Sometimes, there is an absolute limit on the number of terms an officeholder can serve, while, in other cases, the restrictions are merely on the number of consecutive terms.
For example, Maxwell's Equations would always be capitalized, while quantum mechanics is usually un-capitalized. I searched half a dozen sites for an answer to this but found no clue about a rule. So go either way that makes you happy, but (most of all) be consistent.
I'm wondering if subjects such as algebra or biology should be capitalized when they are part of a sentence. For example, 'he looked back down at his algebra textbook', or is it 'Algebra textbook'. I tend to favour 'algebra' myself.