Mathematical Modeling of Physical Systems

Homework Problems

1. Modeling linear electrical circuits; sorting algorithm; conversion to linear state-space form; simulation in Matlab
   Discussion: Thursday, September 20, 2012
   Due date: Thursday, September 27, 2012

2. Modeling linear 1D translational system; sorting algorithm; conversion to linear state-space form; simulation in Matlab; Bode diagram
   Discussion: Thursday, September 27, 2012
   Due date: Thursday, October 4, 2012

3. Pantelides algorithm, Tarjan algorithm, tearing algorithm
   Discussion: Thursday, October 4, 2012
   Due date: Thursday, October 11, 2012

4. Tearing algorithm, relaxation algorithm
   Discussion: Thursday, October 11, 2012
   Due date: Thursday, October 18, 2012

5. Modeling with bond graphs
   Discussion: Thursday, October 18, 2012
   Due date: Thursday, October 25, 2012

6. Thermal modeling with bond graphs
   Discussion: Thursday, October 25, 2012
   Due date: Thursday, November 1, 2012

7. Modeling discontinuous systems with bond graphs; use of tabular functions
   Discussion: Thursday, November 1, 2012
   Due date: Thursday, November 8, 2012

8. Modeling mechanical systems using bond graphs
   Discussion: Thursday, November 8, 2012
   Due date: Thursday, November 15, 2012

9. Wrapped 1D hydraulic bond graph models
   Discussion: Thursday, November 15, 2012
   Due date: Thursday, November 22, 2012

10. Wrapped and direct multi-bond graph planar mechanical models
    Discussion: Thursday, November 22, 2012
    Due date: Thursday, November 29, 2012

11. 3D Multi-body systems modeling using wrapped multi-bond graphs
    Discussion: Thursday, November 29, 2012
    Due date: Thursday, December 6, 2012

12. Chemical reactions and matrix manipulations
    Discussion: Thursday, December 6, 2012
    Due date: Thursday, December 13, 2012

13. Population dynamics
    Discussion: Thursday, December 13, 2012
    Due date: Thursday, December 20, 2012

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