Associate of Science (2-year A.S.) degree here, Math major, so I have a bit of bias here.
I agree with much of the above, in particular:
– Yes, Stat is a Must in Any Field of Science these days, including “Soft Sciences”.
– You may find a bit of calculus sporadically useful here and there, but you will never likely really “need” it.
– That said, though, I agree that a little calculus knowledge will really help you to understand how Life, The Universe, And Everything really works. Rates of fluid flow across a membrane. Rates of heat flow across boundaries. Interest rates, like if your investment account is compounded “continuously”. Anywhere there is a “rate” of anything, you will understand what is going on, with calculus, in a way that you never did before. You may get your formulas right out of the books, but you will then have an idea what is “really” going on with them.
njtt: “It is also involved in understanding reaction rates and changes of those rates. Really, the way biochemical processes pan out depends on the differing rates of different reactions under various, and sometimes continuously changing, conditions.”
Blake: “However i wouldn’t say that calculus is utterly worthless. I have used analytical packages where an understanding of the concepts of calculus were important. I have needed to at least understand rates of change, the theory behind area under the curve and so forth in order to be able to select the correct analysis to run.”
johnpost: "lab work can involve calculus. lots of different results involve the use of derivatives or integrals. "
IvoryTowerDenizen: "Yes. In grad school I needed to integrate under curves, which were traces that were collected from an NMR. I had to find the area. "
My anecdote: I worked as a low-level assistant with a dolphin research project once. They did field studies of humpback whales too. They took sightings of whales in various bays in the Pacific Northwest, and sightings of vessels. With all those coordinates (including the time of each sighting), we wanted to answer this question: What was the closest distance that any whale came to whatever vessel was nearby? Of course, we would have a computer program to take that data and do the actual computations.
My job was to design and write that computer program.
I didn’t know calculus at the time, except for tidbits I had picked up. But I saw here a minimization problem, where you want to find the smallest value that occurs. (Smallest, here, meaning find the smallest distance.) And I knew that calculus concerns itself with solving just such problems.
So I enrolled in the local community college and took the first semester calculus class. At the end of the class, I knew how to solve that problem.
Did it really require calculus? Turns out, it didn’t. The necessary formula (which I had to develop myself) turned out, after much algebraic wrangling, to be the equation of a simple parabola – which any one-year algebra student can minimize. But I needed that semester of calculus to understand the problem to begin with and to know how to develop that formula from the kind of data we had. Only after doing all that, did it then turn out to be fairly simple after all.