## Estimated schedule for Math 369 (section 1): Linear Algebra

Please note that this is JUST an estimate (and was stolen from Prof. Jeff Achter, another instructor of 369 this semester).

WARNING: The links on this page may be problematic for you, depending on your computer. In particular, the math content of the webpages that you reach after clicking on the link may be gibberish. If that is the case, please check out a pdf version of the text, available from the textbook info page.

 Week Topic Ref 1 Systems of linear equations examples and applications; row reduction; echelon forms; associated(augmented) matrices WILA What is Linear Algebra? SSLE Solving Systems of Linear Equations RREF Reduced Row-Echelon Form 2 Matrix equations Rn; arithmetic of vectors; Ax=b structure of (in)homogeneous solutions VO Vector Operations MO Matrix Operations MM Matrix Multiplication 3 Matrix operations matrix multiplication; row operations; inverse matrices; span. MM Matrix Multiplication MISLE Matrix Inverses and Systems of Linear Equations LC Linear Combinations SS Spanning Sets 4 Independence linear independence; column space; solvability; rank LI Linear Independence LDS Linear Dependence and Spans CRS Column and Row Spaces 5 Factorizations, determinants DM Determinant of a Matrix PDM Properties of Determinants of Matrices 6 Backwards and forwards review; exam; abstract vector spaces VS Vector Spaces 7 Vector spaces dimension; basis; coordinates S Subspaces LISS Linear Independence and Spanning Sets B Bases D Dimension PD Properties of Dimension 8 Transformations linear transformations; change of coordinates LT Linear Transformations VR Vector Representations MR Matrix Representations CB Change of Basis 9 Eigenvectors eigenvalues and eigenvectors; geometry; EE Eigenvalues and Eigenvectors PEE Properties of Eigenvalues and Eigenvectors 10 Eigenvectors II characteristic polynomial; diagonalization; applications 11 Applications markov chains; graph theory; numerics 12 Backwards and forwards review; exam; inner products 13 Inner products orthogonality; projection; Gram-Schmidt Section O Orthogonality 14 Decompositions least squares; QR; SVD 15 Wrapping up applications; review