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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+ | | Dot product and Vector Projections || 15 || || 2011-06-25 || |
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| Geometric objects - lines and planes || 14 || || 2011-06-25 || |
| Geometric objects - lines and planes || 14 || || 2011-06-25 || |
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− | | 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 || 11 || || 2011-06-25 || |
+ | | Row operations and Row Echelon Form || 11 || || 2011-06-25 || |
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| Gaussian elimination (Free variables & Consistency of solutions) || 27 || || 2011-06-25 || |
| Gaussian elimination (Free variables & Consistency of solutions) || 27 || || 2011-06-25 || |
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− | | Rank of a Matrix || 2 || || 2011-06-26 || There are some "rank" problems in the NPL in Linear Algebra/Matrices/Matrix Operations |
+ | | Rank of a Matrix || 2 || || 2011-06-26 || There are some "rank" problems in the NPL in Linear Algebra/Matrices/Matrix Operations |
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| colspan="5" | '''Matrix operations and algebra''' |
| colspan="5" | '''Matrix operations and algebra''' |
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− | | Matrix arithmetic || 16 || || 2011-06-25 || |
+ | | Matrix arithmetic || 16 || || 2011-06-25 || |
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− | | Matrix inverse || |
+ | | Matrix inverse || 17 || || 2011-06-26 || || |
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− | | Matrix equations || 5 || || 2011-06-25 || |
+ | | Matrix equations || 5 || || 2011-06-25 || |
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− | | Determinant and Cramer's Rule || |
+ | | Determinant and Cramer's Rule || 31 || || 2011-06-26 || Need to add Cramer's rule Qs |
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− | | Elementary matrices and LU Decomposition || 5 || || 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 || 8 || || 2011-06-26 || |
+ | | Definition of a vector space and subspaces || 8 || || 2011-06-26 || |
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− | | Euclidean vector spaces || 4 || || 2011-06-25 || |
+ | | Euclidean vector spaces || 4 || || 2011-06-25 || |
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− | | Linear combinations and span || 14 || || 2011-06-26 || |
+ | | Linear combinations and span || 14 || || 2011-06-26 || |
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− | | Linear independence || 13 || || 2011-06-26 || |
+ | | Linear independence || 13 || || 2011-06-26 || |
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− | | Basis and dimension || 26 || || 2011-06-26 || |
+ | | Basis and dimension || 26 || || 2011-06-26 || |
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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. Rank and Nullity || 7 || || 2011-06-26 || 5 problems say "kernel" and "image." Change to Column space & null space? |
| Row space, column space, and null space. Rank and Nullity || 7 || || 2011-06-26 || 5 problems say "kernel" and "image." Change to Column space & null space? |
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− | | Geometric examples || || || || |
+ | | Geometric examples || || || || |
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| colspan="5" | '''Linear transformations''' |
| colspan="5" | '''Linear transformations''' |
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− | | Definition of a linear transformation || || || |
+ | | Definition of a linear transformation || 1 || || 2011-06-26 || |
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− | | Matrix of a linear transformation || || || |
+ | | Matrix of a linear transformation || 16 || || 2011-06-26 || |
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| Reflections, rotations, dilations and projections || || || || |
| Reflections, rotations, dilations and projections || || || || |
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| colspan="5" | '''Applications''' |
| colspan="5" | '''Applications''' |
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− | | Adjacency matrix || || || |
+ | | Adjacency matrix || 1 || || 2011-06-26 || |
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− | | Least squares Approximation|| || || || should this be in Inner Product Spaces? |
+ | | Least squares Approximation || || || || should this be in Inner Product Spaces? |
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| Curve/surface fitting || || || || |
| Curve/surface fitting || || || || |
Revision as of 10:14, 26 June 2011
Current status of Linear Algebra Model Course Assignments
Topic | NPL | Custom | Updated | Notes | |
---|---|---|---|---|---|
Vectors | |||||
Dot product and Vector Projections | 15 | 2011-06-25 | |||
Geometric objects - lines and planes | 14 | 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 | |||
Rank of a Matrix | 2 | 2011-06-26 | There are some "rank" problems in the NPL in Linear Algebra/Matrices/Matrix Operations | ||
Matrix operations and algebra | |||||
Matrix arithmetic | 16 | 2011-06-25 | |||
Matrix inverse | 17 | 2011-06-26 | |||
Matrix equations | 5 | 2011-06-25 | |||
Determinant and Cramer's Rule | 31 | 2011-06-26 | 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 | 8 | 2011-06-26 | |||
Euclidean vector spaces | 4 | 2011-06-25 | |||
Linear combinations and span | 14 | 2011-06-26 | |||
Linear independence | 13 | 2011-06-26 | |||
Basis and dimension | 26 | 2011-06-26 | |||
Coordinate vectors and change of basis | |||||
Row space, column space, and null space. Rank and Nullity | 7 | 2011-06-26 | 5 problems say "kernel" and "image." Change to Column space & null space? | ||
Geometric examples | |||||
Linear transformations | |||||
Definition of a linear transformation | 1 | 2011-06-26 | |||
Matrix of a linear transformation | 16 | 2011-06-26 | |||
Reflections, rotations, dilations and projections | |||||
Inverse of a transformation | |||||
Kernel, range, injection, surjection | |||||
Applications | |||||
Adjacency matrix | 1 | 2011-06-26 | |||
Least squares Approximation | should this be in Inner Product Spaces? | ||||
Curve/surface fitting | |||||
Mixture problems | |||||
Simplex method | |||||
Graph theory | |||||
Approximation of a function by a Fourier polynomial | |||||
Quadratic Forms | |||||
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 | |||||
Inner Product Spaces, Length, Orthogonality | |||||
Orthonormal Bases | |||||
Orthogonal Projections. Orthogonal Complements | |||||
Gram-Schmidt Process | 2011-06-25 | ||||
QR Factorization | |||||
Diagonalization of Symmetric Matrices | |||||
Singular Value Decomposition | |||||