Algebra (MA183)
Welcome to this information page for First Year Honours
Algebra. The primary electronic resource for this course is
here
on the NUI, Galway Blackboard
server. This webpage is a temporary resource for those students who
are as yet unable to access the Blackboard server. Once everybody has
access to Blackboard, I will not continue to maintain this page.
Contents
Lecturer
Lecture and Tutorial Schedule
Syllabus
Outline Lecture Notes
Dr Rachel Quinlan
Office : Room 105, Ground Floor, Áras de Brún
Phone : (49)3796
email : rachel.quinlan@nuigalway.ie
Lectures in MA183 will take place at 10.00 on Tuesdays and at 10.00 on
Wednesdays, all in the Kirwan Lecture Theatre.
In addition every student in MA180 (First Year Honours Mathematics)
will attend one workshop per week, starting in the week of
September 24. The timetable and class
lists for the workshops are available
here.
Chapter 1 Matrices and Linear Transformations
- Linear Structure of Euclidean Space
- Linear Transformations
- Matrices as Linear Transformations
- Matrix Algebra
- The Cross Product
Chapter 2 Introduction to Number Theory - the Integers
- Mathematical Induction
- The Well-Ordering Axiom
- Greatest Common Divisors and the Euclidean Algorithm
- Prime and Composite Integers
I hope that the lecture notes, which will be posted on the Blackboard site as
the course proceeds, will be sufficient as a "text" for this course.
For supplementary reading I suggest the following books, which are
available in the library.
- Biggs, Discrete Mathematics, 510 BIG
- Smith, Introductory Mathematics - Algebra and Analysis, 510 SMI