# Course Introduction

## Agenda

• Introductions (verbal discussion)
• Nature of this course and sequence (verbal discussion)
• A large scale example
• A smaller scale example
• Our computational environment: Matlab
• Get a Mathworks account
• You can use Matlab in computer labs on campus
• You can use Matlab Online, along with Matlab Drive (Matlab Drive can also be installed on your own computers, like a OneDrive, Google Drive or Dropbox application for syncing)

## Motivating (large-scale) example: Seismic Tomography

### How did the San Andreas Fault form?

Let's look at some animations: see this webpage.

Future North American boundary:

A subduction animation:

### An interesting question:

What happened to the plate (the Farallon Plate) that subducted ahead of the Pacific Plate?

It seems fantastical how the plate just disappears in the animations! What happened to it?

If you are a sketpical type you might wonder how you could find evidence of this massive plate.

### Seismic Tomography

Let's take a look at an animation from this website.

Here is a document that summarize the seismic tomography concept.

### Applying Seismic Tomography to Western North America - where's the (Farallon) Plate?

Here is a pdf file with the above image and more explanation of seismic tomography.

Let's not take a look at another case: imaging the Yellowstone Plume: Nelson and Grand 2018.

## How does this "seismic tomography" work?

It turns out to be a big linear algebra problem - solving a large set of linear equations. Therefore we will learn some linear algebra concepts to see how this works on much smaller examples.

## Motivating (small-scale) example: ...

Some chemical reactions (autocayltic) show an oscillatory behavior between their reactants. This process can happen in the earth sciences during mineral growthm, for example. This process is mathematically describe by a set of coupled ordinary differential equations.

Source

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