If you ask if physics is applied math, in this post, you will find a detailed response.
Is physics applied to math?
Physics is not applied math, physics is a science that is based on theory and experiments that use applied math. We cannot consider physics applied math because the majority of physics discoveries have been done before using any math just from observations or accidents.
A real example of that is the gravity law, the gravity was discovered by Isaac Newton.
When the apple fell on his head, he immediately started to ask many questions like:
what makes an apple fall from a tree
why did not happen the same with the moon? and other assumptions…
After ensuring that, there was a force behind this event, which is gravity. Then it was time to convince the world and create a frame for this law using applied math. So applied math was the second step to making these rules have sense and be measurable.
Applied math or general math is a language of physics and all other sciences, it can be used also in unrelated domains to physics like business and sociology.
but applied math is an interesting topic in physics, without math it becomes so difficult and sometimes impossible to explain physics concepts.
So physics is like having an idea of building a business while math or applied math is money that you should invest to transform this idea into a reality.
Difference between physics and applied math
There is a significant difference between physics and applied math. Physics is the study of matter and its motion through space and time, while applied math is the application of mathematical techniques to solve real-world problems including physics, biology, or any other science that requires math.
Applied math is often used in physics, engineering, and other scientific fields, while physics is the center of science.
In other words, physics uses applied math to solve problems by collaborating with many inventions like transistors and lasers the famous ones, etc. But applied math doesn’t require physics to stand.
In other words, physics uses applied math to run experiments and frame the rules, creating the rules of gravity, motion, electromagnetism, etc.
While applied math is an independent science that doesn’t need physics or science to be working, it is pure math that could be working or involved in many areas like science, physics, sociology, biology, etc.
Applied math’s goal is to take on whatever idea and turn it into mathematics models then try to solve it.
How physics use applied math
Physics is the study of the natural world, and in order to understand it, physicists use mathematics. In particular, they use applied mathematics, which is a type of mathematics that is specifically designed to solve problems.
Applied math is used to model physical phenomena, and to calculate the results of experiments. It can also be used to design new technologies and to predict the behavior of complex systems.
we’re going to list some examples of how physics use applied math
1 – transistors
Transitions have made revolutionary changes in the world they transferred computers from rooms to the size pocket devices we use today. All that was with the help of applied math applications like boolean algebra and calculus.
transistors are the responsible devices that make operations on your calculators by adding, multiplying, and dividing signals to give you the right results, the same thing in computers and any electronic device in the world. (without a transistor you wouldn’t be able to read this post from your computer or phone).
2 – supersonic airplanes
Without applied math engineers and physicists would not be able to study and predict the characteristics of a supersonic airplane body that should have to break the wall of sound and finally travel at supersonic speeds like what Concord did in the 90s.
This domain requires a lot of calculus and algebra to make the right calculation and predict all forces airplanes will have. These are all applied math topics used in physics students take in college alongside physics topics.
The proof of that is the apparition of new math applied courses related to phsyics like algebra bases physics and calculus-based physics. and other applied math courses like applied calculus and survey calculus.
3 – combustion engines
Combustion engines are the outcomes of applied mathematics, today we can design delicate and precise engines that produce more power with the same amount of fuel. In addtion, the apparition of computers allows us to take the full potential of math and combine it with physics.
for instance, a car uses a group of sensors that make millions of operations per second to calculate the airflow, fuel flow, and chamber temperature. All these inputs are analyzed by computers that use math equations on their algorithms to improve the efficiency and reality of these combustion engines
can you double major in phsyics and applied math?
It is possible as long as your university or school allows that because not all universities have these double programs. in additon, they are difficult and tough to complete stying physics and applied math at the same time.
the regular road that most physics or math majors do is to major in physics and minor in math because math is important in physics, in both of its components theoretical and applied math.
But if it was available, you have to know that it is going to be difficult and challenging.
you will be spending long hours studying for both majors. So it is stressful and not mean for anyone unless the ones who are excited and passionate about this subject.
if your university does not allow double majors in math and physics you will only have to take another second bachelor’s.
But typically taking both majors in math and physics like doing a double major or double degree doesn’t have any sense, because you will study some unnecessary topics you will need in your physics major which is an effort and time wasted.
But if you think that taking a complete math major for physics is useful, you are wrong. in the physics course, you will be studying all the math courses you will be needing.
math is a broad field so the same for phsyics, if you major in physics you will be required to minor in specific branches like quantum mechanics, physics materials, etc, the same thing for math.