diff --git a/REQUIRE b/REQUIRE
index f725f9d..913499f 100644
--- a/REQUIRE
+++ b/REQUIRE
@@ -1,2 +1,2 @@
 julia 0.6
-Compat 0.17.0
+Compat 0.62.0
diff --git a/src/Calculus.jl b/src/Calculus.jl
index bbfb780..8a95113 100644
--- a/src/Calculus.jl
+++ b/src/Calculus.jl
@@ -1,6 +1,6 @@
 __precompile__()
 module Calculus
-    import Compat
+    using Compat
     export check_derivative,
            check_gradient,
            check_hessian,
@@ -54,8 +54,8 @@ module Calculus
     include("finite_difference.jl")
     include("derivative.jl")
     include("check_derivative.jl")
-    @Base.deprecate integrate(f,a,b) quadgk(f,a,b)[1]
-    @Base.deprecate integrate(f,a,b,method) quadgk(f,a,b)[1]
+    Base.@deprecate integrate(f,a,b) quadgk(f,a,b)[1]
+    Base.@deprecate integrate(f,a,b,method) quadgk(f,a,b)[1]
     include("symbolic.jl")
     include("differentiate.jl")
     include("deparse.jl")
diff --git a/src/deparse.jl b/src/deparse.jl
index 2cfc985..1ca0f89 100644
--- a/src/deparse.jl
+++ b/src/deparse.jl
@@ -1,4 +1,4 @@
-const op_precedence = Compat.@compat Dict(:+ => 1, :- => 1, :* => 2, :/ => 2, :^ => 3)
+const op_precedence = Dict(:+ => 1, :- => 1, :* => 2, :/ => 2, :^ => 3)
 
 function deparse(ex::Expr, outer_precedence=0)
     if ex.head != :call
diff --git a/src/derivative.jl b/src/derivative.jl
index b3f1d55..5d663da 100644
--- a/src/derivative.jl
+++ b/src/derivative.jl
@@ -13,13 +13,17 @@ derivative(f, dtype::Symbol = :central) = derivative(f, :scalar, dtype)
 gradient(f, x::Union{T, Vector{T}}, dtype::Symbol = :central) where {T <: Number} = finite_difference(f, float(x), dtype)
 gradient(f, dtype::Symbol = :central) = derivative(f, :vector, dtype)
 
-function Base.gradient(f, x::Union{T, Vector{T}}, dtype::Symbol = :central) where T <: Number
-    Base.warn_once("The finite difference methods from Calculus.jl no longer extend Base.gradient and should be called as Calculus.gradient instead. This usage is deprecated.")
+function Compat.LinearAlgebra.gradient(f, x::Union{T, Vector{T}}, dtype::Symbol = :central) where T <: Number
+    Base.depwarn("The finite difference methods from Calculus.jl no longer extend " *
+                 "Base.gradient and should be called as Calculus.gradient instead. " *
+                 "This usage is deprecated.", :gradient)
     Calculus.gradient(f,x,dtype)
 end
 
-function Base.gradient(f, dtype::Symbol = :central)
-    Base.warn_once("The finite difference methods from Calculus.jl no longer extend Base.gradient and should be called as Calculus.gradient instead. This usage is deprecated.")
+function Compat.LinearAlgebra.gradient(f, dtype::Symbol = :central)
+    Base.depwarn("The finite difference methods from Calculus.jl no longer extend " *
+                 "Base.gradient and should be called as Calculus.gradient instead. " *
+                 "This usage is deprecated.", :gradient)
     Calculus.gradient(f,dtype)
 end
 
diff --git a/src/differentiate.jl b/src/differentiate.jl
index 75f5875..a80c82a 100644
--- a/src/differentiate.jl
+++ b/src/differentiate.jl
@@ -79,9 +79,9 @@ end
 # d/dx (f * g * h) = (d/dx f) * g * h + f * (d/dx g) * h + ...
 function differentiate(::SymbolParameter{:*}, args, wrt)
     n = length(args)
-    res_args = Vector{Any}(n)
+    res_args = Vector{Any}(undef, n)
     for i in 1:n
-       new_args = Vector{Any}(n)
+       new_args = Vector{Any}(undef, n)
        for j in 1:n
            if j == i
                new_args[j] = differentiate(args[j], wrt)
@@ -196,7 +196,7 @@ export symbolic_derivatives_1arg
 
 # deprecated: for backward compatibility with packages that used
 # this unexported interface.
-derivative_rules = Vector{Compat.@compat(Tuple{Symbol,Expr})}(0)
+derivative_rules = Vector{Tuple{Symbol,Expr}}()
 for (s,ex) in symbolic_derivative_1arg_list
     push!(derivative_rules, (s, :(xp*$ex)))
 end
@@ -263,7 +263,7 @@ end
 
 function differentiate(ex::Expr, targets::Vector{Symbol})
     n = length(targets)
-    exprs = Vector{Any}(n)
+    exprs = Vector{Any}(undef, n)
     for i in 1:n
         exprs[i] = differentiate(ex, targets[i])
     end
@@ -271,6 +271,8 @@ function differentiate(ex::Expr, targets::Vector{Symbol})
 end
 
 differentiate(ex::Expr) = differentiate(ex, :x)
-differentiate(s::Compat.AbstractString, target...) = differentiate(parse(s), target...)
-differentiate(s::Compat.AbstractString, target::Compat.AbstractString) = differentiate(parse(s), symbol(target))
-differentiate(s::Compat.AbstractString, targets::Vector{T}) where {T <: Compat.AbstractString} = differentiate(parse(s), map(symbol, targets))
+differentiate(s::AbstractString, target...) = differentiate(Compat.Meta.parse(s), target...)
+differentiate(s::AbstractString, target::AbstractString) =
+    differentiate(Compat.Meta.parse(s), Symbol(target))
+differentiate(s::AbstractString, targets::Vector{T}) where {T <: AbstractString} =
+    differentiate(Compat.Meta.parse(s), map(Symbol, targets))
diff --git a/src/finite_difference.jl b/src/finite_difference.jl
index b8767ff..e229faa 100644
--- a/src/finite_difference.jl
+++ b/src/finite_difference.jl
@@ -139,7 +139,7 @@ function finite_difference(f,
                            x::AbstractVector{T},
                            dtype::Symbol = :central) where T <: Number
     # Allocate memory for gradient
-    g = Vector{Float64}(length(x))
+    g = Vector{Float64}(undef, length(x))
 
