rotations, dilations and projections | |||||
Inverse of a transformation | |||||
Kernel, range, injection, surjection | |||||
Applications | |||||
Adjacency matrix | |||||
Least squares | |||||
Curve/surface fitting | |||||
Mixture problems | |||||
Simplex method | |||||
Graph theory | |||||
Approximation of a function by a Fourier polynomial | |||||
Eigenvalues and eigenvectors | |||||
Finding eigenvalues and eigenvectors | 12 | 2011-06-25 | |||
Eigenspaces | 2011-06-25 | ||||
Diagonalization | 2011-06-25 | ||||
Symmetric matrices & Trace | 2011-06-25 | There are some "trace" problems in the NPL in Linear Algebra/Matrices/Matrix Operations | |||
Quadratic forms | 2011-06-25 | ||||
Inner product spaces and abstract vector spaces | |||||
We still need sub topics |