MVC

IMPORTANT Some of these functions require the Symbolic Math Toolbox to work. Make sure it is installed before trying to use them.

MVC operations

• diff(f(x),x,n) computes the nth derivative of f(x) which is a symbolic expression with respect to x. If n is omitted it will be the first order derivative. Full documentation

    syms x;
    f = x^3-4*x;
    diff(f,x,2)
  

• int(expr,var,a,b) computes the definite integral of symbolic expr with respect to var from a to b. If a and b are omitted then it will return a symbolic expression of the indefinite integral. Full documentation

    syms x;
    expr = sin(x) - x^4;
    int(expr,x)
  

• divergence(V,vars) computes the divergence of a vector field V with respect to the variables vars. V and vars are both row matrices and should have the same size. Full Documentation

    syms x y z
    V = [x^2, 3*y + y^2, z^3];
    vars = [x y z];
    divergence(V,vars)
  

• curl(V,vars) computes the curl of a vector field with respect to the variables vars. V and vars are both row matrices and should have the same size. Full Documentation

    syms x y z
    V = [x^2*y*z, 3*y + y^2 - z, x*z^3];
    vars = [x y z]
    curl(V,vars)
  

• gradient(f,vars) computes the gradient of a function f with respect to the variables vars. Where vars is a row matrix. Full Documentation

    syms x y z
    f = 2*x^3 + sin(y)*cos(z)
    vars = [x y z]
    gradient(f,vars)
  

• laplacian(f,vars) computes the laplacian of a function f with respect to the variables vars. Where vars is a row matrix. Full Documentation

    syms x y z
    f = cos(x)*y - z^3;
    vars = [x y z];
    laplacian(f,vars)
  

Plotting

• fplot(f(x),Range) similar to plot() but instead it takes a symbolic function and a range as [xmin xmax] to plot the function through. If the Range argument is omitted the range is [-5 to 5]. Full Documentation

    f = @(x) sin(x)^-3;
    fplot(f)
  

• fsurf(f(x,y),xyinterval) generates a 3D plot of a symbolic function of 2 variables, the second argument is a matrix that contains the following values [xmin xmax ymin ymax]. By default it’s interval is [-5 to 5] for both x and y. Full Documentation

    f = @(x,y) cos(x)*y^3;
    fsurf(f)
  

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