Year 1 - Semester 1

• Writing and communication skills (3 ECTS)
• Linear Algebra (6 ECTS)
• Differential Calculus (6 ECTS)
• Fundamentals of Algebra (6 ECTS)
• Programming (6 ECTS)
• Skills: Humanities I (3 ECTS)

Year 1 - Semester 2

• Integral Calculus (6 ECTS)
• Vector Calculus (6 ECTS)
• Linear Geometry (6 ECTS)
• Discrete Mathematics (6 ECTS)
• Programming Techniques (6 ECTS)

Year 2 - Semester 1

• Numerical Methods (6 ECTS)
• Cryptography (6 ECTS)
• Computer Structure (6 ECTS)
• Integration and Measure (6 ECTS)
• Automata and formal languages theory (6 ECTS)

Year 2 - Semester 2

• Data structures and algorithms (6 ECTS)
• Artificial Intelligence (6 ECTS)
• Probability (6 ECTS)
• Operating Systems (6 ECTS)
• Complex Analysis (6 ECTS)

Year 3 - Semester 1

• Information Skills (1.5 ECTS)
• Advanced knowledge of Spreadsheets (1.5 ECTS)
• Computer Architecture (6 ECTS)
• Ordinary differential equations (6 ECTS)
• Statistics (6 ECTS)
• Heuristics and Optimization (6 ECTS)
• Skills: Humanities II (3 ECTS)

Year 3 - Semester 2

• Further topics in numerical methods (6 ECTS)
• Partial differential equations (6 ECTS)
• Files and Databases (6 ECTS)
• Language Processors (6 ECTS)
• Software verification techniques (6 ECTS)

Year 4 - Semester 1

• Applied functional analysis (6 ECTS)
• Stochastic Processes (6 ECTS)
• Functional Programming (6 ECTS)

Electives

• Professional Internships (12 ECTS)

Computing

• Data Integration and Visualization (6 ECTS)
• Concurrent and Parallel Programming (6 ECTS)

Maths

• Numerical Methods for Partial Differential Equations (6 ECTS)
• Modeling Techniques (6 ECTS)

Year 4 - Semester 2

• Simulation in Probability and Statistics (3 ECTS)
• Soft Skills (3 ECTS)

Bachelor Thesis (12 ECTS)

Electives

• Professional Internships (12 ECTS)

Computing

• Machine Learning (6 ECTS)
• Advanced Computation Theory (6 ECTS)

Maths

• Numerical Methods for Economy and Finance (6 ECTS)
• Linear and Stochastic Modeling (6 ECTS)

Mobility

Exchange programs

The Erasmus program permits uc3m first-degree and post-graduate students to spend one or several terms at one of the European universities with which uc3m has special agreements or take up an Erasmus Placement, a work placement or internship at an EU company. These exchanges are funded with Erasmus Grants which the EU and the Spanish Ministry of Education provide.

The non-European mobility program enables uc3m degree students to study one or several terms in one of the international universities with which the university has special agreements. It also has funding from the Banco Santander and the uc3m.

These places are offered in a public competition and are awarded to students with the best academic record and who have passed the language threshold (English, French, German, etc..) requested by the university of destination.