Congratulations, you are now the proud owner/pilot of a new frigate of your race's preference. This ship has been equipped with a civilian-class weapon (varying by vessel and skill), as well as a basic mining laser. While you have also been provided with a basic tutorial by your local insurance company and assigned agent, this guide has been provided as a supplement and aid for helping you decide your future. 

As you have probably seen already, this part of the galaxy does not provide many "free lunches." Ship owners are expected to provide a service or commodity of some kind in order to earn ISK, and often this will require ISK before you can provide many services. The exception to this is running simple courier missions for other ship owners, running simple locate-and-destroy agent missions, and mining. This guide will assume you will take up mining; however, please keep in mind that you are not limited to always being a miner, and many other career paths are open to you in this universe.

Initial Mining Check
Initially, you will need to mine low-grade asteroids. The return is a bit lower than you may expect for a path to fortune and fame; however, eventually, you will be able to move on to more valuable asteroids. For now, you will be stuck mining "common"ores. With a New player Ship and mining laser, you are not equipped well enough yet to go after anything worth big Eve Isk, as they tend to be in systems where pirates roam. Pirates can (and will) turn your nice new frigate into scrap if given the chance.

The asteroid ore that you initially should look for is called "Scordite." It is one of the common asteroids, usually present in 1.0 and below systems. The caveat is that many other pilots before you have probably mined it out and you may not find it in the system you started in. Before you launch out of the station, you need to check your equipment and  Eve Isk.

Running those tutorial missions should have left you with a small amount of  Eve Isk, hopefully around 10,000  Eve Isk, if not more. If you didn't get at least this much from your tutorial missions, you may wish to partake in the 5,000 Eve Iskmissions the tutorial agent will then offer (involves destroying 10 training drones at the training area in the starter system, and retrieving the certificates they then drop, don't worry too much about damage, as repairs to your ship are free for now). Remember to warp back to the station if you run out of shields and/or armor. Using this  Eve Isk, you will want to buy a Miner 1 from the market (if it is not available at the starter station, gradually increase your market search range until there is one available). If you were lucky enough to also start with the "Electronics" skill (located under the skill set by the same name), you may also wish to pick up a survey scanner as well as the survey skill.