309 A-C - Linear Analysis - Fall 2013 - UW

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Time: 1130-1220 (A), 1230-1320 (B), and 1330-1420 (C) MWF.
Place: Sieg 225 (A), Loew 201 (B), and More 234 (C).

E-mail: bantieau@uw.edu.
Phone: +1-206-543-1865.
Course webpage: www.math.washington.edu/~bantieau/201304-309.html.
Course discussion site: piazza.com.

Office hours: 1500-1600 MWF in my office, Padelford C-526.
Problem sessions: 1600-1800 6, 13, 18, 25 November and 2 and 8 December (the 8 December session was originally announced as 9 December). These will all take place in Loew 106.

Book: Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems, Wiley, 10th ed. ISBN: 978-0-470-45831-0. We will cover chapters 7, 9, and 10. Note that the text in the bookstore is a custom edition containing only chapters 7, 9, and 10 from this book. Hence, it will have a different ISBN. However, either the 9th or the 10th edition of the text, as long as you get chapters 7, 9, and 10 will work. However, if you get the 9th edition, it will be your responsibility to ensure that you do the correct homework problems should there be differences between the 9th and 10th eds. This could be accomplished by comparing with a classmates text. Here's an outline of where we'll be going: syllabus.


Important dates:
Problem sets:
Evaluation: Piazza: Miscellanea:
Catalogue description: 309. Linear Analysis. (3) Lecture, three hours. Prerequisites: 126, 307, 308. Math 309 serves as the culmination of the Math 307-8-9 program in linear analysis. It combines analysis tools and ideas (such as series expansions, complex numbers and exponentials, and differential equations) from Math 307 with comparable content (eigenvalues, and difference equations, orthogonal bases, projections and best approximations) from Math 308. These tools are applied to the solution and qualitative study of linear systems of ordinary differential equations, and to the analysis of classical partial differential equations (heat, wave, Laplace). In the case of partial differential equations, separation of variables is used to obtain boundary value problems which are then solved and are used to generate the Fourier series solutions of the original partial differential equation.