Syllabus - page 2.pdf

Syllabus for Math 2940, Fall 2009 (ver 1, 27 Aug 2009) app A First recitation: vector algebra, dot products 8/28 F 1.1 Linear systems, Gauss-Jordan elimination 8/31 M 1.2-1.3 Gauss-Jordan elimination 9/2 W 1.3 Solving linear systems, matrix algebra 9/4 F 2.1 Linear transformations 9/7 M 2.2 Geometry of linear transformations 9/9 W 2.3 Matrix products 9/11 F 2.4 Inverse transformations 9/14 M 3.1 Image and kernel 9/16 W 3.2 Subspaces of Rn, linear independence 9/18 F 3.3 Basis and dimension 9/21 M 3.3 Dimension, rank and nullity 9/22 W 3.4 Coordinates 9/25 F 4.1 Linear spaces 9/28 M 4.2 Linear transformations and isomorphisms 9/30 W Review/catch up 10/1 R Prelim 1, 7:30 - 9 pm, covers 1.1-3.4 10/2 F 4.3 Matrix of a linear transformation 10/5 M 5.1 Orthogonal projections, orthonormal bases 10/7 W 5.1-5.2 Gram-Schmidt process 10/9 F 5.2 QR factorization 10/12 M Fall break 10/14 W 5.3 Orthogonal transformations and matrices 10/16 F 5.4 Least squares, data fitting 10/19 M 5.4 Least squares (cont.) 10/21 W 5.5 Inner product spaces 10/23 F 5.5 Orthogonal projection, Fourier approximation 10/26 M 6.1 Determinants: Introduciton 10/28 W 6.2 Determinants: Properties 10/30 F 6.3 Determinants: geometric properties, Cramer?s rule 11/2 M 7.1 Discrete dynamical systems 11/4 W 7.2 Eigenvalues 11/6 F 7.3 Eigenvectors 11/9 M 7.4 Diagonalization 11/11 W 7.4 Diagonalization (cont.) 11/13 F 7.5 Complex eigenvalues 11/16 M 8.1 Symmetric matrices 11/18 W Review/catch up 11/19 R Prelim 2, 7:30 - 9 pm, covers through 7.4 11/20 F 8.3 Singular value decomposition 11/23 M 9.1 Dynamical systems 11/25 W catch up 11/27 F Thanksgiving break 11/30 M 9.1-9.2 Dynamical systems (complex case) 12/2 W 9.2 (cont.) 12/4 F Review/catch up 12/10 R Final exam, 7 - 9:30 pm syllabus-v1.dvi