Department of Mathematics
University of Toronto
APM346 Partial Differential Equations
General:
Course outlines
Forum
About MathJax
About home assignments
Sections comparison
Lecture notes:
Current version:
http://www.math.toronto.edu/courses/apm346h1/20159/PDE-textbook
PDE: Motivations and Context
First order differential equations
1D wave equation
Extras.
For the 1-st week look at
2011F home assignment 1
(solutions are discussed on
Forum 2011#6.0
)
Home Assignment 1
,
PDF file
--due Mon September 24
1D Wave equation reloaded: characteristc coordinates
1D Wave equation reloaded (continued)
1D Wave equation reloaded: discussion and examples
Extras.
For the 2-nd week look at
2011F home assignment 2
(solutions are discussed on
Forum 2011#8.0
)
Home Assignment 2
,
PDF file
--due Mon October 1
1D Wave equation: IVBP
1D Wave equation: Misc
1D Diffusion Equation: Introduction
--Slide presentation, press "Space" or "->" for the next slide and "<-" for the previous one.
1D Heat equation: method of self-similar solutions
Extras.
For the 3-nd week look at
2011F home assignment 3
(solutions are discussed on
Forum 2011#9.0
)
Home Assignment 3
,
PDF file
--due Wed October 10
1D Heat equation: Misc
1D Heat equation: Misc. II
Separation of Variables: Introduction
--Slide presentation
Separation of variables: 1D wave equation
Extras.
For the 4-th week look at
2011F home assignment 4
(solutions are discussed on
Forum 2011#10.0
)
Last year
TT1
discussed on
Forum 2011#11.0
Home Assignment X
,
PDF file
--Not graded, recommended as a preparation to Term Test 1
Eigenvalue problems (examples)
Ortogonal systems
Fourier Series: Overview Slide Presentation
Ortogonal systems and Fourier series
Extras.
For the 5-th week look at
2011F home assignment 5
(solutions are discussed on
Forum 2011#15.0
)
Home Assignment 4
,
PDF file
--due Wed October 24
Other Fourier series
Fourier transform, Fourier integral
Properties of Fourier transform
Extras.
For the 6-th week look at
2011F home assignment 7
(solutions are discussed on
Forum 2011#17.0
) and
2011F home assignment 8
(solutions are discussed on
Forum 2011#18.0
)
Home Assignment 5
,
PDF file
, due Wed October 31
Applications of Fourier transform to PDEs
Separation of variables: heat equation
Separation of variables: Misc equations
Last year
TT2
discussed on
Forum 2011#12.0
--this year scope will be slightly different (Fourier transform included)
Home Assignment 6
,
PDF file
, due Wed November 7
Laplacian in polar and spherical coordinates
Laplacian: separation of variables in polar coordinates
Laplacian: separation of variables in polar coordinates. II
Home Assignment 7
,
PDF file
, due Mon November 19
Home Assignment Y
,
PDF file
--Not graded, recommended as a preparation to Term Test 2
General properties of Laplace equation
Potential theory and around
Green function
Home Assignment 8
,
PDF file
, due Wed November 28
Wave equation--solution
Wave equation: energy method
Separation of variables in spherical coordinates
Home Assignment 9
,
PDF file
, due Wed December 5
Appendices
Some classes of PDEs
Appendix B
to
Lecture 13
--counting the number of negative eigenvalues by applying variational principles
Appendix C
to
Lecture 13
--direct counting the number of negative eigenvalues
Exploded (Incomplete) View of APM346
Last year
Final Exam
discussed on
Forum 2011#13.0