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MTHE 237 Differential Equations for Engineering Science Units: 3.50
Topics include developing and analyzing mathematical models describing physical and natural dynamical phenomena and those arising in various engineering system applications, classification of differential equations, methods for solving differential equations, Laplace Transform method, systems of differential equations and connections with Linear Algebra, stability of linear and nonlinear systems and Lyapunov's method.
(Lec: 3, Lab: 0, Tut: 0.5)
(Lec: 3, Lab: 0, Tut: 0.5)
Requirements: Prerequisites: APSC 171, APSC 172, APSC 174
Corequisites:
Exclusions: MATH 231, MTHE 232 (MATH 232)
Offering Term: F
CEAB Units:
Mathematics 16
Natural Sciences 11
Complementary Studies 0
Engineering Science 15
Engineering Design 0
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Compute the general or particular solutions to linear and nonlinear differential equations, and systems of differential equations.
- Understand the implications of the existence and uniqueness theorem and linear independence/dependence properties of solutions to differential equations.
- Develop mathematical models describing physical phenomena.
- Use the method of Laplace transform to solve problems involving discontinuous forcing terms.
- Determine stability of differential equations.