Is this like a creative response thing? I would say the truth?
THESIS STATEMENT-
Mathematics has been used everyday for thousands of years, and is still used daily; we as humans use mathematics simply to buy a cup of coffee, to building a multi-million dollar company, to engineering a house, or interstate. Mathematics is a wide span of numbers, and non numbers, we use math like adding, subtraction, multiplying, and dividing everyday even if it is for something as simple as paying for a meal, or making important business decisions.
None in the sentence.
I is the subject
am is the verb
happy is an adjective. It describes I (I am a happy I)
to see is an infinitive phrase. It is is not acting as a preposition.
you is the object of the verb see.
There isn't one. Don't confuse an infinitive with a propositional phrase. An infinitive is a verb form. A prepositional phrase is a noun form.