Linear Algebra is a basis on which modern mathematics was built. Almost all solvable problems use the techniques developed in Linear Algebra. Throughout this course, you will

learn how these techniques are used in a variety of fashions, from standard solving of system of equations to identifying functions that are useful in solving differential equations. It is

appropriate we wrap up the course with an introduction to differential equations, because it is your understanding of linear algebra which will allow you to find or approximate the solutions you need in solving differential equations.

Below are the topics for the Linear Algebra and Differential Equations Course. The links content digital content to help facilitate your understanding of the material.

**Linear Algebra**

- Systems of Equations
- Meaning of Solutions
- Properties of Matrices
- Linear Transformations
- Subspaces
- Basis
- Coordinates
- Vector Space
- Linear Transformations
- Coordinates
- Determinants
- Eigenvectors and Eigenvalues
- Complex Eigenvalues
- Orthogonality
- Least Squares Solution

**Differential Equations**