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ENPH 321  Advanced Mechanics  Units: 3.50  
An introduction to the equations of mechanics using the Lagrange formalism and to the calculus of variations leading to Hamilton's principle. The concepts developed in this course are applied to problems ranging from purely theoretical constructs to practical applications. Links to quantum mechanics and extensions to continuous systems are developed.
(Lec: 3, Lab: 0, Tut: 0.5)
Requirements: Prerequisites: ENPH 211 (PHYS 211), MTHE 226 (MATH 226) or MTHE 237 (MATH 237) or MTHE 225, MTHE 227 (MATH 227) Corequisites: Exclusions:   
Offering Term: F  
CEAB Units:    
Mathematics 11  
Natural Sciences 20  
Complementary Studies 0  
Engineering Science 11  
Engineering Design 0  
Offering Faculty: Faculty of Arts and Science  

Course Learning Outcomes:

  1. Have a conceptual understanding of the role of Lagrangian and Hamiltonian mechanics.
  2. Apply advanced Lagrangian and Hamiltonian methods to real world problems.
  3. Understand the role of symmetries in mechanical systems.
  4. Understand and apply variational methods to solve problems in a variety of contexts.
  5. Develop an understanding of Poisson brackets and the construction of phase space constants.
  6. Understand the technique of separation of variables.
  7. Understand some of the global features of Lagrangian systems.
  8. Understand some of the global features of Hamiltonian systems.