I'm largely self taught. I have learned multivariable calculus partly rigorously. I can deal with most ODEs, and I know some of the basic theory on PDEs (separation of variables) as well, mostly off Wikipedia. I have done an in depth study on undergraduate level real analysis, working through Jiri Lebl's Basic Analysis 1 and the first two chapters of his Basic Analysis 2. I have a decent understanding of linear algebra, I'm currently reading Linear Algebra Done Right, by Sheldon Axler. Great textbook, undoubtably would recommend. Finally, my current roadmap for the future is to study the rest of Basic Analysis 2, read Spivak's Calculus on Manifolds, Complex Analysis by Stein and Shakarchi, Pinter's Book of Abstract Algebra, and eventually Munkres Topology.