Math 121b

[1/16/07] Brief intro of 3 PDE (13.1), Review: ODEs (8.2, 8.5), Review: Fourier Series (7.5)	[1/18/07] Review: Fourier Series (7.5, 7.8, 7.9), Steady-state temperatures for the 1-d heat equation, Some IVBVP for the 1-d heat equation (13.3) Assignment 1 Solutions
[1/23/07] Some IVBVP for the 1-d heat equation (13.3) Assignment 2 (a small correction was made 1/24/06) Solutions	[1/25/07] Assignment 1 due Some IVBVP for the 1-d heat equation (13.3), Sturm-Liouville problems (12.7, 12.19, See Exercise #24 on Chapter 12), Review: Euler equations (8.7) Assignment 3 Solutions
[1/30/07] Assignment 2 due Sturm-Liouville series expansion (12.7, 12.19, See Exercise 12.24), A Schrodinger IVBVP (13.3), Wave equations IVBVPs (13.4) Assignment 4 Solutions I will be out of town this day. The lecture will be given by Jeremy Marzuola.	[2/1/07] Assignment 3 due d'Alemberts solution to the wave equation (13.4), Computing the Laplacian in polar coordinates (13.5), Laplace's equation in a rectangle (13.2) Assignment 5 Solutions
[2/6/07] Assignment 4 due Laplace's equation in a rectangle (13.2); Laplace's equation in a disk (13.5); Max principle, uniqueness of solutions to Dirichlet problems, and mean value properties for harmonic functions; 2d heat equation in a rectangular plate. Assignment 6 Solutions	[2/8/07] Assignment 5 due 2d heat equation in a rectangular plate; intro to heat in a circular plate (13.5) and vibrations of circular membranes (13.6); Review of series solutions to ODEs (12.1, 12.11, 12.21); Bessel's equation (12.12) No assignment due to the exam on 2/15/07.
[2/13/07] Assignment 6 due Method of Frobenious (12.11), Bessel's equation (12.12), Gamma function (11.1, 11.2, 11.3, 11.4, 11.5) See the assignment on 2/15/07.	[2/15/07] Exam 1 Assignment 7 Solutions
[2/20/07] Reduction of order (8.7), Second solution (12.13), Solution to the full ODE from separation of variables (12.16), Behavior near 0 (12.14), Recursion relations (12.15), Integral form of Bessel's functions (Problem 12.23.20), Orthogonality of Bessel's functions (12.19) Assignment 8 Solutions	[2/22/07] Assignment 7 due A fairly general ODE with Bessel solutions (12.16), Temperature in a cylinder (13.5), Vibrations of a circular membrane (13.6) Read 12.17, 12.18, 12.20 on your own. Assignment 9 Solutions
[2/27/07] Assignment 8 due 3 Exercises of IVBVP involving Bessel functions (13.5), Beta function (11.6, 11.7), Error function (11.9) Read 11.8 on your own. Assignment 10 Solutions	[3/1/07] Assignment 9 due Asymptotic series (11.10), Stirling's formula (11.11), Laplacian in spherical coordinates (13.7), Legendre equation (12.2) Read 11.12 on your own Assignment 11 Solutions
[3/6/07] Assignment 10 due Legendre equation (12.2), Power series solutions to ODE (12.1), Orthogonality and Legendre series (12.7, 12.8, 12.9), Rodrigues' formula (12.4), Recursion relations (12.5, Review: 12.3) Assignment 12 Solutions	[3/8/07] Assignment 11 due Applications of Legendre (Potential in a sphere, Heat in a spherical shell, Spherical waves) (13.7), Review: Fourier transform (7.12), Separation of variables for the heat equation in unbounded domains (13.9) Assignment 13 Solutions
[3/13/07] Assignment 12 due Heat equation in unbounded domains (13.9), Potential in a slot (13.9), Review: Laplace transform (8.8-8.10). PDE using the Laplace transform (13.9) Assignment 14 Solutions I will be out of town this day. The lecture will be given by Jeremy Marzuola.	[3/15/07] Assignment 13 due No assignment due to the exam on 3/22/07. PDE using the Laplace transform (13.9) I will be out of town this day. The lecture will be given by Jeremy Marzuola.
[3/20/07] Assignment 14 due Review, PDE using the Laplace transform (13.9) See the assignment on 3/22/07	[3/22/07] Exam 2 Assignment 15 Solutions (typos corrected in #1 on 4/10/07)
[4/3/07] PDE using Laplace transform (13.9), Shannon's sampling theorem, Intro to probability and statistics (15.1), Sample spaces (15.2), Some probability theorems / set theory (15.3). Assignment 16 Solutions	[4/5/07] Assignment 15 due Some probability theorems (15.3), Counting (15.4) Assignment 17 Solutions
[4/10/07] Assignment 16 due Counting (15.4), Conditional probability (15.3), Independence (15.3) Assignment 18 Solutions	[4/12/07] Assignment 17 due Random variables (15.5) Assignment 19 Solutions
[4/17/07] Assignment 18 due Random variables (15.5), Binomial distribution (15.7), Poisson distribution (15.9) Assignment 20 Solutions	[4/19/07] Assignment 19 due Poisson distribution (15.9), Continuous distributions (15.6) Assignment 21 Solutions
[4/24/07] Assignment 20 due Normal distributions (15.8), Joint probability distributions (15.6) Assignment 22 Solutions	[4/26/07] Assignment 21 due Joint probability distributions (15.6) Assignment 23 Solutions
[5/1/07] Assignment 22 due Central Limit Theorem, Some basic statistics, Confidence intervals (15.10) There will be no more graded assignments.	[5/3/07] Assignment 23 due Confidence intervals (15.10)
[5/8/07] Review Last lecture.