MATH315
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Algebra I
Mathematics and Statistics
SC - Faculty of Science
Subject
MATH - Mathematics
Description
A broad overview of the elementary theory of groups, rings and fields. Group theory: cyclic, symmetric, alternating, dihedral and classical matrix groups, cosets and Lagrange's theorem, group homomorphisms, normal subgroups, quotient groups and the isomorphism theorem. Rings and fields: the integers modulo n, polynomial rings, ring homomorphisms, ideals, quotient rings the isomorphism theorem, unique factorization domains, principal ideal domains, Euclidean domains and the construction of finite fields.
Prerequisite(s): Mathematics 271 or 273; and Mathematics 311.
Antirequisite(s): Credit for Mathematics 315 and Pure Mathematics 317 will not be allowed.
Also known as: (formerly Pure Mathematics 315)
Prerequisite(s): Mathematics 271 or 273; and Mathematics 311.
Antirequisite(s): Credit for Mathematics 315 and Pure Mathematics 317 will not be allowed.
Also known as: (formerly Pure Mathematics 315)
Course Attributes
Fee Rate Group(Domestic) - A, Fee Rate Group(International) -A, GFC Hours (3-1T)
Courses may consist of a Lecture, Lab, Tutorial, and/or Seminar. Students will be required to register in each component that is required for the course as indicated in the schedule of classes. Practicums, internships or other experiential learning modalities are typically indicated as a Lab component.
Component
LEC
Component
TUT
Units
3
Repeat for Credit
No
Subject code
MATH
Understanding Course Information
Please refer to Course Terminology and Description to better understand how to interpret course information such as GFC hours, prerequisites, course levels, etc.
Note that not all courses are offered every term or every year. Please refer to the Schedule of Classes or Schedule Builder to see active class offerings.