Ch 8: Transformations & Functions

1. Complex Conjugate: Numbers, Functions & Examples

After completing this lesson, you will be able to describe and define complex conjugates. You will also be able to write complex conjugates and use them appropriately to solve problems.

2. Vertical Shift: Definition & Examples

When graphing, a graph can be shifted up or down with very little work. In this lesson, we will be learning how to do a vertical shift. We will examine both the graphs of functions and the equations of the functions.

3. Convolution Theorem: Application & Examples

Convolution is a mathematical operation that is a special way to do a sum that accounts for past events. In this lesson, we explore the convolution theorem, which relates convolution in one domain to multiplication in another, as well as the Laplace Transform.

4. Eigenvalues: Definition, Properties & Examples

Two important features of a matrix are the eigenvector and the eigenvalue. In this lesson, we'll explore the definition and properties of eigenvalues through examples.

5. Eigenvectors: Properties, Application & Example

Eigenvectors are special vectors associated with a matrix. In this lesson we explore the properties of eigenvectors and how to use them to solve a system of linear differential equations.