I constantly use Mathematics at work.
I divide by four, by eight, by sixteen, by three, six and twelve, combining those fractions to make whole numbers.
I use logarithmic calculations to assess whether something is safe or will cause permanent damage.
I construct flow charts, read and create graphs, create and understand/manipulate waveforms.
I use Venn diagrams mentally.
I use formulae. I rearrange formulae.
I use multiples of numbers and divide large numbers instantly in my head.
My job? I teach Music and Music Technology and work as a musician and sound engineer. Music is profoundly mathematical. Every bar contains fractions. Every note is a particular frequency. Every sound has a particular waveform and altering it will change the pitch, duration, volume and timbre. Adjusting the plugins so that something has reverb added to it involves reading a graph. Sound Pressure Levels are logarithmic.
Constructing a plan for connecting up a mixer desk to a PA and stage setup and faultfinding is the same as following a flow diagram, as you follow logical steps to eliminate potential causes of problems - number 2 microphone doesn't work. Check the leads. Are they connected? Yes - change the microphone over. Does this solve it? No - change the first cable in the run. Does this fix it? No - check the bundle running into the stagebox. Does changing to a different cable in the bundle work? No - try changing into a different socket on the stage box and make sure you switch the new input into the original desk input. Does this sort it? No - try a different input. does this sort it? Yes? Thank goodness for that.
I work out whether a particular power extension can cope with the demands of x number of items plugged into it.
I set up instruments to match a vibration of 440 times per second. Tuning. I double check tunings by using harmonic frequencies or checking for vibrations slightly out of phase, causing 'beating'. I increase the frequencies to tune up a string, I reduce them to tune down.
Everything I do, whether consciously or unconsciously, even singing, is totally mathematical.