# Mathematics for economics

This course is ongoing, and material will be modified
throughout. Registered students can find problem sets, solutions
and grades on
UBC Canvas. Other users
interested in problem sets and solutions should contact
me. TeX code for all documents is available
from a
git repository. If you want to know when I have made
changes to the notes, you can sign up as a "Watcher" on
bitbucket, or subscribe to the
repository rss feed.
Please contact me if you notice any errors
or want to suggest changes or additions.

Syllabus
### Current lecture notes and slides

- Optimization,
slides
- Optimal control,
slides
- Dynamic
programming, slides
- Sets and orders,
slides
- Metric spaces, topology,
and continuity, slides
- Linear spaces and
transformations, slides
- Calculus

### Previous lecture notes and slides

- Sets, numbers, and proofs:
notes
and
slides
- Linear algebra
- Systems of linear equations
notes
and
slides
- Matrix algebra
notes
and
slides
- Vector spaces
notes
and
slides
- Applications
notes
and
slides

- Calculus of several variables
- Limits and topology of metric spaces
notes
and
slides
- Functions
notes
and
slides
- Differential calculus
notes
and
slides
- Contraction principle, inverse and implicit function theorems
notes
and
slides

- Eigenvalues, eigenvectors, and definite matrices (see
unconstrained optimization notes)
- Optimization
- Unconstrained notes
and
slides
- Constrained notes
and
slides
- Applications notes
- Homogenous and homothetic functions
- Convexity

- Dynamic programming and optimal control
notes
and
slides
- Monotone comparative statics
slides