Documentation improvements: fix typo, broken reference, and add missing example

docs/make.jl

@@ -17,6 +17,7 @@ makedocs(;
         "Examples" => [
             "examples/DiffEqFlux.md",
             "examples/adaptive_control.md",
+            "examples/coulomb_control.md",
             "examples/ODE_jac.md"
         ],
         "API" => "api.md"

docs/src/index.md

@@ -9,8 +9,3 @@ language for, but without actually needing a modeling language. The main targets
 in [DifferentialEquations.jl](https://github.com/SciML/DifferentialEquations.jl) and
 [Optim.jl](https://github.com/JuliaNLSolvers/Optim.jl), but anything that requires
 flat vectors is fair game.
-
-```@contents
-Pages = ["examples/example1.md"]
-Depth = 2
-```

docs/src/indexing_behavior.md

@@ -91,7 +91,7 @@ julia> ca[KeepIndex(:b)]
 ComponentVector{Int64}(b = [4, 1])
 ```
 
-Now instead of just returning a plain `Vector`, this returns a `ComponentVector` that keeps the `b` name. Of course, this is still compatible with `view`s, so we could have done `@view ca[KeepIndex(:b)]` if we wanted to retain the view into the origianl.
+Now instead of just returning a plain `Vector`, this returns a `ComponentVector` that keeps the `b` name. Of course, this is still compatible with `view`s, so we could have done `@view ca[KeepIndex(:b)]` if we wanted to retain the view into the original.
 
 Similarly, we can use plain indexes like ranges or integers and they will keep the names of any components they capture: