MAT237Y1 Study Guide - Scalar Multiplication, Parallelogram, Euclidean Space
Document Summary
So the expression f (x, y, z) stands for the value that f assigns to the input (x, y, z). In multivariate calculus we are trying to extend the main ideas and techniques of one variable calculus to the multi-variate functions. Working with functions of one variable we use many famous properties of r. this may sometimes happen unconsciously. It is a common practice in one variable. Calculus to work with expressions such as f ( x), f (x + h), or f (kx). These operations make sense since the range of the variable x is real numbers, and in the real numbers the algebraic operations such as addition and multiplications, etc. are well de ned. In one variable calculus one does not realize how conveniently a point or an input to the function is a real number and as such they are conveniently open to algebra and possess convenient algebraic properties.