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A course mapper by Monash Association of Coding (MAC)

MTH21416cpHandbook

Algebra 1: Group theory

Level 2S1

Equivalent units

MTH3141

Take any one of these to satisfy this prereq.

About

Groups in geometry, linear algebra, and number theory; cyclic and abelian groups; permutation groups; subgroups, cosets and normal subgroups and quotient groups; homomorphisms, isomorphisms and isomorphism theorem; group actions; Sylow theorems, group presentations.

Offered in 2026

Semester 1Clayton· ON-CAMPUSClayton· ON-CAMPUS

Prohibitions

all of

MTH3141Algebra 1: Group theory

MTH2121Algebra and number theory

Prerequisites

any of

MTH1035Techniques for modelling (advanced)

MTH1030Techniques for modelling

ENG1005Engineering mathematics

MAT1830Discrete mathematics for computer science

Enrolment rules

PREREQUISITE: You must have passed one unit from MTH2021 or MTH2025 or MTH2137, or be enrolled in the Master of Mathematics.
PROHIBITION: MTH2141 , MTH3121, MTH2121

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Algebra 1: Group theory

MTH2141

Synopsis

Sourced from the Monash Handbook 2026.

Quick facts

Credit points: 6
Level: 2
Audience: Undergraduate
Type: Coursework
School: Faculty of Science
Faculty: School of Mathematics
Handbook year: 2026

Prerequisites (4)

Engineering mathematicsENG1005
Discrete mathematics for computer scienceMAT1830
Techniques for modellingMTH1030
Techniques for modelling (Advanced)MTH1035

What it unlocks (8)

Theory of computationFIT2014
Number theory and cryptographyMTH2137
Differential geometry (Advanced)MTH3115
Topology: The mathematics of shapeMTH3130
Number theory and cryptography (Advanced)MTH3137
Algebra 2: Rings and fieldsMTH3150
Network mathematicsMTH3170
Computational group theoryMTH4141

Offerings (1)

First semesterClayton · ON-CAMPUS

Listed in 7 areas of study

Applied mathematicsAdditional elective unit
MathematicsMathematics elective unit
MathematicsMathematics elective units
MathematicsMathematics elective units
Pure mathematicsAlgebra and number theory
Pure mathematicsAlgebra and number theory
Mathematical statisticsAdditional elective units