MTH211 SYLLABUS  Fall 2019
Week(s) 
Topics 
Readings 
1 
Systems of linear equations; row reduction, echelon form; vector equations



2 
Matrix equation Ax = b; Solutions sets of linear systems 


3 
Linear independence; linear transformations 


4 
Matrix of a linear transformation; matrix operations; inverse of a matrix; elementary matrices



5 
Invertible Matrix Theorem; partitioned matrices 


6 
Matrix factorizations; LU; determinants 


7 
Cramer's Rule; vector spaces and subspaces



8 
Null spaces, column spaces; linearly independent sets; bases



9 
Coordinate Systems; dimension of a vector space



10 


11 
Eigenvectors and eigenvalues; Characteristic equation



12 
Diagonalization; eigenvectors and linear transformations



13 
Complex eigenvalues; inner product, length, and orthogonality



14 
Orthogonal sets, as time permits; Additional topics, as time permits



Notes:
 The time line shown above serves as a very rough guide.
 Unless otherwise noted, readings are from the textbook.
Linear Algebra and its applications, 5th Edition by David and Steven Lay, and Judi McDonald, Pub. AddisonWesley.
 For the schedule of Examinations please click on the Exams Button.
Last modified: 7/7/2019
