Just about one week after my exams, I went to work on tidying up course notes and making sure that errata such as final exam study notes were polished enough to put on the blog. They’re now ready in the Course Notes section of this blog along with a bonus set of notes based on the multivariable calculus video series here.

Taught by Prof. Auroux, I decided to focus on only the vector calculus component of the lectures as the other components are well covered by my MATH 247 notes (also found on the same blog page). Specifically these notes cover the following:

- Basic topology of Euclidean R^2 and R^3 space
- Velocity, Electric, Magnetic and Force fields
- Line and Surface Integrals
- Curl, Flux, and Divergence
- Green’s Theorem
- Stokes’ Theorem
- Divergence Theorem
- Applications
- Torque
- Maxwell’s Equation

In addition to these notes, I also completed one of my little side projects which is a basic proof on the irrationality of Euler’s Number, e. Check it out in the Resources section.

Over the next couple months or so, I will also be preparing to write the Putnam exam in December, so stay tuned for future interesting problems.

For undergraduates who are taking the summer off, I hope you all have a nice vacation and a good rest for the upcoming fall term.

For co-op students like me who are back to work next week, stay diligent and strong. Your efforts will appreciate someday.