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)
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:
- Understand the definitions and constructions from differential geometry.
- Translate physical concepts to differential geometric concepts.
- Use the methods of differential geometry.
- Model physical systems using methods of geometric mechanics.