DEPARTMENT OF MATHEMATICS  AND STATISTICS Faculty of Arts Faculty of Pure and Applied Science

# Algebra I

Introduction to the basic concepts of abstract algebra, with applications: groups (cyclic, symmetric, Lagrange's theorem, quotients, homomorphism theorems); rings (congruences, quotients, polynomials, integral domains, PID's and UFD's); fields (field extensions, constructions with ruler and compass, coding theory).
Algebra is the study of algebraic systems, that is, sets of elements endowed with certain operations. A familiar example is the set of integers with the operations of addition and multiplication.
Algebra is used in almost every branch of mathematics; indeed, it has simplified the study of mathematics by indicating connections between seemingly unrelated topics. In addition the success of the methods of algebra in unravelling the structure of complicated systems has led to its use in many fields outside of mathematics. One aim of this course is to help students learn to write clear and concise proofs, read the mathematical literature, and communicate mathematical ideas effectively, both orally and in writing.
Any student who performed well in the prerequisite linear algebra course is welcome to enrol, but THIS COURSE IS INTENDED PRIMARILY FOR STUDENTS WHO HAVE TAKEN THE HONOURS VERSIONS OF FIRST AND SECOND YEAR COURSES.
The text will be Fraleigh, (6th Ed.), Addison-Wesley Longman.
The final grade will be based on assignments, class participation, quizzes, class tests, and a final examination.

Prerequisite:AS/SC/MATH 2022 3.0 or AS/SC/AK/MATH 2222 3.0.
Exclusion:AK/MATH 3420 6.0

Coordinator: J.W. Pelletier.
Course Page

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