Title: Multivariable Calculus

Front: Define a path.
Back: A path is a continuous function \(α: I \rightarrow \mathbb{R}^n\), with \(I\) being an interval of real numbers.

Front: What is a curve?
Back: A curve \(C\) is a set \(C=\{\mathbf{x} \in \mathbb{R}^n: \mathbf{x}=α(t) \text{ for some } t \text{ in } I\}\), with \(α\) being a path.