Numerical methods allow at least some of the calculus to be done by students who only know algebra (plus some computer programming skills). The velocity component in the x direction is then the change in x devided by the time change, vx = dx/dt. The acceleration component in the x direction is then the change in vx devided by the time change, ax = d(vx)/dt. One can then do integration on the computer with the simple assignment statements:
LET vx = vx + ax*dt
LET x = x + vx*dt
A simple planetary or satellite orbit program is then something like:
We can then explore elliptical orbits by increasing vy from 1 toward 1.414.
Beyond that we get parabolic and hyperbolic trajectories.
Of course there are other issues with trying to make a single "size" course that would "fit" all students. The lab component for one thing.