Week 1 (September 14—18)
 Introduction: PDE Motivations and Context (Chapter 1)
 Introduction: PDE Motivations and Context (continued; Chapter 1)
 First order PDEs (Section 2.1)
Week 2 (September 21—25)
 First order PDEs (Section 2.1 (end))
 Homogeneous 1D Wave equation (Section 2.3)
 1D Wave equation reloaded: characteristic coordinates and more
(Section 2.4 and Section 2.5)
Week 3 (Sept. 28—Oct. 2)
 1D Wave equation: IBVP (Section 2.6)
 1D Wave equation: survey
 Wave equation: Energy integral (Section 2.7)
Week 4 (October 5—9)
 1D Heat equation: method of selfsimilar solutions (Section 3.1)
 Heat equation (Misc.) (Section 3.2)
 Heat equation (Misc.)  end
Week 5 (October 12—16)
 1D wave equation Separation of variables (the first blood)
(Section 4.1)
 Eigenvalue problems (examples) (Section 4.2)
 Ortogonal systems (Section 4.3)
Week 6 (October 19—23)
 Ortogonal systems (Section 4.3 (end))
 Ortogonal systems and Fourier series
(Section 4.4)
 Other Fourier series
(Section 4.5)


Week 7 (October 26—30)
 Fourier transform, Fourier integral
(Section 5.1)
 Properties of Fourier transform
(Section 5.2)
 Applications of Fourier transform to PDEs
(Section 5.3)
Week 8 (November 2—6)
 Separation of variables for heat equation
(Section 6.1)
Separation of variables: Misc equations (Section 6.2)
 Laplacian in polar and spherical coordinates
(Section 6.3)
Laplacian: separation of variables in polar coordinates
(Section 6.4)
 Laplace operator in the disk. II
(Section 6.5)
Week 9 (November 9—13)
 General properties of Laplace equation
(Section 7.1)
 Potential theory and around
(Section 7.2)
Green function
(Section 7.3)
 Separation of variable in spherical coordinates
(Section 8.1)
The rest of Chapter 8 skipped.
Week 10 (November 16—20)
 Wave equation in 3D and 2D
(Section 9.1)
 Wave equation in 3D and 2D (end)
 Wave equation: energy method
(Section 9.2)
 Home Assignment 10
Problems to Chapter 10 (all)
 Term Test 2. Covers Chapters 47.
Solving HA 6—9 is a good preparation
Week 11 (November 23—27)
 Functionals, extremums and variations
(Section 10.1)
 Functionals, extremums and variations .II
(Section 10.2)
 Variational methods in physics
(Section 10.3)
Week 12 (Nov. 30—Dec. 04)
 Distributions
(Section 11.1)
 Distributions: more
(Section 11.2)
 Applications of distributions
(Section 11.3)
Weak solutions
(Section 11.4)
