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Topics in Advanced Mathematics
Engineering & Social Sciences Program
Madrid, Spain
Dates: early Sep 2025 - mid Dec 2025
Topics in Advanced Mathematics
OVERVIEW
CEA CAPA Partner Institution: Universidad Carlos III de Madrid
Location: Madrid, Spain
Primary Subject Area: Mathematics
Instruction in: English
Course Code: 14115
Transcript Source: Partner Institution
Course Details: Level 300
Recommended Semester Credits: 3
Contact Hours: 42
DESCRIPTION
The course has two parts: (I) Matrix algebra and matrix diagonalization and (II) Differential and difference equations and systems.
(I) Matrix algebra and matrix diagonalization: After a brief review of the elementary operations with matrices, some fundamental concepts for obtaining the canonical form of a matrix are given.
(II) Differential and difference equations and systems: definition and illustration of these concepts with examples coming mainly from economics. The main tools of resolution are given, and special emphasis on the analysis of the qualitative behavior of the solutions is done. The techniques are applied to some classical economic models.
(I) Matrix algebra and matrix diagonalization: After a brief review of the elementary operations with matrices, some fundamental concepts for obtaining the canonical form of a matrix are given.
(II) Differential and difference equations and systems: definition and illustration of these concepts with examples coming mainly from economics. The main tools of resolution are given, and special emphasis on the analysis of the qualitative behavior of the solutions is done. The techniques are applied to some classical economic models.