Math 140A - Analysis I (Winter '25)

Course Notes

1. Completeness (pdf) (html)
2. Sequences and Limits: (pdf) (html)
3. Series: (pdf) (html)
   • Decimal representations (pdf) (html). Just for fun. Solutions on Canvas.
4. Continuity: (pdf) (html)
5. All notes in one file (pdf) (html)

• Sections are numbered to roughly line up with the semi-official textbook Elementary Analysis: The Theory of Calculus by Kenneth Ross, though some topics are treated differently. You are strongly encouraged to get a copy for additional reading and exercises; moreover the same text will likely be followed for 140B.
• Please report typos or anything that's unclear. In particular, the html version is converted from the pdf. If something looks wacky, compare with the pdf and report it.
• All homework exercises (see Canvas) refer to these notes only, though many are taken from or paraphrased from Ross. Solutions to all exercises will eventually appear in Canvas.
• Notes will update through the term --- refresh/reload the page to make sure you have the latest version. In case you want to read ahead, an old full-length version of the notes are here: changes are likely to be minor, just don't answer homework from these as exercises and numbering could change!
• The source code is available to muck with if you're a LaTeX veteran. If you want to learn how to typeset mathematics like this, you can find a short guide here.