Here are some Matlab codes for visualising various functions and concepts in Math 241 (Calculus III) Honors:

• plotting the space curve x=cos(t), y=sin(t), z=t (a helix)

• plotting the unit tangent, unit normal and binormal for points on the above helix

• the osculating circles for points on the above helix

• level curves of the function g(x,y)=sqrt(9-x^2-y^2)

• graph of the function f(x,y)=(x^2-y^2)/(x^2+y^2)