Here’s the the honors components I’ve completed thus far during my stay at community college.
First-semester freshman under Professor Wolfson for Calculus III:
Obtaining the Shortest Distance Between Two Points on a Surface
Paper is dedicated to the discussion of functionals, calculation of variations, and the derivation of the geodesic on a surface.
Second-semester freshman under Professor Wolfson for General Physics I:
Applying Quaternions to Rotating Reference Frames
Discussing quaternions, deriving the formulas for motion in a rotating reference frame, then combining the two together. Appendix is dedicated to discussing quaternion’s algebraic properties.
I’ll likely do one my first-semester as a sophomore as well. We aren’t there yet, so we’ll see.