Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc

#### Keep Connect with Us

• = • Welcome in Math School.
• This is beta verion of our website.

### Partial Differential Equations by Victor Ivrii

MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Differential Equations eBooks . We hope mathematician or person who’s interested in mathematics like these books. Partial Differential Equations written by Victor Ivrii, Department of Mathematics, University of Toronto, Ontario, Canada.

Partial Differential Equations written by Victor Ivrii cover the following topics.

• Introduction
PDE Motivations and Context, Initial and Boundary Value Problems, Classification of equations, Origin of some equations, Problems

• 1-dimensional waves
First order PDEs, Appendix, First order PDEs (continued), Homogeneous 1D Wave equation, 1D Wave equation reloaded: characteristic coordinates, Wave equation reloaded (continued), 1D Wave equation: IBVP, Energy integral, Hyperbolic first order systems with one spatial variable

• Heat equation in 1D
1D Heat equation, Heat equation (Miscellaneous), Project: Walk Problem

• Separation of variables and Fourier Series
Separation of variables (the first blood), Eigenvalue problem, Orthogonal systems, Ortogonal systems and Fourier series, Other Fourier series, Calculation of negative eigenvalues in Robin problem, Multidimensional Fourier series, Harmonic Oscillator

• Fourier transform
Fourier transform, Fourier integral, Appendices, Properties of Fourier transform, Appendix, Applications of Fourier transform to PDEs

• Separation of variables
Separation of variables for heat equation, Separation of variables: Misc equations, Laplace operator in different coordinates, Laplace operator in the disk: separation of variables, Laplace operator in the disk. II, Linear second order ODEs, Problems

• Laplace equation
General properties of Laplace equation, Potential theory and around, Green function

• Separation of variables
Separation of variable in spherical coordinates, Separation of variable in polar and cylindrical coordinates, Separation of variable in elliptic and parabolic coordinates

• Wave equation
Wave equation in dimensions 3 and 2, Wave equation: energy method

• Variational methods
Functionals, extremums and variations, Functionals, extremums and variations, Variational methods in physics

• Distributions and weak solutions
Distributions, Distributions: more, Applications of distributions, Weak solutions

• Nonlinear equations
Burgers equation

• Eigenvalues and eigenfunctions
Variational theory, Asymptotic distribution of eigenvalues, Properties of eigenfunctions, About spectrum, Continuous spectrum and scattering

• Miscellaneous
Conservation laws, Maxwell equations, Some quantum mechanical operators

• Appendices
Field theory, Some notations

• ##### Math Books of Differential Equations

Differential Equations I MATB44H3F
• Free
• English
• PDF 81
• Page 174

• Problem Solving by George Polya
• Free
• English
• PDF
• Page 433
• -->
##### SHORTCUT TRICKS (Division)
• Divisible by 2 Shortcut trick
• Divisible by 3 Shortcut trick
• Divisible by 4 Shortcut trick
• Divisible by 5 Shortcut trick
• Divisible by 6 Shortcut trick • Divisible by 7 Shortcut trick • Divisible by 8 Shortcut trick • Divisible by 9 Shortcut trick
• Divisible by 10 Shortcut trick

##### Worksheets (Solved)

###### Integration     