Linear Algebra: A First Course

0.         Review of Prerequisites

1.         Vector Algebra

2.         Applications of Vector Algebra to Analytic Geometry

3.         Linear Spaces

4.         Linear Transformations and Matrices

5.         Determinants

6.         Eigenvalues and Eigenvectors

7.         Eigenvalues of Operators Acting on Euclidean Spaces

8.         Applications to Linear Differential Equations

9.         Applications to Systems of Differential Equations

10.     The Method of Successive Approximations