For a $\mathcal{C}^1-smooth$ bump function $b: \mathbb{R}^2 \rightarrow \mathbb{R}$ we show that the gradient range $\nabla b(\mathbb{R}^2)$ is the closure of its ...

Serves as a continuation of MATH.2250. This course covers curvature, cylindrical surfaces, dot and cross products, curves and planes in three space, cylindrical and spherical coordinates, functions of ...