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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)
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:

  1. Proving basic results on relations and functions as well as basic results in set theory and number theory. 
  2. Proving basic results in group theory.
  3. Showing an understanding of groups, subgroups, and group homomorphisms.
  4. Proficiency in symbolic logic.
  5. Using linear algebraic and group theoretic tools to model and analyze error-correcting codes.