Merge pull request #204 from bowenszhu/fix-readme

Update README `jacobian_sparsity`

Author: ChrisRackauckas

README.md

@@ -43,18 +43,17 @@ end
 
 For this function, we know that the sparsity pattern of the Jacobian is a
 `Tridiagonal` matrix. However, if we didn't know the sparsity pattern for
-the Jacobian, we could use the `jacobian_sparsity` function to automatically
-detect the sparsity pattern. This function is only available if you
-load SparsityDetection.jl as well. We declare that the function `f` outputs a
-vector of length 30 and takes in a vector of length 30, and `jacobian_sparsity` spits
-out a `Sparsity` object which we can turn into a `SparseMatrixCSC`:
+the Jacobian, we could use the `Symbolics.jacobian_sparsity` function to automatically
+detect the sparsity pattern. We declare that the function `f` outputs a
+vector of length 30 and takes in a vector of length 30, and `jacobian_sparsity` returns
+a `SparseMatrixCSC`:
 
 ```julia
-using Symbolics, SparseArrays
+using Symbolics
 input = rand(30)
 output = similar(input)
 sparsity_pattern = Symbolics.jacobian_sparsity(f,output,input)
-jac = Float64.(sparse(sparsity_pattern))
+jac = Float64.(sparsity_pattern)
 ```
 
 Now we call `matrix_colors` to get the colorvec vector for that matrix: