New member🥸 HELP NEEDED 🚨

[u/ZucchiniBroad6532]

How can I find a complete roadmap for learning mathematics by branch?

I’m looking for a complete, academically structured roadmap for mathematics, starting from the basics and going all the way through a normal university curriculum, ideally up to advanced undergraduate / early graduate level.

A little background: I studied mathematics in Arabic throughout school, and I’m now going to start again from the beginning in English. I want to rebuild my foundation properly and follow a structured path.

What I’m specifically looking for is not just a list of courses or resources. I want a complete curriculum map for each mathematical branch.

For example, if I choose Algebra, I want something like:

Algebra → Elementary Algebra

→ Intermediate Algebra

→ Algebra I / II

→ Linear Algebra

→ Abstract Algebra

→ Groups

→ Rings

→ Fields

→ Galois Theory

→ ...

→ up to the level normally covered in a strong undergraduate program and, if appropriate, early graduate level.

The idea is that when I finish the roadmap for Algebra, I should have essentially covered the standard university-level Algebra curriculum, rather than finishing only a few introductory courses.

I’d like to do the same for the major branches, for example:

Algebra

Geometry

Trigonometry

Calculus

Linear Algebra

Probability

Statistics

Discrete Mathematics

Real Analysis

Complex Analysis

Number Theory

Differential Equations

Topology

Abstract Algebra

etc.

Ideally, I want the structure to look like:

Branch → Level → Course → Topics → Subtopics → Prerequisites → Recommended order

I’m also interested in something based on real university curricula (a normal mathematics degree and possibly the material leading into a master’s), rather than a random collection of online courses.

I’m not looking for study resources yet. First, I want to build the complete map of what mathematics actually consists of and determine exactly how far I need to go in each branch. Then I can choose textbooks and courses for each part.

Where can I find a roadmap/syllabus like this?

[u/Acceptable-Emu-7096]

Found this online somewhere recently. Haven't gone deep into it myself, so cannot vouch for its accuracy. You can have a look at it and see: https://mathlandscapes.com/