First of all, I´m very sorry for my bad english, especially writing. Ok, for differents problems i´m studing a Bachelor degree in Mathematics. These degree is online.
Now, the problem with my school is that it is new (created in 2009 for the Mexican Government ) and that implies that it is very bad in quality. Let me explain, they don´t have researchers, a decent teachers, the content (I mean the content in the subject is very low in quality if you compare with more prestiges universities in Mexico like ITAM, UNAM). Besides, they assign you a "teacher" and when you ask him a question (by email) never respond you, so it is on you to learn mathematics.
After that, i´m here to ask for help,tips and recommendation about books, pages or materials that help me to learn very well, with the condition that these materials have to be very well explained, remember I´m learning myself. I dont care the difficult that implies learn yourself mathematics because I like and it is my passion. My advantage, if you let me say that ,I sort of know english. Right now, I now about MIT opencourseware, Harvard video classes an so on, and i´m taking these videos like my courses to learn complementing with reading, examns. As you can see i´m interested in learning a decent international level in mathematics because im planning a master in economics in USA or England, so the point is prepare myself for that kind of level.
Actually these is my list of subjects of fourth-mester (it is a course during four months, sorry i dont know how called it):
Linear Algebra I - watching course MIT opencourseware Gilbert Strang. Book: Linear Algebra, G. Strang.
Probability I : Watching course "Statistics 110" with professor Joe Blitzstein from Harvard. Book: Statistical Mathematics and Data Analysis. J. Rice
Discrete Mathematics: Watching course "Mathematics for computing Sciencies". Book.: Discrete and Combinatorial Mathematics. Grimaldi.
For clarification, when I say "watch course" it means i already got the lectures, homeworks and exams for the three subjects.
I´m taking other subjects but it is about economics and history in Mexico, so for this purpose it doesn´t matter.
If any could help me about where i can get introductory materials about this subject I will be really thankful. What do you think about these courses and books? may be a better introductory book or video course?, advices about how to learn mathematics?. I read that some people is in Harvard, MIT and thousands of universities top rank in the world, and i would really like that those people tell me some tips because they have a better experience and I think the internet is the best way to catch that. I have to say that any advice it would an enormous help.
Thank you very much indeed for any suggestions. JAPS.
Update: sorry, my mistake. My bachelor degree is formed by twelve "fourth- mester". I mean twelve units of fourth months each one. right now im in the unit four and these is For now, I already took diferencial and integral calculus both with Apostol "Calculus; Vol. I and II", introduction to logic (no book), Geometry I (Book: Wooldrige " a modern approach to geometry"), and other subjects of different kind. Before i go too far, I prefer ask my doubts and catch all kinds of tips.
in the future, I will take Mathematics Analysis I and II, differential ecuationsI and II, partial ecuations, Geometry NO-Euclidean, Estocastic Process, modeling estocastic process, estatistics I, II and II, Topology I, Complex variable I and II, Linear ALgebra I and II, Modern Algebra I and II, Combinatorial ANalysis, Numerical Analysis I and II.. and I think that´s it.
Once again, I really appreciate to take the times for respond guys. JAPS