If you're going for a programming job, then a strong maths background will always be a plus that sets you apart from others.
There's lots of programming tasks where a strong mathematician might be able to solve the task in a more elegant way than someone who's "just a programmer" -- but in those situations, programming is the primary task, and maths is a secondary tool that helps you complete the primary task.
In a games programming team, someone who's an expert programmer + a basic mathematician will be more often useful than someone who's an expert mathematician + a basic programmer :/
But, an average programmer + expert mathematician will be a lot more useful than an average programmer + average mathematician.
There's not that much need to be a maths expert for general games work - linear algebra and trigonometry are the most common areas that games programmers will require, and a few tasks will require a basic understanding of calculus too.
As a graphics programmer, I read a lot of research papers (this is also true for other specialists too), which often contain compact a lot of their content down into a few dense lines of formal math, instead of pages of code, so a strong maths background would help a lot with these research tasks.
At some companies, there might be room for a good statistician / "data miner" to develop tools to analyse large volumes of raw data collected from customers.
In the "gaming industry" (i.e. gambling, not video games), mathematicians can earn a lot of money working as a "game designer" -- the choice of symbols, ordering and rules in gambling games (like video poker / slot machines) is based on extremely refined and deliberate choices made by mathematicians... There's also complex formal proofs (and monte-carlo simulations) required to show that the game rules deliver a certain amount of profit (high enough to satisfy the casinos, and low enough to satisfy the government).
Edited by Hodgman, 30 July 2013 - 11:36 PM.