Math 214 -- Linear Algebra Class Topic Schedule

Note: there are exams in weeks 6 and 12. Homeworks 
are handed in each Monday. 

R 29 Aug: Organization

M 2 Sep: 1.1-1.3 Vectors and linear combinations
W 4 Sep: 2.1 Matrices 
F 6 Sep : 2.2  Systems of linear equations/elimination


M 9 Sep: Rules for matrix operations
W 11 Sep: 2.3 Block matrices and matrix elimination
F 13 Sep: 2.5 Inverses and Gauss-Jordan reduction

M 16 Sep: 2.5 Inverses
W 18 Sep: 2.6 Permutations and LU­ factorization
F 20 Sep: 2.6 LU and LDU factorization

M 23 Sep: 2.7 Transposes 
W 25 Sep: 2.7 Permutations (and Matlab notation?)
F 27 Sep: 3.l Vector spaces

M 30 Sep: 3.1 Column space of A, start nullspace
W 2 Oct: 3.2 Nullspace, definition of rank 
F 4 Oct: 3.3 Rank, column space and nullspace

M 7 Oct: Review for exam 
R 8 Oct: EXAM 1 7:30 pm McG 217
W 9 Oct: Review exam    
F 11 Oct: 3.4 Complete solutions to Ax=b 

M 14 Oct: 3.5-3.6 Basis and dimension (4 subspaces)
W 16 Oct: 4.1 Orthogonality of the four subspaces     
F 18 Oct: 4.2 Projections onto subspaces       

M 21 Oct: 4.3 Least squares / curve fitting
W 23 Oct: 4.4 Orthogonal bases
F 25 Oct: 4.4 Gram-Schmidt        

M 28 Oct: 5.1-5.2 Determinants and volume
W 30 Oct: 5.3 Determinants and Cramer's Rule   
F 1 Nov: 6.1 Eigenvalues   

M 4 Nov: 6.1 Eigenvectors
W 6 Nov: 6.2 Diagonalization
F 8 Nov: 6.2 Diagonalization with complex eigenvalues

M 11 Nov: 18.3 Difference equations
W 13 Nov: 6.3 Differential equations
F 15 Nov: 6.3 Matrix exponential

M 18 Nov: Review for exam the next day 
T 19 Nov: EXAM 3 7:30 pm McG 217
W 20 Nov: Review exam
F 22 Nov: 6.4 Symmetric Matrices

M 2 Dec: 6.5 Positive definite matrices
W 4 Dec: 6.6 Similar matrices / Jordan form
F 6 Dec: 6.7 Singular value decomposition

M 2 Dec: 6.7 SVD and the four subspaces
W 4 Dec: 6.7 Data compression and images
F 6 Dec: 8.3 Networks and Monopoly examples

T 17 Dec: First chance at FINAL EXAM 9:00 am
R 19 Dec: Last chance at FINAL EXAM 3:00 pm