Math Brush-up course for students starting Master in macroeconomic policy and financial markets (MPFM) at Barcelona GSE.

September 2014

Content and references

Slides

Introduction to mathematical analysis (+basic reading references)

Introduction to optimization

Exercises

Mathematical analysis

1. Continuous functions
2. Differential calculus part 1
3. Differential calculus part 2
4. Implicit functions

Optimization

1. Unconstrained problems
2. Problems with equality constraints
3. Problems with inequality constraints

Take-home exam

Supplementary material

Mathematics - a learning map