Lecture	Date	Section in Text	Brief Description
Day 1	Mon. June 25	1.1	Systems of Linear Equations
Day 2	Wed. June 27	1.2	Row Reduction and Echelon Forms
Day 3	Thurs. June 28	1.3	Vector Equations
Day 4	Fri. June 29	1.4 -1.5	The Matrix Equation Ax=b and Solution Sets of Linear Equations
Day 5	Mon. July 2	1.7	Linear Independence
Day 6	Thurs. July 5	1.8	Introduction to Linear Transformations
Day 7	Fri. July 6	1.9	The Matrix of a Linear Transformation
Day 8	Mon. July 9	2.1-2.2	Matrix Operations and the Inverse of a Matrix
Day 9	Wed. July 11	2.3	Characterization of Invertible Matrices
Day 10	Fri. July 13	3.1-3.2	The Determinant and its Properties
Day 11	Mon. July 16	4.1	Vector Spaces and Subspaces
Day 12	Wed. July 18	4.2	Null Spaces (Kernel), Column Spaces, and Linear Transformations
Day 13	Thurs. July 19	4.3	Linear Independent sets and bases
Day 14	Fri. July 20	4.4	Coordinate Systems
Day 15	Mon. July 23	4.5	The dimension of a vector space
Day 16	Wed. July 25	4.6	Rank
Day 17	Thurs. July 26	4.7	Change of basis
Day 18	Fri. July 27	5.1	Eigenvectors and Eigenvalues
Day 19	Mon. July 30	5.2	The Characteristic Equation
Day 20	Wed. August 1	5.3	Diagonalization
Day 21	Thurs. August 2	6.1	Inner Product, Length and Orthogonality
Day 22	Fri. August 3	6.2	Orthogonal Sets
Day 23	Mon. August 6	6.3	Orthogonal Projections
Day 24	Wed. August 8	6.4	The Gram-Schmidt Process
Day 25	Thurs. August 9	no section in book	Application: Guest speaker
Day 26	Fri. August 10	7.1	Diagonalization of Symmetric Matrices
Day 27	Mon. August 13	7.4	Application: Singular Value decomposition
Day 28	Wed. August 15	7.4	Application: Singular Value decomposition
Day 29	Thurs. August 16	no section in book	Application -- Guest speaker
Day 30	Fri. August 17	4.9	Application: Markov Chains
Day 31	Mon. August 20	no new material	Review
Day 32	Wed. August 22	no new material	Review

Last Updated May 17, 2012 by R. Orellana