Difference between revisions of "Prep 2011 workshop Linear Algebra Assignment Status"
Jump to navigation
Jump to search
Line 4: | Line 4: | ||
! NPL |
! NPL |
||
! Custom |
! Custom |
||
+ | ! Header |
||
! Updated |
! Updated |
||
! Notes |
! Notes |
||
|- |
|- |
||
− | | colspan=" |
+ | | colspan="6" | '''Vectors''' |
|- |
|- |
||
− | | Dot product and Vector Projections || 15 || || 2011-06-25 || |
+ | | Dot product and Vector Projections || 15 || || || 2011-06-25 || |
|- |
|- |
||
− | | Geometric objects - lines and planes || 14 || || 2011-06-25 || |
+ | | Geometric objects - lines and planes || 14 || || || 2011-06-25 || |
|- |
|- |
||
− | | Orthogonal decomposition || || || || |
+ | | Orthogonal decomposition || || || || || |
|- |
|- |
||
− | | colspan=" |
+ | | colspan="6" | '''Systems of equations and elimination''' |
|- |
|- |
||
− | | Row operations and Row Echelon Form || 11 || || 2011-06-25 || |
+ | | Row operations and Row Echelon Form || 11 || || || 2011-06-25 || |
|- |
|- |
||
− | | Gaussian elimination (Free variables & Consistency of solutions) || 27 || || 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 |
+ | | Rank of a Matrix || 2 || || || 2011-06-26 || There are some "rank" problems in the NPL in Linear Algebra/Matrices/Matrix Operations |
|- |
|- |
||
− | | colspan=" |
+ | | colspan="6" | '''Matrix operations and algebra''' |
|- |
|- |
||
− | | Matrix arithmetic || 15 || 1 || 2011-06-25 || |
+ | | Matrix arithmetic || 15 || 1 || || 2011-06-25 || |
|- |
|- |
||
− | | Matrix inverse || 17 || || 2011-06-26 || || |
+ | | Matrix inverse || 17 || || || 2011-06-26 || || |
|- |
|- |
||
− | | Matrix equations || 5 || || 2011-06-25 || |
+ | | Matrix equations || 5 || || || 2011-06-25 || |
|- |
|- |
||
− | | Determinant and Cramer's Rule || 30 || 1 || 2011-06-26 || Need to add Cramer's rule Qs |
+ | | Determinant and Cramer's Rule || 30 || 1 || || 2011-06-26 || Need to add Cramer's rule Qs |
|- |
|- |
||
− | | Elementary matrices and LU Decomposition || 3 || 2 || 2011-06-25 || There are determinant of elementary matrix questions in the NPL in Linear Algebra/Matrices/Determinants |
+ | | Elementary matrices and LU Decomposition || 3 || 2 || || 2011-06-25 || There are determinant of elementary matrix questions in the NPL in Linear Algebra/Matrices/Determinants |
|- |
|- |
||
− | | colspan=" |
+ | | colspan="6" | '''Vector space preliminaries''' |
|- |
|- |
||
− | | Definition of a vector space and subspaces || 8 || || 2011-06-26 || |
+ | | Definition of a vector space and subspaces || 8 || || || 2011-06-26 || |
|- |
|- |
||
− | | Euclidean vector spaces || 4 || || 2011-06-25 || |
+ | | Euclidean vector spaces || 4 || || || 2011-06-25 || |
|- |
|- |
||
− | | Linear combinations and span || 14 || || 2011-06-26 || |
+ | | Linear combinations and span || 14 || || || 2011-06-26 || |
|- |
|- |
||
− | | Linear independence || 13 || || 2011-06-26 || |
+ | | Linear independence || 13 || || || 2011-06-26 || |
|- |
|- |
||
− | | Basis and dimension || 26 || || 2011-06-26 || |
+ | | Basis and dimension || 26 || || || 2011-06-26 || |
|- |
|- |
||
− | | Coordinate vectors and change of basis || || || || |
+ | | 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? |
+ | | 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 || || || || |
+ | | Geometric examples || || || || || |
|- |
|- |
||
− | | colspan=" |
+ | | colspan="6" | '''Linear transformations''' |
|- |
|- |
||
− | | Definition of a linear transformation || 1 || || 2011-06-26 || |
+ | | Definition of a linear transformation || 1 || || || 2011-06-26 || |
|- |
