Mathematics Professor roadmap

Stage 1 of 3 · about 40 weeks

Foundations

Build the proof-based mathematical core every math professor needs: calculus, linear algebra, and the ability to read and write proofs.

1. 1

   Calculus and differential equations

   These are the courses you will teach most often, especially at community colleges and in service courses. You must know them so well that you can predict where students get stuck, such as the chain rule, u-substitution, or separation of variables.

2. 2

   Linear algebra

   Linear algebra is the language of modern mathematics, statistics, and data science. It is also a core course you will likely teach. Learning vector spaces, eigenvalues, and matrix decompositions gives you a base for nearly everything later.

3. 3

   Proof writing and discrete mathematics

   Upper-level math is about proof, not computation. Induction, contradiction, and contrapositive are the tools you will use daily and teach to others. Discrete math, including logic, sets, counting, and graphs, is also a core course you will be asked to teach.

4. 4

   Probability and statistics

   Statistics and actuarial science are named in the job description. Many departments need people who can teach intro statistics, which serves the largest number of students.

5. 5

   Mathematical writing with LaTeX

   Professors write exams, handouts, papers, and recommendation letters in LaTeX. It is the standard of the field and it is free.

Then 2 more stages (about 196 weeks in all) with lessons, drills, projects, 6 interview questions with strong answers and free resources.