# Thread: What should be the order of things on an introduction to pure mathematics module?

1. ## What should be the order of things on an introduction to pure mathematics module?

I want to produce a resource that has a narrative and includes the following topics:
Sets, logic and proofs, numbers (irrational, integers, rational, …), binomial theorem, geometric series, inequalities, define things like identity, polynomial, symmetry, sigma and product notation.
It is in aid as an introduction to a number theory module.
How should I order these so that the end document has a narrative and is coherent, not just disjoint set of topics?

2. ## Re: What should be the order of things on an introduction to pure mathematics module?

Here's an order I'd attempt to go by, with the assumption that teaching and assigning proof questions throughout

Numbers and Axioms (especially for fields)
Inequalities
Sigma and Product notation
Binomial Theorem

Sets
Sequences (introduce definition of limits also)
Series
Functions (graphs, polynomials, symmetry)