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

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(Created page with '== Current status of Linear Algebra Model Course Assignments == {| border="1" align="center" style="text-align:left;" ! Topic ! Questions ! Updated ! Notes |- | colspan="4" | '''…')
 
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! NPL
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! Custom
 
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! Notes
  
! Notes
 
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| colspan="4" | '''Vectors'''
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| colspan="5" | '''Vectors'''
 
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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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| 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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| colspan="5" | '''Matrix operations and algebra'''
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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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|-
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| Matrix equations || || || 2011-06-25 ||
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|-
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| Determinant and Cramer's Rule || || || 2011-06-25 ||
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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
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|-
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| 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 ||
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|-
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| Linear independence || || || 2011-06-25 ||
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|-
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| Basis and orthogonal basis || || || 2011-06-25 ||
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|-
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| Coordinate vectors and change of basis || || || 2011-06-25 ||
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|-
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| Row space, column space, and null space || || || 2011-06-25 ||
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|-
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| Dimension and rank || || || 2011-06-25 || There are some "rank" problems in the NPL in Linear Algebra/Matrices/Matrix Operations
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|-
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| Geometric examples || || || 2011-06-25 ||
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|-
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| colspan="5" | '''Linear transformations'''
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|-
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| Matrix of a linear transformation || || || 2011-06-25 ||
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|-
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| Reflections, rotations, dilations and projections || || || 2011-06-25 ||
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|-
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| Inverse of a transformation || || || 2011-06-25 ||
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|-
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| Kernel, range, injection, surjection || || || 2011-06-25 ||
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|-
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| colspan="5" | '''Applications'''
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|-
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| Adjacency matrix || || || 2011-06-25 ||
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|-
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| Least squares || || || 2011-06-25 ||
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|-
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| Curve/surface fitting || || || 2011-06-25 ||
  +
|-
  +
| Mixture problems || || || 2011-06-25 ||
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|-
  +
| Simplex method || || || 2011-06-25 ||
  +
|-
  +
| Graph theory || || || 2011-06-25 ||
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|-
  +
| Approximation of a function by a Fourier polynomial || || || 2011-06-25 ||
  +
|-
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| colspan="5" | '''Eigenvalues and eigenvectors'''
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|-
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| Finding eigenvalues and eigenvectors || || || 2011-06-25 ||
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|-
  +
| 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 ||
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|-
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| 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
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