Web Reference: Feb 7, 2021 · This Calculus 3 video introduces the concept of a vector-valued function and shows how these functions are used to defined curves in 3D space. Our first step in studying the calculus of vector-valued functions is to define what exactly a vector-valued function is. We can then look at graphs of vector-valued functions and see how they define curves in both two and three dimensions. First we discuss the meaning of vector–valued functions and their graphs. Then we look at the calculus ideas of limit, derivative and integral as they apply to vector–valued functions and examine some applications of these calculus ideas.
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