All currently available Math 61CM files |
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Evangelie Zachos' notes for Fall 2016, Math 61CM

Sarah Peluse's notes (proof writing!) for Fall 2015, Math 51H

### Lecture notes from Fall 2015, Math 51H, partially updated for 61CM/DM

- Basic algebra (updated)
- Vector spaces and linear maps (updated)
- Inner products (updated)
- A limit example
- Metric spaces
- Open and closed sets (updated)
- Rearranging series
- Orthogonal transformations
- Multilinear maps (updated!)
- Double series (for fun only!)
- Product rule
- Chain rule
- Summary of Nov 8 lecture
- Taylor's theorem
- The integral
- Permutations
- Duals, adjoints/transposes and the spectral theorem
- Distributions, for fun only!
- Contraction mapping theorem and ODEs
- The fundamental theorem of algebra