Back to Teaching
University course Currently taught

Algebra and Discrete Mathematics

Foundations of discrete mathematics and algebra for computer engineering.

Degree programme
Bachelor's degree in Computer Engineering
Teaching role
Lecturer
Languages
English · Spanish
Location
Escuela Superior de Informática, Ciudad Real
Course code
42305
Degree year
1
Semester
Second semester
ECTS
6
Academic years taught
2020/21Current
Official course guide
Algebra and Discrete Mathematics
Course content

Course syllabus

Select a topic to explore its contents.

Sets, relations, and functions
  • Basic concepts and propositional logic
  • Sets
  • Cartesian products
  • Set operations
  • Relations on a set
  • Mathematical induction
  • Functions
Combinatorics
  • Cardinality of sets
  • Basic counting principles
  • Permutations
  • Combinations
Arithmetic
  • Divisibility
  • Euclidean algorithm
  • Modular arithmetic
  • Diophantine equations
Graph theory
  • Basic graph theory concepts
  • Connectivity
  • Eulerian and Hamiltonian paths
  • Trees
  • Optimization problems on graphs
Introduction to linear algebra