Week of 
Topics 
Jan 22 
1.1 Intro to linear systems
1.2 Gaussâ€“Jordan, RREF

Jan 29 
1.3 Solutions of linear systems
2.1 Linear Transformations

Feb 5 
1.3 Matrix Algebra
2.2 Linear Transformations in Geometry

Feb 12 
2.3 Matrix multiplication
2.4 Inverse of a linear transformation

Feb 19 
3.1 Image and Kernel
3.2 Subspaces of Euclidean spaces

Feb 26 
3.2 Bases and linear independence
Midterm I, Wed. Feb 28

March 5 
3.3 Dimension
3.4 Coordinates

March 12 
Spring Break! 
March 19 
4.2 Linear Transformations and Isomorphisms
4.3 Matrix of a linear transformation

March 26 
5.1 Orthonormality
5.2 Gramâ€“Schmidt and QR Factorization

April 2 
5.3 Orthogonal Matrices
5.4 Least squares and Data Fitting
5.5 Inner product spaces

April 9 
Midterm, Mon. April 9
6.1 Determinants
6.2 Properties of Determinants

April 16 
6.3 More on Determinants; Cramer's Rule
7.1 Diagonalization

April 23 
7.2 Eigenvalues
7.3 Eigenvectors

April 30 
Final Review 
May 7

Final Exam
Wednesday, May 9, 8:00am10:45am 