Prep 2011 workshop Linear Algebra Assignment Status

From WeBWorK_wiki
Revision as of 08:33, 26 June 2011 by Tbflowers (talk | contribs)
Jump to navigation Jump to search

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
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 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 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
Matrix of a linear transformation
Reflections, rotations, dilations and projections
Inverse of a transformation
Kernel, range, injection, surjection
Applications
Adjacency matrix
Least squares Approximation should this be in Inner Product Spaces?
Curve/surface fitting
Mixture problems
Simplex method
Graph theory
Approximation of a function by a Fourier polynomial
Singular Value Decomposition should this be in Inner Product Spaces?
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
Orthonormal Projections
Gram-Schmidt Process 2011-06-25
QR Factorization
Diagonalization of Symmetric Matrices