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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.
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What is multivariable 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.
Why should you study calculus?
Because calculus is lots of fun! Also because it is useful in science and engineering.
Why do you have to take calculus to be a vet?
probably not, but maybe its a useful tool probably not, but maybe its a useful tool
What is the formula for functions?
Assume you want to know what is the formula of the gradient of the function in multivariable calculus. Let F be a scalar field function in n-dimension. Then, the gradient of a function is: ∇F = <fx1 , fx2, ... , fxn> In the 3-dimensional Cartesian space: ∇F = <fx, fy, fz>
What is a gradient function?
Assume you want to know what is the formula of the gradient of the function in multivariable calculus. Let F be a scalar field function in n-dimension. Then, the gradient of a function is: ∇F = <fx1 , fx2, ... , fxn> In the 3-dimensional Cartesian space: ∇F = <fx, fy, fz>
What has the author Lawrence J Corwin written?
Lawrence J. Corwin has written: 'Multivariable calculus' -- subject(s): Calculus
When do you normally take multivariable calculus?
It is usually the third class in the calculus series ,so it is often taken in the second or third semester.
What is multivariable 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.
What has the author Thomas H Barr written?
Thomas H. Barr has written: 'Vector calculus' -- subject(s): Vector analysis 'Naval Warfare Analysis Experiment' -- subject(s): Management 'Multivariable calculus'
Is multivariable calculus hard?
That is not an easy question to answer. Many people find math hard in general and certainly some people find calculus hard to understand.Multivariable calculus is not really harder than single variable calculus. It is lots of fun since you learn about double and triple integrals, partial derivatives and lots more.I strongly suggest it for anyone who is thinking about taking it.
Why should you study calculus?
Because calculus is lots of fun! Also because it is useful in science and engineering.
What has the author Donald W Trim written?
Donald W. Trim has written: 'Multivariable Calculus' 'Introduction to complex analysis and its applications' -- subject(s): Mathematical analysis, Functions of complex variables
Why do you have to take calculus to be a vet?
probably not, but maybe its a useful tool probably not, but maybe its a useful tool
Where are the principles of calculus useful?
Everywhere there is change in conditions from communications to economics.
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.
What educational software can help me learn calculus?
Calculus Solved is software that is useful for learning calculus. It allows you to enter in problems and will walk you through how to solve each one. It also includes tests so you can track your progress.
What is the formula for gradient?
Assume you want to know what is the formula of the gradient of the function in multivariable calculus. Let F be a scalar field function in n-dimension. Then, the gradient of a function is: ∇F = <fx1 , fx2, ... , fxn> In the 3-dimensional Cartesian space: ∇F = <fx, fy, fz>
