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MST20010

Academic Year 2026/2027

Algebraic Structures (MST20010)

Subject:
Mathematical Studies
College:
Science
School:
Mathematics & Statistics
Level:
2 (Intermediate)
Credits:
5
Module Coordinator:
Dr Vincent Astier
Trimester:
Autumn
Mode of Delivery:
Blended
Internship Module:
No
How will I be graded?
Letter grades

Curricular information is subject to change.

This course is intended as a first introduction to abstract algebra. Students will be introduced to group as an first example of fundamental algebraic structures. Properties of groups will be derived from the relevant axioms. Well-known algebraic systems such as permutation groups and cyclic groups will be studied in detail. The topics covered will include: basic properties of groups, permutation groups, symmetry groups, subgroups, cyclic groups, equivalence relations, cosets, Lagrange Theorem.

About this Module

Learning Outcomes:

Specific learning outcomes include:1. a knowledge of fundamental algebraic structures such as groups, permutation groups. 2. a familiarity with well-known examples, such as permutation groups, cyclic groups, matrix groups. 3. prowess at performing computations in the algebraic structures mentioned above. 4. an ability to infer basic results using proofs.

The United Nations identified seventeen Sustainable Development Goals (SDGs) as core to the 2030 Agenda for Sustainable Development, and UCD contributes in general to SDG 4 Quality Education. Further SDGs explored within this module if relevant are listed below. A scale of 1 - 5 indicates the extent to which the SDG is covered.


 

Student Effort Hours:
Student Effort Type Hours
Lectures

18

Tutorial

10

Autonomous Student Learning

90

Total

118


Approaches to Teaching and Learning:
Lectures, tutorials, enquiry and problem-based learning.

Requirements, Exclusions and Recommendations

Not applicable to this module.


Module Requisites and Incompatibles
Pre-requisite:
MATH10290 - Linear Algebra for Science, MATH10310 - Calculus for Science, MATH10340 - Linear Algebra 1 (MPS), MATH10350 - Calculus (MPS), MST10010 - Calculus I, MST10030 - Linear Algebra I

Incompatibles:
MATH20160 - Polynomial Rings/Group Theory, MATH20310 - Groups, Rings and Fields

Additional Information:
Pre-requisite: MST10030 or MATH10290 or MATH10340 AND MST10010 or MATH10310 or MATH10350.


 

Assessment Strategy
Description Timing Component Scale Must Pass Component % of Final Grade Component repeat (in-module) Offered
Quizzes/Short Exercises: 5 short in-tutorial questions (you work in small groups but write your own answer), every other week, starting on week 3. Each brings 1%, for a possible total of 5%. Week 3, Week 5, Week 7, Week 9, Week 11 Other No
5
No
Exam (In-person): One in-person midterm (probably on week 8 (but could be moved by 1 week). Week 8 Standard conversion grade scale 40% No
25
No
Exam (In-person): End of trimester exam End of trimester
Duration:
2 hr(s)
Standard conversion grade scale 40% No
70
No

As part of UCD's student support, under the Additional Consideration policy, extensions may be available for the following assessments in the module: Assignment (including essay/poster), Portfolio, Reflective Assignment, Report(s), and Individual Project.


Carry forward of passed components
No
 

Resit In Terminal Exam
Spring Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 

Feedback Strategy/Strategies

• Group/class feedback, post-assessment

How will my Feedback be Delivered?

Not yet recorded.

Name Role
Mr Cesar Scrochi Lecturer / Co-Lecturer
Arani Paul Tutor

Timetabling information is displayed only for guidance purposes, relates to the current Academic Year only and is subject to change.
Autumn Lecture Offering 1 Week(s) - Autumn: All Weeks Mon 11:00 - 11:50
Autumn Lecture Offering 1 Week(s) - Autumn: All Weeks Wed 12:00 - 12:50
Autumn Tutorial Offering 1 Week(s) - Autumn: Weeks 2-12 Tues 11:00 - 11:50
Autumn Tutorial Offering 2 Week(s) - Autumn: Weeks 2-12 Fri 13:00 - 13:50