Math 568: Introductory Linear Algebra I
(Instructor: Sergei Chmutov)

Summer 2004. Tentative Daily Schedule

06/21 (Mo)
Systems; Row reduction and echelon forms.
(sec. 1.1, 1.2)
06/22 (Tu)
Vector equations; Matrix equations. (sec. 1.3, 1.4)
06/23 (We)
Solutions; Linear independence.
(sec. 1.5, 1.7)
06/24 (Th)
Linear Transformations.
(sec. 1.8, 1.9)
06/28 (Mo)
Matrix operations. (sec. 2.1, 2.2)
06/29 (Tu)
The inverse of a matrix. (sec. 2.2)
06/30 (We)
Characterization of invertible matrices; Subspaces of Rn. (sec. 2.3, 2.8)
07/01 (Th)
Dimension and rank. (sec. 2.9)
07/05 (Mo)
NO CLASSES
07/06 (Tu)
Introduction to determinants.
(sec. 3.1)
07/07 (We)
Properties of determinants.
(sec. 3.2)
07/08 (Th)
Review for midterm #1
07/12 (Mo)
Cramer's rule; Volume.
(sec. 3.3)
07/13 (Tu)
Eigenvectors ans eigenvalues.
(sec. 5.1)
07/14 (We)
The characteristic equation.
(sec. 5.2, 5.3)
07/15 (Th)
Inner product; Orthogonal sets. (sec. 6.1, 6.2)
07/19 (Mo)
Projections; The Gramm-Schmidt process.
(sec. 6.3, 6.4)
07/20 (Tu)
Least-square problems.
(sec. 6.5)
07/21 (We)
Review for final.
07/22 (Th)
FINAL EXAM.