>>11552550If you know Calc I-II then find a multivariable text online and start reading through that. Stewart is fine. Same with linear algebra, Lay & Lay. Then read some sort of book on proofs, maybe "How to Prove it." (I have never used this personally but heard it's good.)
After this, read Rudin Principles of Math Analysis, first 6 or 7 chapters. Also hit Dummit and Foote, Abstract Algebra, or I. N. Herstein, Abstract Algebra. Look in the preface of Dummit and Foote to see which topics are most important to cover.
After this point you have some freedom. You can hit Probability Theory, Mathematical Stats, Diff Eq's, Partial Diff. Eq's, Complex Analysis, Topology, and Numerical Analysis undergrad texts.
That would constitute your typical normie math major in the states. All of these can be found on pdf.
If you really want to just get a feel for what proof based math is like though, just read "how to prove it" or some similar "abstract math introduction" text.