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 |