Some of you asked for a recap of the topics we’ve covered that might be on the exam.

What we’ve done:

– Mathematical induction

– Transpose of a matrix, symmetric matrices

– Section 1.2 (systems of linear equations)

– Section 1.3 (Markov chains, dynamic models)

– Section 1.4 (linear programming, underdetermined systems)

– Section 2.1 (matrices, vectors)

– Section 2.2 (matrix multiplication)

– Section 2.4 (matrix algebra)

– Section 2.5 (norms and bounds, eigenvalues and eigenvectors)

If you’d like to pick up your graded homework assignments, they are in three piles on three chairs outside my office. My office is Physics A-149, but you can most easily access it by taking the elevator in the Math building to the 1st floor, exiting right and walking toward the Physics building. The door to my office is past a doorway on the left just at the beginning of the walkway between the Math and Physics buildings.

Here’s that LCD Soundsystem/Miles Davis video I mentioned in class today. And this xxyyxx album was in the list of videos on the right so I figure I might as well link it, too. The dude made that record when he was 16. If you dig electronic music you should listen to all of the artists mentioned in the second paragraph of xxyyxx’s Wikipedia page. Okay, fine, I’ll just copy and paste it here. “His style was also likened to Clams Casino, Zomby, Burial, James Blake and The Weeknd.^{[4]}^{[8]} His musical influences include Lapalux, Star Slinger, Disclosure and Shlohmo.”
And pretty much every artist on the Tri Angle label is worth a listen, too. I’ve also been bumping the Acid Arab collections lately. And old Julio Bashmore (his new track with Jessie Ware is aight). Okay I’ll stop now.
Wait one more thing — I meant to mention this on Tuesday but Schoolboy Q’s new album is out; it bumps.

Here’s a quick *pintura negra* by Goya to get things back on track. It’s called *Riña a garrotazos*, which translates, roughly, to “Boyfights with Baby Buster”

Goya painted the *Pinturas negras* (Black Paintings) directly on the walls of his house outside of Madrid around 1819-1822, when he was in his 70s and just totally bummed out about the whole situation of like everything like Napoleon taking over and the Peninsular War and atrocities and stuff. They’re my favorite stuff of his, and in fact one of my favorite series of works by any artist; you can find them at the Prado in Madrid, to which they were transferred a while back (they’re on canvas now).