Lectures	Readings	Topics
6/24 (F)	section 1.1	Systems of Linear Equations
6/27 (M)	section 1.2	Row Reduction and Echelon Form
6/28 (T)		Introduction to Proof Writing: Latin Squares
6/29 (W)	sections 1.3--1.4	Vector Equations, The Matrix Equation Ax = b
7/01 (F)	sections 1.4--1.5	The Matrix Equation Ax = b, Solution Sets of Linear Systems
7/04 (M)	none	No class today: Independence Day
7/05 (T)		Application Workshop: Game Theory
7/06 (W)	section 1.7	Linear Independence
7/08 (F)	section 1.8	Introduction to Linear Transformations
7/11 (M)	section 1.9	The Matrix of a Linear Transformation
7/12 (T)		Proof Workshop
7/13 (W)	sections 2.1--2.2	Matrix Operations and Inverses
7/15 (F)	section 2.3	Characterizations of Invertible Matrices
7/18 (M)	section 3.1	Determinants
7/19 (T)		no x-hour today
7/20 (W)	section 3.2	Properties of Determinants
7/22 (F)	section 4.1	Vector Spaces and Subspaces
7/25 (M)	section 4.2	Null Spaces, Column Spaces, Linear Transformations
7/26 (T)		no x-hour today: study for Exam 1!
7/27 (W)	section 4.3	Independent Sets and Bases
7/29 (F)	section 4.4	Coordinate Systems
8/01 (M)	section 4.5	Dimension
8/02 (T)		Application Workshop: Error-Correcting Codes
8/03 (W)	section 4.6	Rank
8/05 (F)	section 5.1	Eigenvectors and Eigenvalues
8/08 (M)		no class today
8/09 (T)		no x-hour today
8/10 (W)	section 5.2	The Characteristic Equation
8/12 (F)	section 5.3	Diagonalization
8/15 (M)	section 6.1	Orthogonality, Inner Products, and Length
8/16 (T)		no x-hour today: study for Exam 2!
8/17 (W)	section 6.2	Orthogonal Sets
8/19 (F)	section 6.3	Orthogonal Projections
8/22 (M)		Advanced Topic: The Selberg Trace Formula
8/24 (W)		Review for Final Exam