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MTHE 439  Lagrangian Mechcanics, Dynamics Control  Units: 3.50  
Geometric modelling, including configuration space, tangent bundle, kinetic energy, inertia, and force. Euler-Lagrange equations using affine connections. The last part of the course develops one of the following three applications: mechanical systems with nonholonomic constraints; control theory for mechanical systems; equilibria and stability.
NOT OFFERED 2024-2025
(Lec: 3, Lab: 0, Tut: 0.5)
Requirements: Prerequisites: MTHE 280 (MATH 280), MTHE 281 (MATH 281), MTHE 237 (MATH 237) or MATH 231, or permission of the instructor Corequisites: Exclusions:   
Offering Term: W  
CEAB Units:    
Mathematics 20  
Natural Sciences 0  
Complementary Studies 0  
Engineering Science 11  
Engineering Design 11  
Offering Faculty: Faculty of Arts and Science  

Course Learning Outcomes:

  1. Understand the definitions and constructions from differential geometry.
  2. Translate physical concepts to differential geometric concepts.
  3. Use the methods of differential geometry.
  4. Model physical systems using methods of geometric mechanics.