Analysis
Problems involving some real analysis. This is a pretty technical lecture and will delve into the nuances of converge issues, absolute versus conditional convergence, using calculus properly, compact sets, and so on. Featuring the art of Lagrange multipliers.
Analysis is an algebra unit concerned with the size of real numbers. As it is in the Technical class, it is one of the units with the most demanding pre-reading.
It is the easier counterpart to Putnam Analysis.
Content covered in reading
The pre-reading consists of chapters 8, 26, and 28 of Napkin as well as Lagrange Multipliers Done Correctly.
The unit mentions the following topics, among others.
- Learning the definition of supremum, infinum, and convergence
- Learning that an infinite sum is actually defined as the limit of its partial sums, and the notion of absolute convergence.
- Compactness.
Notable problems
- Shortlist 2012 A4
- Putnam 1996 B6