MST20010 Algebraic Structures

Academic Year 2021/2022

This course is intended as a first introduction to abstract algebra. Students will be introduced to fundamental algebraic structures that are useful to describe symmetries, such as groups. Properties of such structures will be derived from the relevant axioms. Well-known algebraic systems such as permutation groups and cyclic groups will be studied in detail. A particular focus will be performing computation in such structures, giving a concrete introduction to the material.

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Curricular information is subject to change

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 stuctures mentioned above, including composition of permutations. 4. an ability to infer basic results using formal proofs for subgroup criteria, homomorphisms, isomorphisms, cosets and, time permitting, normal subgroups and quotient groups.

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 Open Book Exam Component Scale Must Pass Component % of Final Grade
Examination: Midterm exam. Quite possibly online.
The timing of the midterm can be slightly changed in order to accommodate as many people as possible.
Week 7 No Standard conversion grade scale 40% No

30

Examination: End of trimester exam. 2 hour End of Trimester Exam No Standard conversion grade scale 40% No

70


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
Róisín Neururer 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
Lecture Offering 1 Week(s) - Autumn: All Weeks Wed 12:00 - 12:50
Tutorial Offering 1 Week(s) - Autumn: Weeks 2-12 Tues 11:00 - 11:50
Tutorial Offering 2 Week(s) - Autumn: Weeks 2-12 Fri 13:00 - 13:50
Autumn