Checking date: 19/04/2022

Course: 2022/2023

Fundamentals of Algebra
Study: Bachelor in Applied Mathematics and Computing (362)


Department assigned to the subject: Mathematics Department

Type: Basic Core
ECTS Credits: 6.0 ECTS


Branch of knowledge: Engineering and Architecture

Requirements (Subjects that are assumed to be known)
Skills and learning outcomes
Description of contents: programme
1. Logic and mathematical proofs 2. Elementary set theory and functions 3. Integer numbers and modular arithmetic 4. Groups
Learning activities and methodology
LEARNING ACTIVITIES AND METHODOLOGY THEORETICAL-PRACTICAL CLASSES. [44 hours with 100% classroom instruction, 1.76 ECTS] Knowledge and concepts students must acquire. Students receive course notes and will have basic reference texts to facilitate following the classes and carrying out follow-up work. Students partake in exercises to resolve practical problems and participate in workshops and evaluation tests, all geared towards acquiring the necessary capabilities. TUTORING SESSIONS. [4 hours of tutoring with 100% on-site attendance, 0.16 ECTS] Individualized attendance (individual tutoring) or in-group (group tutoring) for students with a teacher. STUDENT INDIVIDUAL WORK OR GROUP WORK [98 hours with 0 % on-site, 3.92 ECTS] FINAL EXAM. [4 hours with 100% on-site, 0.16 ECTS] Global assessment of knowledge, skills, and capacities acquired throughout the course. METHODOLOGIES THEORY CLASS. Classroom presentations by the teacher with IT and audiovisual support in which the subject`s main concepts are developed while providing material and bibliography to complement student learning. PRACTICAL CLASS. Resolution of practical cases and problems, posed by the teacher, and carried out individually or in a group. TUTORING SESSIONS. Individualized attendance (individual tutoring sessions) or in-group (group tutoring sessions) for students with a teacher as a tutor.
Assessment System
  • % end-of-term-examination 60
  • % of continuous assessment (assigments, laboratory, practicals...) 40
Calendar of Continuous assessment
Basic Bibliography
  • Joseph A. Gallian. Contemporary Abstract Algebra. Chapman and Hall/CRC (10ed). 2020
  • Kenneth H Rosen. Discrete Mathematics and Its Applications. McGraw-Hill Education. 2011 (7ed)
  • Martin Liebeck. A concise Introduction to Pure Mathematics. CRC Press. 2016 (4ed)
  • Thomas W. Judson. Abstract Algebra: theory and applications. orthogonal publishing. 2019
Recursos electrónicosElectronic Resources *
Additional Bibliography
  • Bruce N. Cooperstein. An Introduction to Groups, Rings, and Fields. Worldwide Center of Mathematics. 2012
  • Fernando Q. Gouvêa. A Guide to Groups, Rings, and Fields. Mathematical Association of America. 2012
  • Susanna S. Epp. Discrete Mathematics with Applications. Cenage Learning. 2011
(*) Access to some electronic resources may be restricted to members of the university community and require validation through Campus Global. If you try to connect from outside of the University you will need to set up a VPN

The course syllabus may change due academic events or other reasons.