This chapter is designed to provide definitions, formulas, and brief explanations that are important in vector calculus, and also provide a context for how the topics described fit into the subject of calculus.
• This section provides a brief summary of scalars, vectors, the directional derivative, and the gradient. See Chapter 5 for more information on vectors and Chapter 6 for more information on the directional derivative and the gradient.
Scalars and Vectors
• Scalar functions are functions whose values are scalars. Similarly, vector functions are functions whose values are vectors. A scalar function in three dimensions f = f(x,y,z) is ...