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 ||
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| Geometric objects - lines and planes || 14 || || 2011-06-25 ||
 
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| Dot product and Vector Projections || || || 2011-06-25 ||
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| Dot product and Vector Projections || 15 || || 2011-06-25 ||
 
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| Orthogonal decomposition || || || 2011-06-25 ||
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| 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 ||
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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) || || || 2011-06-25 ||
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| 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 ||
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| Matrix arithmetic || 16 || || 2011-06-25 ||
 
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| Matrix inverse || || || 2011-06-25 || ||
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| Matrix inverse || 16 || || 2011-06-25 || ||
 
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| Matrix equations || || || 2011-06-25 ||
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| Matrix equations || 5 || || 2011-06-25 ||
 
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| Determinant and Cramer's Rule || || || 2011-06-25 ||
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| Determinant and Cramer's Rule || 28 || || 2011-06-25 || Need to add Cramer's rule Qs
 
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|-
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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
 
|-
 
|-
 
| colspan="5" | '''Vector space preliminaries'''
 
| colspan="5" | '''Vector space preliminaries'''
 
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| Definition of a vector space and subspaces || || || 2011-06-25 ||
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| Definition of a vector space and subspaces || 4 || || 2011-06-25 ||
 
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| Euclidean vector spaces || || || 2011-06-25 ||
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| Euclidean vector spaces || 4 || || 2011-06-25 ||
 
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| Linear combinations and span || || || 2011-06-25 ||
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| Linear combinations and span || 6 || || 2011-06-25 ||
 
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| Linear independence || || || 2011-06-25 ||
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| Linear independence || || || ||
 
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| Basis and orthogonal basis || || || 2011-06-25 ||
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| Basis and orthogonal basis || || || ||
 
|-
 
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| Coordinate vectors and change of basis || || || 2011-06-25 ||
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| Coordinate vectors and change of basis || || || ||
 
|-
 
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| Row space, column space, and null space || || || 2011-06-25 ||
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| Row space, column space, and null space || || || ||
 
|-
 
|-
−
| Dimension and rank || || || 2011-06-25 || There are some "rank" problems in the NPL in Linear Algebra/Matrices/Matrix Operations
+
| Dimension and rank || || || || There are some "rank" problems in the NPL in Linear Algebra/Matrices/Matrix Operations
 
|-
 
|-
−
| Geometric examples || || || 2011-06-25 ||
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| Geometric examples || || || ||
 
|-
 
|-
 
| colspan="5" | '''Linear transformations'''
 
| colspan="5" | '''Linear transformations'''
 
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|-
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| Matrix of a linear transformation || || || 2011-06-25 ||
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| Matrix of a linear transformation || || || ||
 
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| Reflections, rotations, dilations and projections || || || 2011-06-25 ||
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| Reflections, rotations, dilations and projections || || || ||
 
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| Inverse of a transformation || || || 2011-06-25 ||
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| Inverse of a transformation || || || ||
 
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| Kernel, range, injection, surjection || || || 2011-06-25 ||
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| Kernel, range, injection, surjection || || || ||
 
|-
 
|-
 
| colspan="5" | '''Applications'''
 
| colspan="5" | '''Applications'''
 
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| Adjacency matrix || || || 2011-06-25 ||
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| Adjacency matrix || || || ||
 
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| Least squares || || || 2011-06-25 ||
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| Least squares || || || ||
 
|-
 
|-
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| Curve/surface fitting || || || 2011-06-25 ||
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| Curve/surface fitting || || || ||
 
|-
 
|-
−
| Mixture problems || || || 2011-06-25 ||
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| Mixture problems || || || ||
 
|-
 
|-
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| Simplex method || || || 2011-06-25 ||
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| Simplex method || || || ||
 
|-
 
|-
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| Graph theory || || || 2011-06-25 ||
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| Graph theory || || || ||
 
|-
 
|-
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| Approximation of a function by a Fourier polynomial || || || 2011-06-25 ||
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| Approximation of a function by a Fourier polynomial || || || ||
 
|-
 
|-
 
| colspan="5" | '''Eigenvalues and eigenvectors'''
 
| colspan="5" | '''Eigenvalues and eigenvectors'''
 
|-
 
|-
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| Finding eigenvalues and eigenvectors || || || 2011-06-25 ||
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| Finding eigenvalues and eigenvectors || 12 || || 2011-06-25 ||
 
|-
 
|-
 
| 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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| || 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
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