Not too long ago I, too, was a math major utterly unprepared for getting a career. My strategy was to look for job postings with the word "Analyst" in the title

Not too long ago I, too, was a math major utterly unprepared for getting a career. My strategy was to look for job postings with the word "Analyst" in the title, and focus on small companies. Those are the positions where you'll be working on solving innovative problems, at varying levels of definedness. Small companies, especially in niche markets, are more willing to hire people with a BS and good potential but not a lot of experience. Companies in a more niche or botique line of work, or a new emerging field, are also more willing to hiring people with more potential than experience (I got into web analytics myself, which hasn't been around very long). If you're not sure about the opportunities you have, find a part-time position or a paid internship. It's less risk for you, and it's less risk for the company so it's easier to get the position. If it's something you like you can upgrade to full-time (as was my case), and if not, you can still gain skills and experience while shopping around. In terms of lowering your expectations, you likely won't achieve the most prestigious position, but you can certainly find a position that's interesting and personally rewarding in an area that you want to be in. It's up to you to decide if that's lowering your expectations (I wouldn't consider it so).