MTH4104 – Introduction to Algebra

This page is intended for students enrolled on the MTH4104 – Introduction to Algebra course in QMUL. My questions are a little harder than the tutorial questions, but provide additional practice for the topic. Attempt these only when you feel comfortable with the main material.

Complex Numbers and Polynomials

Relations

Equivalence Classes and Partitions

Divisibility and Euclid’s Algorithm

Elementary Rings and Fields

Elementary Group Theory

 

*Corrections*

-For Equivalence Classes and Partitions, in question 5b, the rules are not the same. We add the condition that there are infinitely many colours for the hats.

– Question 11, Divisibility and Euclid’s Algorithm, add that \(m\) are natural numbers.