## Math 22

### Syllabus

The following is a tentative syllabus for the course.

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