hmm? ]

school project, but being an "dumb" artist, subjects like this
gives me nothing but headache.

 

math is numbers and calculations.
science is environment, observations, and hypothesis.

physics is math disguised as science.

 

science = applied mathematics

physics = applied science

 

Math is a science. Asking to explain the difference between the two is like asking to explain the difference between a dog and an animal.

 

science is making falsifiable claims about the natural world
physics is the search for basic and fundamental laws

 

to clarify things even further math is our way of describing how the world works. science is real observations of the world itself. because math is our way of describing the world anything in math that has been truly proven can NEVER be disproved. science, on the otherhand, can be disproven at any time.

 

Math is a tool. It's everything from counting the number of apples on your desk, to calculating the total possible number of different lottery tickets, to proving that a recursive computer algorithm is correct, to performing linear transformations for computer graphics, to calculating the flight trajectory for a Voyager probe.

Science is a process for determining how things work. Math might or might not be used in this process, either way. The procedure, in general, goes a bit like this: 1. Observe how something works. (An apple falls.) 2. Construct a theory on how it works. (Newton's laws.) 3. Conduct experiments to test theory. (Drop stuff off a tower in Pisa, test for speed of light.) 4. Revise (or even replace) theory when it doesn't fit right. (Einstein's General Relativity.) 5. Repeat. (Quantum mechanics, string theory, etc. etc.)

A non-math example would be: 1. Observe behavior in dogs. 2. Theory of conditioning. 3. Experiments with Pavlov's bell.

 

Science comes from "the study of"

Match is computations

 

Then why are my degrees in mathematics a Bachelor's of Arts and a Master's of Arts?

One clear difference between mathematics and science is that science tries to describe the world (or the universe or whatever), while mathematics tries to describe, well, mathematics.

 

Mathematics describes how mathematics works.

If it happens to be useful to scientists who are trying to describe how the world works, so be it. If not, that's OK, too.

Mathematics has a good track record for being useful in describing how the world works. There are many examples - quaternions leap to mind - that are interesting mathematically but do not seem to have any ability to describe nature.