function analysis. the understanding of spatial and time relationships through the study of their changes

there are many books you can read which will teach you calculus. they will start with limits, then move to derivatives, then integrals. this course will not do that. our goal is to truly understand a function. who are they? how do they grow? what can they tell us? what are their strengths and weaknesses? in order to achieve this, we must define verbiage to describe functions and compare them to one another. this course assumes the reader has an intimate understanding of linear algebra, but no "calculus" skills, so to speak. also, please be kind about the title- this is "function" analysis not functional analysis, which is a more advanced topic of study!

first, we begin with a question: how do we study functions? what does divination look like? then, we accrue the tools of the trade required to carry out these practices. At last, we finally study the methodology and practice of function analysis, and all of its moving pieces (the brunt of the course)

chapters

o. the motivation

i. tools (limit)

ii. the form