## Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the weekly syllabus contained in the Homework assignments page will always be accurate.

week Date Sections Brief Description
1 3/30 M Introduction to Mathematical Proofs
4/1 W 1.1-1.2 Vectors and Vector Spaces
4/3 F 1.2 Vector Spaces (cont.)
2 4/6 M 1.3 Subspaces
4/8 W 1.4 Linear Combinations and System of Linear Equations
4/10 F 1.5 Linear Dependence and linear Independence
3 4/13 M 1.6 Bases and Dimension
4/15 W 2.1 Linear Transformations
4/17 F 2.1 Null Spaces and Ranges
4 4/20 M 2.2 Matrix Representation
4/22 W 2.3 Composition of Linear Transformations
4/24 F 2.4 Invertibility
5 4/27 M 2.4 Isomorphisms
4/29 W 2.5 Change of Coordinate Matrix
5/1 F 3.1 Elementary Matrix Operations and Elementary Matrices
6 5/4 M 3.2 The Rank of a Matrix and Matrix Inverses
5/6 W 3.3 System of Linear Equations (Theoretical)
5/8 F 3.3 System of Linear Equations (Computational)
7 5/11 M 4.1 Determinants of Order 2
5/13 W 4.2 Determinants of Order n
5/15 F 4.3 Properties of Determinants
8 5/18 M 5.1 Eigenvalues and Eigenvectors
5/20 W 5.1 Eigenvalues and Eigenvectors (cont.)
5/22 F 5.2 Diagonalizability
9 5/25 M 5.2 Diagonalizability (cont.)
5/27 W 6.1 Inner Products and Norms
5/29 F 6.2 Gram-Schmidt Process
10 6/1 M 6.3, 6.4 Normal and Self-adjoint Operators
6/3 W 6.5 Unitary and orthogonal operators