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How hard is physics if you are really good at calculus and linear algebra?
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Is calculus an advanced form of algebra?
No, not really. Calculus uses algebra to solve equations, but calculus is a branch of mathematics all its own.
What is Quantum Physics based upon?
Mathematically, it's based upon analysis (calculus, differential equations, etc.) as are most fields of physics, but what really sets quantum apart from other physics fields is it's fundamental mathematical dependence on probability, linear algebra, and group theory. It's conceptually based on uncertainty, probability, and discreteness (as opposed to absolute and continuous).
Is calculus hard if you are excellent in basic algebra?
Not really. Of course, you'll have to learn some new concepts - just as when you learned algebra.
What do you mean by eigen value and eigen function?
In linear algebra, there is an operation that you can do to a matrix called a linear transformation that will get you answers called eigenvalues and eigenvectors. They are to complicated to explain in this forum assuming that you haven't studied them yet, but their usefulness is everywhere in science and math, specifically quantum mechanics. By finding the eigenvalues to certain equations, one can come up with the energy levels of hydrogen, or the possible spins of an electron. You really need to be familiar with matrices, algebra, and calculus though before you start dabbling in linear algebra.
What is the difference between Algebra 2 and Pre calculus?
Im currently taking Pre Calculus and took Algebra 2 last year. To be honest, there really is no difference, there are only three new chapters of content we didnt go over last year in the whole book. If you passed Algebra 2 you'll pass Pre Calculus.
How do you solve projectile motion problems using algebra?
A projectile has vectors. This can be put in x and y. If it's simple physics, there is really not much algebra.
Is it true that if you are good at math you can do physics?
It really depends. If you are good at understanding the concepts of math and you think you can grasp the concepts of physics (which is not bad at all), then you will do fine in physics. Physics is like 50% math 50% concepts. This is my second year of physics (I am doing Physics with Calculus now) and it really isn't as bad as most people think.
What math level is after calculus?
Once you've completed differential and integral calculus, multivariable calculus is often next step, and beyond that there is advanced calculus which generalizes calc to multidimensional spaces and uses vector-valued functions. Often concurrent with high level calculus in college courses is linear algebra and differential equations. There's nothing really 'after' calculus, because any topic in mathematics has a myriad of problems, theories, and potential applications to be explored. Calculus is, however, normally the highest level of math taught in US high schools and is a basic required course for any science/engineering major in college.
Do you need to use algebra to make a sculpture?
Not really. Very large, installation or architectural style sculptures will probably need to take into account the physics of the structure (which may involve algebra, or calculus, or analysis depending how much detail you want to go into). Classical Hellenic/renaissance sculptors probably used ratios (such as those of the vitruvian man) to create the "ideal" proportions desired.
What did newton do in math?
With the current math systems that newton had he had no way to really mathematically explain anything he was doing in physics so he pioneered calculus.
What is a synonym for calculus?
Calculus is calculus. There isn't really another word for it.
Is physics hard if you are good at basic algebra?
Eh.... it really depends on how well you can handle word problems actually. Think of most physics problems as the word problems in algebra you have tried. The math should be okay for you to handle, as long as all the equations you will learn are in discrete form rather than differential form, which requires calculus. But really, being good at math is definitely a hand up in learning physics, if not a requirement. Whenever you've heard the term "mechanics" associated with some level of physics, they are referring to the mathematics. Everything is explained using equations and then interpreting those equations based on the problem you are trying to solve. Eventually, if you stick in long enough, everything boils down to differential equations and must be solved using calculus. But EVEN THEN, alegrba is paramount in reducing equations and solving for unknown variables. I think you'll do just fine. Just imagine how the students are going to feel that hate math lol
