I agree with could-not-log-in: From my experience outside of academia, if you apply for a job it is most important what you did the last five years. This means that if you manage to get a job and be successful for at least five years, the subject that you majored in becomes unimportant.
As for getting your first job: It will be very rare that there is any opportunity to apply anything you learned in academia in your job. You learned some probablitity and statistics? Well, try to get a job at an insurance company where you can apply this - but chances are that you will end up somewhere else where it's of no use. This applies to other professions as well, of course, not only to mathematicians. There are just too few jobs out there that need some specific mathematical knowledge. Don't tell your students that they should take classes in applied mathematics etc. It's far more important to work some hours a week outside of academia to gain experience about the workplace, the people and what's important to them.
So you should not look for jobs where some specific mathematical knowledge has to be applied, but for jobs where the secondary virtues and skills that mathematicians have are important:
analysing complex technical problems,
finding convincing solutions, being very critical until a maximum of clarity is achieved,
high frustration tolerance,
being able to explain the results to the uninitiated,
being able to learn complicated new stuff quickly on your own.
There are two areas that come to my mind that offer excellent job opportunities to mathematicians:
all kinds of consulting,
all kinds of engineering that need abstract thinking, the prototype being of course the software industry.
Example problem solving: Some engineers I know, when confronted with a problem, are used to sit down for a while until they come up with a solution. A mathematician will know that this does not always work, but that it will take time to brood, getting distracted, brooding again, until someday you get it. This is a crucial experience that gives mathematicians a head start. But it's the experience and knowledge how to tackle complicated problems, it's not the knowledge of specific topics in mathematics.