     # Mutate allocated gradient
     finite_difference!(f, float(x), g, dtype)
@@ -261,7 +261,7 @@ function finite_difference_hessian!(f,
         end
         xpp[i], xpm[i], xmp[i], xmm[i] = xi, xi, xi, xi
     end
-    Base.LinAlg.copytri!(H,'U')
+    Compat.LinearAlgebra.copytri!(H,'U')
 end
 function finite_difference_hessian(f,
                                    x::AbstractVector{T}) where T <: Number
@@ -269,7 +269,7 @@ function finite_difference_hessian(f,
     n = length(x)
 
     # Allocate an empty Hessian
-    H = Matrix{Float64}(n, n)
+    H = Matrix{Float64}(undef, n, n)
 
     # Mutate the allocated Hessian
     finite_difference_hessian!(f, x, H)
diff --git a/src/symbolic.jl b/src/symbolic.jl
index 4c5004b..c5578ae 100644
--- a/src/symbolic.jl
+++ b/src/symbolic.jl
@@ -12,8 +12,8 @@ import Base.show, Base.(==)
 #
 #################################################################
 
-Compat.@compat abstract type Symbolic end
-Compat.@compat abstract type AbstractVariable <: Symbolic end
+abstract type Symbolic end
+abstract type AbstractVariable <: Symbolic end
 const SymbolicVariable = Union{Symbol, AbstractVariable}
 
 
@@ -93,7 +93,7 @@ function simplify(ex::Expr)
         return ex
     end
     if all(isnumber, ex.args[2:end]) && length(ex.args) > 1
-        return eval(current_module(), ex)
+        return eval(@__MODULE__, ex)
     end
     new_ex = simplify(SymbolParameter(ex.args[1]), ex.args[2:end])
     while !(isequal(new_ex, ex))
diff --git a/test/deparse.jl b/test/deparse.jl
index 37aa273..5a55641 100644
--- a/test/deparse.jl
+++ b/test/deparse.jl
@@ -1,8 +1,8 @@
 @test isequal(deparse(:(cos(x) + sin(x))), "cos(x) + sin(x)")
 @test isequal(deparse(:(cos(x) + sin(x) + exp(-x))), "cos(x) + sin(x) + exp(-x)")
-@test isequal(deparse(parse("x+y*z")), "x + y * z")
-@test isequal(deparse(parse("(x+y)*z")), "(x + y) * z")
-@test isequal(deparse(parse("1/(x/y)")), "1 / (x / y)")
-@test isequal(deparse(parse("1/(x*y)")), "1 / (x * y)")
-@test isequal(deparse(parse("z^(x+y)")), "z ^ (x + y)")
-@test isequal(deparse(parse("z^(x*y)")), "z ^ (x * y)")
+@test isequal(deparse(Compat.Meta.parse("x+y*z")), "x + y * z")
+@test isequal(deparse(Compat.Meta.parse("(x+y)*z")), "(x + y) * z")
+@test isequal(deparse(Compat.Meta.parse("1/(x/y)")), "1 / (x / y)")
+@test isequal(deparse(Compat.Meta.parse("1/(x*y)")), "1 / (x * y)")
+@test isequal(deparse(Compat.Meta.parse("z^(x+y)")), "z ^ (x + y)")
+@test isequal(deparse(Compat.Meta.parse("z^(x*y)")), "z ^ (x * y)")
diff --git a/test/derivative.jl b/test/derivative.jl
index 05096a8..57a9177 100644
--- a/test/derivative.jl
+++ b/test/derivative.jl
@@ -18,8 +18,8 @@ f2(x::Vector) = sin(x[1])
 #
 
 f3(x::Real) = sin(x)
-for x in linspace(0.0, 0.1, 11) # seq()
-	@test norm(f3'(x) - cos(x)) < 10e-4
+for x in Compat.range(0.0, stop=0.1, length=11) # seq()
+    @test norm(f3'(x) - cos(x)) < 10e-4
 end
 
 #
@@ -35,8 +35,8 @@ f4(x::Vector) = (100.0 - x[1])^2 + (50.0 - x[2])^2
 # jacobian()
 #
 
-@test norm(Calculus.jacobian(identity, rand(3), :forward) - eye(3)) < 10e-4
-@test norm(Calculus.jacobian(identity, rand(3), :central) - eye(3)) < 10e-4
+@test norm(Calculus.jacobian(identity, rand(3), :forward) - Matrix(1.0I, 3, 3)) < 10e-4
+@test norm(Calculus.jacobian(identity, rand(3), :central) - Matrix(1.0I, 3, 3)) < 10e-4
 
 #
 # second_derivative()
diff --git a/test/runtests.jl b/test/runtests.jl
index cfbdb52..4815daa 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -3,7 +3,9 @@
 #
 
 using Calculus
-using Base.Test
+using Compat
+using Compat.Test
+using Compat.LinearAlgebra
 
 tests = ["finite_difference",
          "derivative",