From understanding the essence of differential and integral calculus in one variable, to constructing and using Taylor series, to studying vector calculus and its applications, this textbook series en...From understanding the essence of differential and integral calculus in one variable, to constructing and using Taylor series, to studying vector calculus and its applications, this textbook series encourages learners to explore the richness of Calculus in various fields, including physics, economics, and engineering.
Our first step is to explain what a function of more than one variable is, starting with functions of two independent variables. This step includes identifying the domain and range of such functions a...Our first step is to explain what a function of more than one variable is, starting with functions of two independent variables. This step includes identifying the domain and range of such functions and learning how to graph them. We also examine ways to relate the graphs of functions in three dimensions to graphs of more familiar planar functions.
