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Course unit outlines
Advanced subjects
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Subject
|
Credits |
LOCAL ALGEBRA (Description / Teaching Plan) |
9 |
COMPLEX ANALYSIS (Description / Teaching Plan) |
9 |
FUNCTIONAL ANALYSIS (Description / Teaching Plan) |
9 |
ALGEBRAIC CURVES (Description / Teaching Plan) |
9 |
ALGEBRAIC GEOMETRY (Description / Teaching Plan) |
9 |
ARITHMETIC GEOMETRY (Description / Teaching Plan) |
9 |
GEOMETRY AND TOPOLOGY OF MANIFOLDS (Description / Teaching Plan) |
9 |
ALGEBRAIC NUMBER THEORY (Description / Teaching Plan) |
9 |
Professional subjects
|
Subject
|
Credits |
PARALLEL COMPUTING (Description / Teaching Plan) |
9 |
CRYPTOGRAPHY AND CODES (Description) |
7,5 |
SOFTWARE ENGINEERING (Description / Teaching Plan) |
9 |
GEOMETRY OF VISION (Description) |
7,5 |
INTRODUCTION TO QUANTITATIVE FINANCE (Description / Teaching Plan) |
9 |
OPTIMISATION AND CONTROL (Description / Teaching Plan) |
9 |
SOFTWARE GRAPHICS (Description) |
7,5 |
Advanced and professional subjects
|
Subject
|
Credits |
APPLIED HARMONIC ANALYSIS (Description / Teaching Plan) |
9 |
ALGEBRAIC COMPUTATION (Description / Teaching Plan) |
9 |
INTRODUCTION TO STOCHASTIC CALCULUS (Description / Teaching Plan) |
9 |
ANALYTICAL MECHANICS (Description / Teaching Plan) |
9 |
SIMULATION METHODS (Description / Teaching Plan) |
9 |
DYNAMICAL SYSTEMS (Description / Teaching Plan) |
9 |
Bridging subjects
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Subject
|
Credits |
COMMUTATIVE ALGEBRA (Description) |
7,5 |
NUMERICAL ANALYSIS (Description) |
7,5 |
ORDINARY DIFFERENTIAL EQUATIONS (Description) |
7,5 |
PARTIAL DIFFERENTIAL EQUATIONS (Description) |
7,5 |
HILBERT SPACES AND FOURIER ANALYSIS (Description) |
7,5 |
STATISTICS AND MODELLING (Description) |
7,5 |
ANALYTIC FUNCTIONS (Description) |
7,5 |
DIFFERENTIAL GEOMETRY (Description) |
7,5 |
INTRODUCTION TO ALGEBRAIC GEOMETRY (Description) |
7,5 |
MEASURE AND PROBABILITY (Description) |
7,5 |
STOCHASTIC PROCESSES (Description) |
7,5 |
NUMBER THEORY (Description) |
7,5 |
ALGEBRAIC TOPOLOGY (Description) |
7,5 |
Each ECTS credit represents 25 hours of learning.
All units are taught for 4 hours a week.
Course units worth 9 credits are taught exclusively as part of the Master's program.
Course units worth 7.5 credits correspond to mandatory and optional subjects from the current mathematics degree syllabus. The course units will be taught in accordance with the degree program.
Table of equivalence between
course units worth 7.5 credits in the Master's
program and course units in the degree of Mathematics
Final assignment (15 credits)
Students specializing in research and advanced academic training must complete an end-of-program research project. Students choosing the professional pathway must complete an end-of-program placement report based on an in-company placement carried out at a firm or institution. Both will be worth 15 credits.
- The teachers leading the research and advanced academic training pathway will suggest topics for students' research projects and will then supervise project work. The Coordination Committee will assign projects according to student preferences and the reports of academic advisors. A final paper and an oral presentation will be required, and a grade will then be awarded.
- In the professional pathway, students will complete a placement in cooperation with a company or institution. A work plan must be approved by the student's academic advisor and the supervisor at the company or institution involved. A final report on the placement must be written, including an assessment from the in-company supervisor. An oral presentation will also be required.
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