Jul 13, 2015 · I think your confusion is well-founded (if that makes any sense). Mathematicians have concocted a theory of differential forms etc. in which dx, dy d x, d y make rigorous sense. But the …

See this answer in Quora: What is the difference between derivative and differential?. In simple words, the rate of change of function is called as a derivative and differential is the actual change of …

Given f(x) = 12xTAx +bTx + α f (x) = 1 2 x T A x + b T x + α where A is an nxn symmetric matrix, b is an n-dimensional vector, and alpha a scalar. Show that xf(x) = Ax + b x f (x) = A x + b and H = 2xf(x) = A …

Jul 21, 2018 · 72 can someone please informally (but intuitively) explain what "differential form" mean? I know that there is (of course) some formalism behind it - definition and possible operations with …

Even though is customary to learn differential calculus before integral calculus, some mathematicians think it's best to learn it the other way around. If you take a look at one of the best books on calculus, …

Oct 12, 2013 · Integration is the reverse of differentiation through the Fundamental Theorem of Calculus.Integration is generally tougher because you will learn and use techniques like partial …

The others are less obvious but in my experience, vector calculus and vector analysis are the same subject. Vector calculus and multivariable calculus are not the same. Multivariable calculus is quite …

In differential calculus, We know that dy/dx is the ratio between the change in y and the change in x. In other words, the rate of change in y with respect to x.

Feb 14, 2016 · I want to re-study differential and integral calculus of one and of several variables and be able to solve all kinds of low to high level problems related to them.

Aug 6, 2020 · Speaking about ALL differential equations, it is extremely rare to find analytical solutions. Further, simple differential equations made of basic functions usually tend to have ludicrously complic...