3.12 - Infinite slot
3.13 - Charge density on infinite slot
3.15 - Cubic box
3.16 - Derive P₃(x) and check it.
HW6.1 - Use Legendre's equation to prove the orthogonality relation, Eq. 3.68 in Griffiths.
HW6.2 - Derive the Taylor expansion in s for the function g(u,s) = (1-2us+s²)^-1/2 through order s³. Show that the coefficients are the first four Legendre polynomials. [g(u,s) is known as the generating function of the Legendre polynomials.]

Bonus questions

B6.1 - 3.47, Infinite rectangular pipe with potential on one side
B6.2 - 3.48, Show that g(u,s) defined above is indeed the generating function of the Legendre polynomials

Examples class week 7

3.14 - Rectangular pipe
3.17 - Potential around a spherical shell with uniform potential or charge density.