Calculus

Explanation of tables

*	green	Function exists in octave 2.0.x Noted incompatibilities and missing features
+	yellow	Function exists in matcompat Author and home for the function.
?	orange	Function doesn't exist Explanation of what you can do instead.
x	red	Function doesn't exist, and no work-around

Integration
Howard Wilson and Bryce Gardner provide quadg, quad2dg and others. It looks like some cleanup is necessary before distributing with octave, such as renaming internal functions to __fn and removing unused functions.

*	quad
?	quad8
?	dblquad

Differentiation

*	diff
+	gradient	Kai Habel
+	del2	Kai Habel

Ordinary differential equations
Octave has lsode and dassl. Marc Compere has specifically ode23 and ode45, plus others.

+	ode45
+	ode23
x	ode113
x	ode23t
x	ode15s
x	ode23s
x	ode23tb
x	odefile

ODE parameters

x	odeset
x	odeget

ODE output

x	odeplot
x	odephas2
x	odephas3
x	odeprint