Applied Mathematics
minimize or maximize a function
maximize x(1-x)e^x
minimize or maximize a function of several variables
maximize 5 + 3x - 4y - x^2 + x y - y^2
minimize or maximize a function subject to a constraint
maximize e^x sin y on x^2+y^2=1
Numerical Integration
numerically integrate functions that cannot be integrated symbolically
integrate sin(cos x) from x=0 to 1
integrate sqrt( (1+x^2)/(1+x^4) ) dx, x=0..1
analyze the logistic map
logistic map r=3.569935
analyze the Lotka-Volterra predator-prey model
predator-prey model
analyze a transfer function model
transfer function (s^2-3)/(-s^3-s+1)
analyze a state space model
state {{0,1,0},{0,0,1},{1/5,-1,0}}, input {{0},{0},{1}}, output {{-3,0,1}}
Game Theory
get information about a mathematical game