Difference between revisions of "Prep 2011 workshop Linear Algebra Assignment Status"

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! NPL
  
! NPL
 
! Custom
  
! Custom
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! Header
 
! Updated
  
! Updated
 
! Notes
  
! Notes
 
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| colspan="5" | '''Vectors'''
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| colspan="6" | '''Vectors'''
 
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| Dot product and Vector Projections || 15 || || 2011-06-25 ||
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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 ||
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| Geometric objects - lines and planes || 14 || || || 2011-06-25 ||
 
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| Orthogonal decomposition || || || ||
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| Orthogonal decomposition || || || || ||
 
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| colspan="5" | '''Systems of equations and elimination'''
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| colspan="6" | '''Systems of equations and elimination'''
 
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| Row operations and Row Echelon Form || 11 || || 2011-06-25 ||
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| 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 ||
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| 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
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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
 
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| colspan="5" | '''Matrix operations and algebra'''
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| colspan="6" | '''Matrix operations and algebra'''
 
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| Matrix arithmetic || 15 || 1 || 2011-06-25 ||
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| Matrix arithmetic || 15 || 1 || || 2011-06-25 ||
 
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| Matrix inverse || 17 || || 2011-06-26 || ||
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| Matrix inverse || 17 || || || 2011-06-26 || ||
 
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| Matrix equations || 5 || || 2011-06-25 ||
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| Matrix equations || 5 || || || 2011-06-25 ||
 
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| Determinant and Cramer's Rule || 30 || 1 || 2011-06-26 || Need to add Cramer's rule Qs
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| Determinant and Cramer's Rule || 30 || 1 || || 2011-06-26 || Need to add Cramer's rule Qs
 
|-
 
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| 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
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| 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
 
|-
 
|-
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| colspan="5" | '''Vector space preliminaries'''
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| colspan="6" | '''Vector space preliminaries'''
 
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| Definition of a vector space and subspaces || 8 || || 2011-06-26 ||
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| Definition of a vector space and subspaces || 8 || || || 2011-06-26 ||
 
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| Euclidean vector spaces || 4 || || 2011-06-25 ||
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| Euclidean vector spaces || 4 || || || 2011-06-25 ||
 
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| Linear combinations and span || 14 || || 2011-06-26 ||
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| Linear combinations and span || 14 || || || 2011-06-26 ||
 
|-
 
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| Linear independence || 13 || || 2011-06-26 ||
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| Linear independence || 13 || || || 2011-06-26 ||
 
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| Basis and dimension || 26 || || 2011-06-26 ||
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| Basis and dimension || 26 || || || 2011-06-26 ||
 
|-
 
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| Coordinate vectors and change of basis || || || ||
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| 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?
 
|-
 
|-
−
| Geometric examples || || || ||
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| Geometric examples || || || || ||
 
|-
 
|-
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| colspan="5" | '''Linear transformations'''
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| colspan="6" | '''Linear transformations'''
 
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| Definition of a linear transformation || 1 || || 2011-06-26 ||
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| Definition of a linear transformation || 1 || || || 2011-06-26 ||
 
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| Matrix of a linear transformation || 16 || || 2011-06-26 ||
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| Matrix of a linear transformation || 16 || || || 2011-06-26 ||
 
|-
 
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| Reflections, rotations, dilations and projections || || || ||
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| Reflections, rotations, dilations and projections || || || || ||
 
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| Inverse of a transformation || || || ||
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| Inverse of a transformation || || || || ||
 
|-
 
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| Kernel, range, injection, surjection || || || ||
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| Kernel, range, injection, surjection || || || || ||
 
|-
 
|-
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| colspan="5" | '''Applications'''
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| colspan="6" | '''Applications'''
 
|-
 
|-
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| Adjacency matrix || || 1 || 2011-06-26 ||
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| Adjacency matrix || || 1 || || 2011-06-26 ||
 
|-
 
|-
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| Least squares Approximation || || || ||
+
| Least squares Approximation || || || || ||
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|-
 +
|-
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| Curve/surface fitting || || || ||
+
| Curve/surface fitting || || || || ||
 
|-
 
|-
−
| Mixture problems || || || ||
+
| Mixture problems || || || || ||
 
|-
 
|-
−
| 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 || || || || ||
 
|-
 
|-
−
| Quadratic Forms || || || ||
+
| Quadratic Forms || || || || ||
 
|-
 
|-
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| colspan="5" | '''Eigenvalues and eigenvectors'''
+
| colspan="6" | '''Eigenvalues and eigenvectors'''
 
|-
 
|-
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| 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="5" | '''Inner product spaces and abstract vector spaces'''
 +
| colspan="6" | '''Inner product spaces and abstract vector spaces'''
 
|-
 
|-
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| Inner Product Spaces, Length, Orthogonality || || || ||
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| 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 || || || || ||
 
|-
 
|-
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| || colspan="3" | ||
 +
| || 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
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