UCL MATH0003 - Analysis

Math

Hey guys, here is the anki deck I've created for MATH0003 - Analysis 1 at UCL. The deck includes definitions, theorems, proofs, and remarks taken from the student notes created for Professor Leonid Parnovski's course. This deck is probably most useful for memorising definitions, but being continually forced to prove the theorems is also helpful. This deck is used best when you spend quite a long time on it per day, actually proving the theorems and such rather than just pretending you remember them, so I wouldn't set a crazy new cards per day if you're in term or getting started. Also please note that some of the theorems in the course do not have names so I have taken the liberty to name them myself (sorry) and as this deck was originally meant for me and my friends, some of the names (and hints of proofs) are inside jokes with my mates (double sorry). Anyway, enjoy!

Sample Data

Front Proof: Prove that
Hint show that exp is strictly increasing for bijectivity and use the intermediate value theorem and bounds to show surjectivity.
Back
Front Theorem: State the second theorem posited by TLFS.
Back
Front Proof: Prove the algebra of continuity theorem
Hint Use TLFS!
Back
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