## Bridging to (your own) practice

We’ve covered a lot of really good ground the mini courses on geo math modeling:

- Introduction to math modeling for geomatics networks
- Functional math modeling for geomatics networks
- Linearization for geomatics networks

And in Lab 1 where you set the stage for the work required to code applications based on those models.

And whether you realize it or not, you now have the mathematical and technical tools in hand to begin analyzing and designing your own geomatics networks. You already know enough to begin writing your own applications that can adjust measurements of distances, azimuths, angles, and more. You know enough to set up the math models and fundamental analyses for the components of basic surveys such as trilaterations, intersections, resections, traverses, and more. And you even know enough to model measurements such as those taken in three dimensions (3D), those from Global Navigation Satellite Systems (GNSSs), and those taken in different coordinate frames requiring a model of the transformation between them.

We’ll get to all of that. But we’re going to do it in small enough steps that you can feel confident as you take them. And so you don’t miss a single concept along the way. I don’t want you to have to skip ahead or copy from a book without really understanding what you’ve copied. I don’t want you to land a job that has you scrambling to look something up when you first encounter it in the manual of the network adjustment software package. I want you to come at those things – extrapolating where you have to -but from a rock solid base knowledge of your own.

All that said, this mini course is about helping you bridge from what you covered in recent topics so you can take the steps required to deal with distances, azimuths, horizontal angles, trilateration, and intersections. We’ll stick to those concepts for now and to a two dimensional (2D) planar coordinate system because that’s where a lot of key survey know-how still lives today and because it’ll keep our equations from being too long so we can focus on the important stuff while we’re learning it.

Get these first steps under your belt and you’ll be in great shape for the rest of what’s promised above.

## Directions

Just work your way through lessons (under “Resource content”) below.

## Achievements

This mini badge will earn you the following mini badges:

- Linearize the Distance Observation Equation mini badge
- Linearize a Simple Trilateration mini badge
- Linearize the Azimuth Observation Equation mini badge
- Linearize the Angle Observation Equation mini badge
- Linearize a Simple Intersection mini badge

And you’ll be able to keep track of those as you go on your personal dashboard.