**file1_vector_fields** ![file1_vector_fields](gifs/file1_vector_fields.gif) **file2_grad_of_scalar_function** ![file2_grad_of_scalar_function](gifs/file2_grad_of_scalar_function.gif) **file3_constructing_vector_field** ![file3_constructing_vector_field](gifs/file3_constructing_vector_field.gif) **file4_slope_field** ![file4_slope_field](gifs/file4_slope_field.gif)