What’s your background?
Dates tentative!!!
Physics Topics (math) series functional asymptotics partial derivatives maxima/minima problems multiple integration vector fields grad div curl, Stoke’s thm line integrals curvilinear coords. gauge transforms matrices small oscill./normal modes complex numbers & functions residues, Cauchy thm vector spaces inner products, lin. ops. function spaces Fourier series & transforms ord. diff. eqs. partial “” Legendre polynomials Bessel functions spherical harmonics approximation methods
Physics Topics (math) series functional asymptotics partial derivatives maxima/minima problems multiple integration vector fields grad div curl, Stoke’s thm line integrals curvilinear coords. gauge transforms matrices small oscill./normal modes complex numbers & functions residues, Cauchy thm vector spaces inner products, lin. ops. function spaces Fourier series & transforms ord. diff. eqs. partial “” Legendre polynomials Bessel functions spherical harmonics approximation methods Whew!
Physics Topics (math) series functional asymptotics partial derivatives maxima/minima problems multiple integration vector fields grad div curl, Stoke’s thm line integrals curvilinear coords. gauge transforms matrices small oscill./normal modes complex numbers & functions residues, Cauchy thm vector spaces inner products, lin. ops. function spaces Fourier series & transforms ord. diff. eqs. partial “” Legendre polynomials Bessel functions spherical harmonics approximation methods We’ll discuss connections with E&M, statistical mech., thermodynamics, quantum mech.
For Friday: Boas, Ch. 1 I will try to hand out lecture notes every day in class