<p>@PKDFan…</p>
<p>The usual math major sequence is:</p>
<p>Calculus I (Limits, Sequences and all that mess)
Calculus II (Integrals and all that mess)
Calculus III (Vectors, Multiple Integrals, Surface Integrals, Gradients and all that mess)
Linear Algebra (varies by school…some more on Matrix Algebra…others on theory)
Differential Equations (Starting to optional at more and more schools)</p>
<p>After those 5 courses, technically you qualify for Real Analysis and Abstract Algebra. Where should the proof-writing start? What would you name the course. Many schools call it something like “Intro to Higher Mathematics”.</p>