I was incredibly fortunate to work for the Apollo Program, the summers of 1966 and 1967, as a GS-7 mathematician through the Ships' Engineering section under the Department of the Navy. I was at Pt. Mugu, Pacific Missile Range.
What, do you ask, did ships have to do with sending humans to the moon? Well, back in those days, the transmission of telemetry (data) was hampered by a weak signal and very narrow bandwidth. And so there had to be telemetry dishes watching the capsule all the way around the earth -- as the earth turned. Unfortunately there were not enough nor conveniently placed islands all around the earth on which to put telemetry dishes. So one had to put them on ships. But the ocean is not still -- a ship rolls, pitches, and yaws. And that dish had to hold STILL! Happily, all of those ship motions are in fact able to be modeled by sine waves (yup, trigonometry). So you can put the dish on a platform, drive the platform with hydraulics so it is effectively held still with the ship rocking and rolling underneath it. And the analog computers would track the ship motion and know which way it would "rock and roll" next, and send signals to the hydraulics.
It was a thrill to be part of the program, and contribute to that magnificent achievement! I was very fortunate as a fresh out of undergraduate school woman to be working with an incredible group of men. And I learned a lot as well as contributing -- such as when one writes a contract requiring a specific truck to be at a ship building site, one unfortunately needs to specify it have an engine and be working. I didn't make that mistake but one of my experienced colleagues in the unit did. And I learned on the spot that specificity of language is critical -- something which has stood me in good stead the rest of my life.