All electronic devices would not exist without calculus.
Engineers would be able to do nothing without calculus, which means everything that we have that we owe to engineers, we owe to calculus as well.
Physics would not exist beyond the high school level (which is trigonometry based) without calculus. If you asked this question to help you with a school assignment, here's a good common saying you can use: Calculus is the language of physics.
Applied chemistry requires calculus, which means that everything that we owe to applied chemistry, we also owe to calculus.
It is the study of how to apply calculus to functions of more then 1 variable. It allows us to do the same things we could in two dementions in n dementions. It is closely related to linear algebra.
I am assuming you understand the distinction between single-variable calculus (calculus of one variable) and multivariable calculus (calculus of several variables). Well, if you know the former, that is highly beneficial because the same techniques are used in the latter -- they are generalized to apply to calculus of n-variables. This is ultimately the goal of single-variable calculus. Why? Well, if you think about it, single-variable is not really applicable. Not many real world phenomena involve one variable. For example, in macroeconomics, GDP = Y is a function of many variables: Consumption (a function of net taxes and income), Investment (a function of real interest rates), Government Spending, and Net Exports. That is, Y=f(C(Y,T), I(r), G, NX). To perform many of the tools of calculus (e.g. finding how Y changes as G increases) to this function, one must know and apply multivariable calculus.
Calculus; by a long shot.
Just about all of calculus is based on differential and integral calculus, including Calculus 1! However, Calculus 1 is more likely to cover differential calculus, with integral calculus soon after. So there really isn't a right answer for this question.
It is certainly used in calculus, just as calculus can be used in trigonometry.
First, you need to learn how to do calculus. This can be accomplished through either taking a calculus class or figuring it out on your own. Next, you apply what you have learned to the problem, eventually arriving at the answer.
The foundation, in both cases, is the concept of limits. Calculus may be said to be the "study of limits". You can apply a lot of calculus in practice without worrying too much about limits; but then we would be talking about practical applications, not about the foundation.
Calculus is interesting because it is incredible that human intelligence has discovered a way to solve a problem using a formula that can be repeated. Calculus is not necessarily about the numbers, but about the fact that we can apply rules and theories to numbers in a variety of situations.
No, it is not required to take calculus in high school to become a veterinarian. However, if it is an option and you have the math skills to take calculus, it will probably help you in undergraduate where you will have to take calculus and pass it to apply to vet school. Most vet schools require Calculus I and some require Calculus I and II to apply for vet school. The reason I would recommend taking calculus in high school if you have the math background is because taking it for the first time in high school is free and gives you at least some of the knowledge of the class so that when you take it in undergraduate and have to pay tuition you have a better understanding of the topic.
To apply for admission to vet school in the United States you must complete at least Calculus I in undergraduate college; some vet schools require Calculus II.
It is the study of how to apply calculus to functions of more then 1 variable. It allows us to do the same things we could in two dementions in n dementions. It is closely related to linear algebra.
I am assuming you understand the distinction between single-variable calculus (calculus of one variable) and multivariable calculus (calculus of several variables). Well, if you know the former, that is highly beneficial because the same techniques are used in the latter -- they are generalized to apply to calculus of n-variables. This is ultimately the goal of single-variable calculus. Why? Well, if you think about it, single-variable is not really applicable. Not many real world phenomena involve one variable. For example, in macroeconomics, GDP = Y is a function of many variables: Consumption (a function of net taxes and income), Investment (a function of real interest rates), Government Spending, and Net Exports. That is, Y=f(C(Y,T), I(r), G, NX). To perform many of the tools of calculus (e.g. finding how Y changes as G increases) to this function, one must know and apply multivariable calculus.
Calculus; by a long shot.
Pre-calculus refers to concepts that need to be learned before, or as a prerequisite to studying calculus, so no. First one studies pre-calculus then elementary calculus.
Just about all of calculus is based on differential and integral calculus, including Calculus 1! However, Calculus 1 is more likely to cover differential calculus, with integral calculus soon after. So there really isn't a right answer for this question.
Calculus is calculus. There isn't really another word for it.
I don't know the details about this particular student, but I would hazard a guess that he didn't know quite a few other things about calculus, either. In any case, if you don't know the fundamental theorem - at least, if you don't know how to apply it in practice - you'll have serious problems with many different problems - specifically when you need to do definite integrals.