20120117  lecture: introduction & motivation   course organization
 review of algebra and systems of equations
 highlevel overview of the course material
 vectors, planes, spaces, and ways to
symbolically represent them  lecture notes
 related readings [Lay 2003]: 1.1, 1.3

20120119  lecture: vectors   lecture notes
 algebraic properties of vectors
 vector space axioms
 related readings [Lay 2003]: 1.3

20120123   
20120124  lecture: vectors   lecture notes
 vector norms and dot products in R^{2}
 vector properties and relationships:
 orthogonality
 linear dependence and independence
 projections
 linear combinations
 spans
 related readings [Lay 2003]: 6.1, 6.2, 6.3

20120126  lecture: vectors   lecture notes
 review of set and predicate notation
 review of vector properties and relationships
 exercises and examples
 related readings [Lay 2003]: 1.3, 1.7

20120131  lecture: matrices   lecture notes
 linear combinations in applications
 from linear combinations to matrices
 interpretations of matrices
 matrix operations and properties
 related readings [Lay 2003]: 1.6, 2.1

20120202  lecture: matrices   review: matrix interpretations in applications
 review: maps, composition, and inversion
 composition of matrices and applications
 related readings [Lay 2003]: 2.1, 2.2, 2.3

20120203   
20120204   
20120207  lecture: matrices   lecture notes
 review of relations and functions
 matrix multiplication and inversion
 interpretations
 review of algebraic properties
 some subsets of R^{n×n} and properties
 determinants and inversion of R^{2×2} matrices
 related readings [Lay 2003]: 2.1, 2.2, 2.3

20120209  lecture: matrices   lecture notes
 details about subsets of R^{n×n} and properties
 solving Mv = w for M with various properties
 elementary matrices and row operations
 reduced row echelon forms of matrices
 related readings [Lay 2003]: 1.2, 2.3, 2.5

20120214  lecture: matrices   lecture notes
 more facts about invertible matrices
 matrix LU factorization
 matrix transposition
 orthogonal matrices
 matrix rank
 matrix similarity
 related readings [Lay 2003]: 1.2, 2.5

20120216  lecture: review  
20120220   
20120221  monday schedule  
20120223  midterm exam  
20120228  lecture: vector spaces   lecture notes
 sets of vectors and their notation
 computing equality of vector spaces
 abstract vector spaces
 fitting functions to data points

20120301  lecture: vector spaces   lecture notes
 more on computing equality of spans
 more abstract vector spaces
 fitting functions to many data points
 subspaces
 basis of a vector space

20120302   
20120306  lecture: vector spaces   lecture notes
 computing an orthonormal basis
 projecting onto a subspace
 leastsquares approximations
 dimension of a vector space
 orthogonal complement of a vector space
 algebra of vector spaces

20120308  lecture: vector spaces   lecture notes
 more on fitting functions to data
 approximating a matrix system model
 algebra of vector spaces
 review and more properties of maps

20120312   
20120313  spring recess  
20120315  spring recess  
20120320  lecture: linear transformations   lecture notes
 review and more properties of maps
 homomorphisms and linear transformations
 properties of linear transformations

20120322  lecture: linear transformations   lecture notes
 data modelling as a linear transformation
 more properties of linear transformations
 kernel of a linear transformation

20120327  lecture: review  
20120329  midterm exam  
20120403  lecture: linear transformations   review of midterm questions

20120404   
20120405  lecture: linear transformations  
20120410  lecture: applications to linear systems   lecture notes
 linear transformations in applications
 span, dim, ⊥, ker, and im in applications
 examples
 observable systems
 compression and encryption

20120412  lecture: applications to linear systems  
20120417  lecture: applications to linear systems  
20120419  lecture: applications to linear systems  
20120424  lecture: eigenvectors & eigenvalues  
20120426  lecture: review  
20120429   
20120501  lecture: review  
20120509 Wed. 35 PM  final exam  