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MATH 225  Ordinary Differential Equations  Units: 3.00  
An introduction to solving ordinary differential equations. Topics include developing and analyzing mathematical models describing physical and natural dynamical phenomena and those arising in various engineering system applications including spring-mass systems and circuits, first order differential equations, linear differential equations with constant coefficients, Laplace transforms, systems of linear equations.
NOTE Some knowledge of linear algebra is assumed.
Learning Hours: 120 (36 Lecture, 12 Tutorial, 72 Private Study)  
Requirements: Prerequisite MATH 120/6.0 or MATH 121/6.0 or MATH 124/3.0 or MATH 126/6.0 or (MATH 127/3.0 and MATH 128/3.0). Exclusion MATH 231/3.0.  
Offering Faculty: Faculty of Arts and Science  

Course Learning Outcomes:

  1. Model a mass-spring-damper system or RLC circuit using differential equations.
  2. Model interconnected fluid reservoirs using differential equations.
  3. Solve basic initial value problems.
  4. Solve linear constant coefficient differential equations.
  5. Use the Laplace transform to solve differential equations.