Well, I think I got my math existential crisis solved out.
Thanks for your opinions guys!
I'll be using the Matlab copies installed on the uni's labs, when I specifically need Matlab. I'll be using MathCAD and Wolfram Alpha as PC and phone math packages, respectively and I bought an HP Prime calculator for classroom use.
Here are the rationales for my decisions:
*Matlab is a necessary thing on my curriculum, but I cannot afford the home edition as well as a calculator (more on that later). I am, however, still complaining for my university not providing us with .edu.do emails (they own a .edu.do domain and have had online platforms much more complex than simple POP3 email)[/li][/list]
*MathCAD is free. I haven't done anything with it, but I would predict it is sort of like Eagle or DipTrace in the math packages world. Matlab and Mathematica being sort of like Altium and Cadence[/li][/list]
*I had already bought mobile Wolfram Alpha when I started uni. It was 5 bucks, no periodic fee and it lets me see solutions step by step. Amazing value, but it doesn't integrate very well with my normal work flow (no pun intended). It paid out in less than 1 trimester[\li]
*I felt like my Casio FX-115ES is great, but it has limitations and I am already starting to be affected by them. It solves matrices and even quadratic equations and (defined) integration, but it struggles with it. In the case of the 3rd order polynomial solver, it often only gave me 2 roots, instead of 3. I know that sometimes that is because 2 of the roots are actually the same, but I need to know which two.[\li]
*Enter the HP Prime. I already took and passed all standardized test in my uni and country, that I know of, so I can get whatever calculator I want, not ridiculously crippled 20-year-old dinosaurs like the TI-84. The Prime's competitor is obviously the TI N-spire. It is extremely ugly for a start. I once tried to use it and it was more than counterintuitive. The mouse thing is ridiculous, the keyboard is not qwerty, so programming on it, if possible, would be a pain. So the keyboard is quite useless. It's only there, taking 1/4 of the calculator's surface and it's only useful for inserting variables. No trigonometric functions in sight. It looks and is bulky.
The HP is quite different. They opted for a touchscreen, which is okay. I played with the emulator and the whole thing makes more sense. There is no space wasted on the keyboard. Most, if not all of the keys, as a consequence, are bigger. The hardware seems like a fine piece of instrumentation, not only a high school toy that has to stand the abuse of irresponsible users. The keys are reportedly clicky and firm, with a metallic feeling. HP markets it to students and professionals. TI doesn't even mention professionals. I plan to finish college, you know...
To top this off, the HP is cheaper. Its community consists of professionals and (slightly dissapointed) HP calculator aficionados. TI seems to be teachers and students. "But Ivan, aren't you a student?" I hear you ask... yes, and I get educated by teachers, but I get the practical advise from professionals, because that's what I am going to be.
So HP prime it is