M34E - Advanced Algebra I - Theory

This course uses the following course codes:

Number of credits: 4

This course has the following prerequisites:

This course has no corequisites.

The assessment for the course is as follows:

This course has coursework assessment.

In course assignments weight: 15%

Final exam: 85%

Group Theory
Fundamentals Cyclic groups Cosets Homomorphism Theorems The Sylow Theorems Theory of p-groups Direct products of groups Solvable groups

Ring theory
Ideals Quotient rings Polynomial rings Euclidean Domains Unique factorization domains irreducible criteria

Field theory
Characteristics of fields Fields of Quotients Sub-fields and Field extension Splitting fields Elements of Galois Theory