Difference between revisions of "Prep 2011 workshop Linear Algebra Assignment Status"
Jump to navigation
Jump to search
| Line 9: | Line 9: | ||
| colspan="5" | '''Vectors''' |
| colspan="5" | '''Vectors''' |
||
|- |
|- |
||
| − | | Geometric objects - lines and planes || || || |
+ | | Geometric objects - lines and planes || || || 2011-06-25 || |
|- |
|- |
||
| − | | Dot product and Vector Projections || || || |
+ | | Dot product and Vector Projections || || || 2011-06-25 || |
|- |
|- |
||
| − | | Orthogonal decomposition |
+ | | Orthogonal decomposition || || || 2011-06-25 || |
|- |
|- |
||
| colspan="5" | '''Systems of equations and elimination''' |
| colspan="5" | '''Systems of equations and elimination''' |
||
Revision as of 14:41, 25 June 2011
Current status of Linear Algebra Model Course Assignments
| Topic | NPL | Custom | Updated | Notes | |
|---|---|---|---|---|---|
| Vectors | |||||
| Geometric objects - lines and planes | 2011-06-25 | ||||
| Dot product and Vector Projections | 2011-06-25 | ||||
| Orthogonal decomposition | 2011-06-25 | ||||
| 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 | |||||
