
Appendices
Appendices are not required reading but you may find them helpful.
 Exploded (Incomplete) View of APM346
 Appendix A to Week 1Analyzing the traffic flow
 Appendix BLinear second order ODEs
 Appendix CFully nonlinear first order PDEs
 Appendix DMaxwell equations
 Appendix EHyperbolic first order systems with one spatial variable
 Appendix FConservation laws
 Appendix GSome classes of PDEs
 Appendix HTo Lecture 11 (analyzing some examples; variational principles)
 Appendix ITo Lecture 11 (analyzing some examples)
 Appendix JMultidimensional Fourier series
 Appendix KQuatum harmonic oscillator; Hermite functions, Hermite polynomials
 Appendix LSpectrum: definitions
 Appendix MSpectrum: examples
 Appendix NSpectrum: explanations
 Appendix OTo Lecture 15: Fourier transform: kind of justification
 Appendix PWeak solutions
 Appendix YGreen, Gauss, Stokes formulae
 Appendix ZProperties 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)
