Volunteers. In fact, I think it is best not to ask this question to an experienced person who is not a math major. Students in the department of mathematics study mathematics in order to complete their studies or further their studies. It depends on what you are learning these things for.

If you want to study analysis, you can certainly study in this order.

Just to lay a good foundation in mathematics, you can spend more time on mathematical analysis, see its expression and prove your thinking. Mainly concerned with the convergence of real number theory sequence, there is no high number or anything.

If it is to lay the foundation for learning probability statistics, information theory, finance and control, it is more important to understand the measure theory, and there is no need to deliberately pursue real variable functions. Of course, learning it is also a good thing. Functional words can naturally be transferred from linear algebra. Of course, you have to choose a slightly deeper line as a reference.

I wish you progress in your study.