The course grade will be broken down as follows:
#Texshop derivative full
We will not learn the full power of this system (that would be a semester all by itself!) but will cover enough that you may decide to trade in MS Word or Googledocs for TeXShop or Overleaf.Ĭlearly we have a lot to learn, so let’s get started! \(\rm\LaTeX\) is an incredibly powerful document preparation system that is designed to help you make your work look professional and be easily read by your intended audience. In this class I will also ask you to write solutions to your homework using the \(\rm\LaTeX\) typesetting system.
The next day I will ask various students to come to the board and present their solutions, proofs, and arguments.
I will try on many occasions to provide a preview of the next day’s presentation with some gaps that I will ask you to fill in. You will be doing a lot of the work proving things. And we will find counterexamples and pathological twists that show where and why things break down. We will justify that the tricks we use actually work (for example, can you really integrate a series term-by-term?). We will prove all the theorems that we talked about in calculus (IVT, EVT, MVT, FTC, etc.) but never really proved. This course is going to look at the foundations of calculus-why it works and how all the pieces fit together. You have all completed BC3 and most of you have completed at least one post-calculus elective. Theory of Analysis is an extremely advanced course. Text: Jiří Lebl: Basic Analysis: An Introduction to Real Analysis.
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