Over the course of one year, you will receive extensive on-site training in mathematics, encompassing both pure mathematics and applied mathematics as well as take courses from UniCA's Mod4NeuroCog. Our main objective is to prepare you to integrate into the world of theoretical or applied mathematical research.

Through MFA, you will cultivate skills in various areas of mathematics to tackle complex phenomena found in fields such as finance, biology, and physics and specialize in one of three specific mathematical fields: Algebra and Geometry, Analysis-Scientific Computation or Probability-Statistics. Through this specialization, you will develop a profound understanding of your chosen area and gain  in-depth knowledge and expertise. 
 


MPA Class
MPA Class


By focusing on a specific mathematical field, you will be able to explore advanced topics and applications related to your research interests. With approval of your coordinator, you may also create a customized program comprising one specialization along with courses in for instance, PDEs/or stochastic processes. During your studies, you will have the option to do a 3-month research internship or pursue a thesis.
 

 
Algebra-Geometry Block
  
  • Complex Manifolds View
  • Introduction to Several Complex Variables View
  • Geometric Statistics View
  • Differential Topology and Geometry View
  • Cours Outline: Laurent Stolovitch : Introduction to Nash-Moser theory and applications in dynamical systems and geometry. View
Analysis Block
  
  • Functional Analysis View
  • Mathematical Tools for PDE View
  • Numerical Methods for PDE View
  • Advanced Methods for Numerical Analysis and Computer Science View
  • Advanced Partial Differential Equations Analysis, Hyperbolic Conservation Laws View
Probability and Statistics Block
  • Stochastic Calculus
  • Numerical Methods in Probability
  • Advanced Stochastics
  • Statistical Learning with, on Graphs 
  • Geometric Statistics 
 
   
Introductory Courses
Algebra-Geometry Block Analysis Block Probability & Statistics Block
  • Complex Geometry
  • Geometry/Dynamics
  • Algebraic Topology
  • Complex Analysis
  • Functional Analysis
  • Mathematical Tools for PDE
  • Probabilistic and computational methods
  • Stochastic calculus and applications
  • Advanced Stochastic and Applications
Advanced Courses
Algebra-Geometry Block Analysis Block Probability & Statistics Block
  • Dynamical Systems
  • Advanced Geometry
  • Advanced PDE
  • Advanced methods for numerical Analysis
  • Fundamentals of machine learning and computational
  • Statistical Learning
  • Geometric statistics
 

Program Details


 

Dates
2024-25 Application Period May 6th 2024 - July 12th 2024
2024-25 Course Dates September 9th, 2024 - February 28th 2025
Internship Period March 3rd, 2025 - June 15th 2025
Semester 1

Mandatory Courses

Subject Value

ECTS

Probability Option

Subject   Value
Monte Carlo Methods and Markov Chains 6 ECTS
Stochastic Processes 3 ECTS
Optional: Introduction to PDEs 3 ECTS
Optional: Mathematical Presentations 1                          3 ECTS

Scientific Computing Option

Subject Value
Partial Differential Equations and Finite Differences 6 ECTS
Introduction to PDEs 3 ECTS
Optional: Stochastic Processes 3 ECTS
Optional: Mathematical Presentations 1 3 ECTS
Semester 2

Mandatory Courses

Subject Value
Commutative Algebra 6 ECTS
Differential Calculus and Differential Geometry 6 ECTS
Fourier Analysis and Distributions 6 ECTS
Professional English 2 ECTS
Thesis 4 ECTS
 

Probability Option

Subject Value
Mathematical Statistics 1                                   3 ECTS
Optional: Mathematical Statistics 2 3 ECTS
Optional: Mathematical Presentations 2 3 ECTS

 
 

Scientific Computing Option

Course Value

Optimization and Finite Elements

3 ECTS

Optional: Optimization and Finite Elements 2

3 ECTS

Optional: Mathematical Presentations 2

3 ECTS
 

Internship

Location Duration Dates Value
In a public or private research laboratory

15 Weeks

March 1st 2024 - June 15th 2024 30 ECTS
Duration

The program duration will vary depending on the chosen specialization.

Lectures: 100 hours
Tutorials/Practical Work: 50-80 hours
Internship or Research Thesis: Flexible 

MFA students may customize their curriculum by selecting a minor that includes optional courses of 24 hours per semester.

Evaluation
 
  • 5 mandatory courses must be chosen from the blocks above including three advanced and two introductory
  • Continuous assessment for the 5 selected teaching units.
  • Internship report composition and presentation to the internship committee
Course Schedule 2024/2025