Learn to choose coordinate systems, visualize multivariable functions, and parameterize curves. You can use these live scripts as demonstrations in lectures, class activities, or interactive ...

Finding the extrema of a multivariable function is an essential skill in calculus and applied mathematics. This process allows you to determine the minima and maxima of a function across multiple ...

target_f = (x, y) -> (2x*x + 3y - 1) # (x,y)->(2*x) seed 20 # (x, y)->(x/y) seed 20 ...

To introduce calculus of functions of several variables. Module Summary This module, which continues and extends the work of MAS1612, develops many of the ideas that are needed when constructing ...

Sparse grids approximate functions of multiple variables with far fewer evaluations than corresponding dense grids. For Bayesian statistics, they provide a pathway to efficient deterministic inference ...

Going from a single variable to millions of variables is hard. Understanding the three main types of functions helps make sense of multivariable calculus. Surprisingly, they share a deep connection.

Abstract: This paper describes the first reliable Newton algorithm for the sequential computation of the set of dominant poles of scalar and multivariable transfer functions of infinite systems. This ...

Abstract: The necessary and sufficient conditions for the realization of a class of multivariable positive real functions, which are of the first or of the second degree in all variables except for ...