Notes in Mathematics
This website intends to summarize some notes about each "important" subject in Mathematics and Physics degree at Autonomous University of Barcelona (UAB) and at Paris Dauphine - PSL University. These summaries aim to provide a concise overview of the key concepts and topics covered in each subject, serving as a helpful resource for students and anyone interested in these fields of study.
You can download the sections separately as you like or the whole file of Mathematics. Keep in mind that downloading sections separately may cause some inconsistencies in references of theorems, definitions... from other sections.
Mathematics
Full summaries of Mathematics.
1st year
2nd year
- Algebraic structures
- Discrete mathematics
- Functions of several variables
- Linear geometry
- Mathematical analysis
- Numerical methods
3rd year
- Complex analysis
- Differential equations
- Differential geometry
- Galois theory
- Probability
- Statistics
- Topology
4th year
- Algebraic topology
- Dynamical systems
- Harmonic analysis
- Linear models
- Numerical calculus
- Numerical integration of partial differential equations
- Partial differential equations
- Real and functional analysis
- Stochastic processes
5th year
- Advanced dynamical systems
- Advanced probability
- Advanced topics in functional analysis and PDEs
- Introduction to nonlinear elliptic PDEs
- Montecarlo methods
- Numerical methods for PDEs
- Stochastic calculus