Prep 2011 workshop Linear Algebra Assignment Status
Revision as of 10:08, 26 June 2011 by AlinaDuca (talk | contribs) (→Current status of Linear Algebra Model Course Assignments)
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 | |||||
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 | |||||