Difference between revisions of "Prep 2011 workshop Linear Algebra Assignment Status"
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− | ! Questions |
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+ | ! NPL |
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+ | ! Custom |
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! Updated |
! Updated |
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! Notes |
! Notes |
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− | | colspan=" |
+ | | colspan="5" | '''Vectors''' |
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|- |
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| Geometric objects - lines and planes || || || |
| Geometric objects - lines and planes || || || |
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− | |- |
+ | |- |
| Dot product and Vector Projections || || || |
| Dot product and Vector Projections || || || |
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+ | |- |
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+ | | Orthogonal decomposition |
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+ | |- |
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+ | | colspan="5" | '''Systems of equations and elimination''' |
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+ | |- |
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+ | | Row operations and Row Echelon Form || || || 2011-06-25 || |
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+ | |- |
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+ | | Gaussian elimination (Free variables & Consistency of solutions) || || || 2011-06-25 || |
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+ | |- |
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+ | | colspan="5" | '''Matrix operations and algebra''' |
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+ | |- |
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+ | | Matrix arithmetic || || || 2011-06-25 || |
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+ | |- |
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+ | | Matrix inverse || || || 2011-06-25 || || |
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+ | |- |
||
+ | | Matrix equations || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Determinant and Cramer's Rule || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Elementary matrices and LU Decomposition || || || 2011-06-25 || There are determinant of elementary matrix questions in the NPL in Linear Algebra/Matrices/Determinants |
||
+ | |- |
||
+ | | colspan="5" | '''Vector space preliminaries''' |
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+ | |- |
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+ | | Definition of a vector space and subspaces || || || 2011-06-25 || |
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+ | |- |
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+ | | Euclidean vector spaces || || || 2011-06-25 || |
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+ | |- |
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+ | | Linear combinations and span || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Linear independence || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Basis and orthogonal basis || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Coordinate vectors and change of basis || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Row space, column space, and null space || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Dimension and rank || || || 2011-06-25 || There are some "rank" problems in the NPL in Linear Algebra/Matrices/Matrix Operations |
||
+ | |- |
||
+ | | Geometric examples || || || 2011-06-25 || |
||
+ | |- |
||
+ | | colspan="5" | '''Linear transformations''' |
||
+ | |- |
||
+ | | Matrix of a linear transformation || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Reflections, rotations, dilations and projections || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Inverse of a transformation || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Kernel, range, injection, surjection || || || 2011-06-25 || |
||
+ | |- |
||
+ | | colspan="5" | '''Applications''' |
||
+ | |- |
||
+ | | Adjacency matrix || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Least squares || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Curve/surface fitting || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Mixture problems || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Simplex method || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Graph theory || || || 2011-06-25 || |
||
+ | |- |
||
+ | | Approximation of a function by a Fourier polynomial || || || 2011-06-25 || |
||
+ | |- |
||
+ | | colspan="5" | '''Eigenvalues and eigenvectors''' |
||
+ | |- |
||
+ | | Finding eigenvalues and eigenvectors || || || 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 || |
||
+ | |- |
||
+ | | colspan="5" | '''Inner product spaces and abstract vector spaces''' |
Revision as of 14:40, 25 June 2011
Current status of Linear Algebra Model Course Assignments
Topic | NPL | Custom | Updated | Notes | |
---|---|---|---|---|---|
Vectors | |||||
Geometric objects - lines and planes | |||||
Dot product and Vector Projections | |||||
Orthogonal decomposition | |||||
Systems of equations and elimination | |||||
Row operations and Row Echelon Form | 2011-06-25 | ||||
Gaussian elimination (Free variables & Consistency of solutions) | 2011-06-25 | ||||
Matrix operations and algebra | |||||
Matrix arithmetic | 2011-06-25 | ||||
Matrix inverse | 2011-06-25 | ||||
Matrix equations | 2011-06-25 | ||||
Determinant and Cramer's Rule | 2011-06-25 | ||||
Elementary matrices and LU Decomposition | 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 | 2011-06-25 | ||||
Euclidean vector spaces | 2011-06-25 | ||||
Linear combinations and span | 2011-06-25 | ||||
Linear independence | 2011-06-25 | ||||
Basis and orthogonal basis | 2011-06-25 | ||||
Coordinate vectors and change of basis | 2011-06-25 | ||||
Row space, column space, and null space | 2011-06-25 | ||||
Dimension and rank | 2011-06-25 | There are some "rank" problems in the NPL in Linear Algebra/Matrices/Matrix Operations | |||
Geometric examples | 2011-06-25 | ||||
Linear transformations | |||||
Matrix of a linear transformation | 2011-06-25 | ||||
Reflections, rotations, dilations and projections | 2011-06-25 | ||||
Inverse of a transformation | 2011-06-25 | ||||
Kernel, range, injection, surjection | 2011-06-25 | ||||
Applications | |||||
Adjacency matrix | 2011-06-25 | ||||
Least squares | 2011-06-25 | ||||
Curve/surface fitting | 2011-06-25 | ||||
Mixture problems | 2011-06-25 | ||||
Simplex method | 2011-06-25 | ||||
Graph theory | 2011-06-25 | ||||
Approximation of a function by a Fourier polynomial | 2011-06-25 | ||||
Eigenvalues and eigenvectors | |||||
Finding eigenvalues and eigenvectors | 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 |