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MTHE 217 Algebraic Structures with Applications Units: 3.50
Introduction to algebraic systems and structures, and their engineering applications. Topics include symbolic logic; switching and logic circuits; set theory, equivalence relations and mappings; the integers and modular arithmetic; groups, cyclic groups, Lagrange's theorem, group quotients, group homomorphisms and isomorphisms; applications to error-control codes for noisy communication channels.
(Lec: 3, Lab: 0, Tut: 0.5)
(Lec: 3, Lab: 0, Tut: 0.5)
Requirements: Prerequisites: APSC 174
Corequisites:
Exclusions:
Offering Term: F
CEAB Units:
Mathematics 18
Natural Sciences 0
Complementary Studies 0
Engineering Science 16
Engineering Design 8
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Proving basic results on relations and functions as well as basic results in set theory and number theory.
- Proving basic results in group theory.
- Showing an understanding of groups, subgroups, and group homomorphisms.
- Proficiency in symbolic logic.
- Using linear algebraic and group theoretic tools to model and analyze error-correcting codes.