MA318+Schedule

**Night 1: Systems of Linear Equations**
**Systems of Linear Equations**
 * Matrices & Elem. Row Operations **


 * Matrix Algebra **
 * The Inverse of a Square Matrix **

**Night 2: Systems of Linear Equations**

 * Matrix Equations **
 * Determinants **
 * Elementary Matrices and LU Factorization **


 * Unit I Review/ Take Home Test **

**Night 3:** Vector Spaces I

 * Vectors in R ** n
 * Linear Combinations **

**Night 4:** Vector Spaces I

 * Linear Independence **
 * Unit 2 Review/ Take Home Test **

**Night 5: Vector Spaces II**

 * Definition of a Vector Space **
 * Subspaces **
 * Span **

**Night 6: Vector Spaces II**

 * Basis and Dimension **
 * Coordinates and Change of Basis **


 * Unit 3 Review/ Take Home Test **

**Night 7: Linear Transformations**

 * Linear Transformations **
 * The Null Space and Range **
 * Isomorphisms **

**Night 8: Linear Transformations**

 * Matrix Representation of a Linear Transformation **
 * Similarity **

**Night 9:** Linear Transformations and Eigenvectors

 * Eigenvalues and Eigenvectors **
 * Diagonalization **
 * Unit 4 Review/ Take Home Test **