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Appendices
Appendices are not required reading but you may find them helpful.
- Exploded (Incomplete) View of APM346
- Appendix A to Week 1--Analyzing the traffic flow
- Appendix B--Linear second order ODEs
- Appendix C--Fully nonlinear first order PDEs
- Appendix D--Maxwell equations
- Appendix E--Hyperbolic first order systems with one spatial variable
- Appendix F--Conservation laws
- Appendix G--Some classes of PDEs
- Appendix H--To Lecture 11 (analyzing some examples; variational principles)
- Appendix I--To Lecture 11 (analyzing some examples)
- Appendix J--Multidimensional Fourier series
- Appendix K--Quatum harmonic oscillator; Hermite functions, Hermite polynomials
- Appendix L--Spectrum: definitions
- Appendix M--Spectrum: examples
- Appendix N--Spectrum: explanations
- Appendix O--To Lecture 15: Fourier transform: kind of justification
- Appendix P--Weak solutions
- Appendix Y--Green, Gauss, Stokes formulae
- Appendix Z--Properties of ∇
Projects
(offered for reading course only)
- Intro into project: Random Walks
Previous years home assignments
- 2012F Home Assignment 1 (solutions are discussed on Forum#6.0)
- 2011F Home Assignment 2 (solutions are discussed on Forum 2011#8.0),
2011F Home Assignment 3 (solutions are discussed on Forum 2011#9.0)
and
2012F Home Assignment 2 (solutions are discussed on Forum#9.0)
- 2011F Home Assignment 5 (solutions are discussed on Forum 2011#10.0)
and
2012F Home Assignment 4 (solutions are discussed on Forum#10.0)
- 2011F Home Assignment 4 (solutions are discussed on Forum 2011#15.0)
and
2012F Home Assignment 3 (solutions are discussed on Forum#11.0)
Previous years tests and exams
(with solutions and discussions)
Extra Reading
Not required but you may find useful:
- Walter A. Strauss, Partial Differential Equations, Textbook and Student Solutions Manual: An Introduction; 2 edition Wiley (2007)
- Richard Haberman, Applied Partial Differential Equations with Fourier Series and Boundary Value Problems; Pearson; 5 edition (2012)
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