|- |
||
− | | Matrix of a linear transformation || 16 || || 2011-06-26 || |
+ | | Matrix of a linear transformation || 16 || || || 2011-06-26 || |
|- |
|- |
||
− | | Reflections, rotations, dilations and projections || || || || |
+ | | Reflections, rotations, dilations and projections || || || || || |
|- |
|- |
||
− | | Inverse of a transformation || || || || |
+ | | Inverse of a transformation || || || || || |
|- |
|- |
||
− | | Kernel, range, injection, surjection || || || || |
+ | | Kernel, range, injection, surjection || || || || || |
|- |
|- |
||
− | | colspan=" |
+ | | colspan="6" | '''Applications''' |
|- |
|- |
||
− | | Adjacency matrix || || 1 || 2011-06-26 || |
+ | | Adjacency matrix || || 1 || || 2011-06-26 || |
|- |
|- |
||
− | | Least squares Approximation || || || || |
+ | | Least squares Approximation || || || || || |
− | |- |
+ | |- |
− | | Curve/surface fitting || || || || |
+ | | Curve/surface fitting || || || || || |
|- |
|- |
||
− | | Mixture problems || || || || |
+ | | Mixture problems || || || || || |
|- |
|- |
||
− | | Simplex method || || || || |
+ | | Simplex method || || || || || |
|- |
|- |
||
− | | Graph theory || || || || |
+ | | Graph theory || || || || || |
|- |
|- |
||
− | | Approximation of a function by a Fourier polynomial || || || || |
+ | | Approximation of a function by a Fourier polynomial || || || || || |
|- |
|- |
||
− | | Quadratic Forms || || || || |
+ | | Quadratic Forms || || || || || |
|- |
|- |
||
− | | colspan=" |
+ | | colspan="6" | '''Eigenvalues and eigenvectors''' |
|- |
|- |
||
− | | Finding eigenvalues and eigenvectors || 12 || || 2011-06-25 || |
+ | | Finding eigenvalues and eigenvectors || 12 || || || 2011-06-25 || |
|- |
|- |
||
− | | Eigenspaces || || || 2011-06-25 || |
+ | | Eigenspaces || || || || 2011-06-25 || |
|- |
|- |
||
− | | Diagonalization || || || 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 |
+ | | 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 || |
+ | | Quadratic forms || || || || 2011-06-25 || |
|- |
|- |
||
− | | colspan=" |
+ | | colspan="6" | '''Inner product spaces and abstract vector spaces''' |
|- |
|- |
||
− | | Inner Product Spaces, Length, Orthogonality || || || || |
+ | | Inner Product Spaces, Length, Orthogonality || || || || || |
|- |
|- |
||
− | | Orthonormal Bases || || || || |
+ | | Orthonormal Bases || || || || || |
|- |
|- |
||
− | | Orthogonal Projections. Orthogonal Complements || || || || |
+ | | Orthogonal Projections. Orthogonal Complements || || || || || |
|- |
|- |
||
− | | Gram-Schmidt Process || || || 2011-06-25 || |
+ | | Gram-Schmidt Process || || || || 2011-06-25 || |
|- |
|- |
||
− | | QR Factorization || || || || |
+ | | QR Factorization || || || || || |
|- |
|- |
||
− | | Diagonalization of Symmetric Matrices || || || || |
+ | | Diagonalization of Symmetric Matrices || || || || || |
|- |
|- |
||
− | | Singular Value Decomposition || || || || |
+ | | Singular Value Decomposition || || || || || |
|- |
|- |
||
− | | || colspan=" |
+ | | || colspan="4" | || |
Revision as of 10:34, 26 June 2011
Current status of Linear Algebra Model Course Assignments
Topic | NPL | Custom | Header | 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 | 15 | 1 | 2011-06-25 | |||
Matrix inverse | 17 | 2011-06-26 | ||||
Matrix equations | 5 | 2011-06-25 | ||||
Determinant and Cramer's Rule | 30 | 1 | 2011-06-26 | Need to add Cramer's rule Qs | ||
Elementary matrices and LU Decomposition | 3 | 2 | 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 | ||||||
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 | ||||||