|Lecture Room:||B139 Van Vleck|
|Lecture Time:||11:00–11:50 MWF|
|Office:||503 Van Vleck|
|Office Hours:||Wed 13:00–14:00, Thu 13:15–14:15|
The final is this Saturday May 6, 2017 at 10:05–12:05, room Van Vleck B239.
See the official syllabus.
The textbook for the class is Partial Differential Equations and Boundary Value Problems With Applications by Mark A. Pinsky (Third Edition).
I will also give a few lectures from D. J. Acheson's Elementary Fluid Dynamics (Oxford University Press). ISBN: 0198596790. This is not a required book.
Math 319 and 321.
Every two weeks or so I will assign homework from the textbook (or other sources) and post it here. The homework will be due in class about two weeks later.
|1||0.1.1: 2,4,7; 0.1.2: 1–4, 0.1.4: 1–3; 0.1.5: 1–4; 0.2.2: 1–3; 0.2.3: 1–8; 0.2.4: 1–4|
|2||02/20||0.3: 1,2,3,6,10,15; 1.1: 2,3,4,9,10,18,26,27,29,33,34; 1.2: 1,5,6,7,13,16; 1.3: 1,4,10–13; 1.4: 2,3; 1.5: 1,3|
|[Correction: in 0.3.3 for some printings f-bar should be f-hat.]|
|3||1.6: 1,6,8,10; 2.1: 1,2,4,5,10,11,12,13,14,21; 2.2: 1,3,7,8,12,14,18,21|
|4||03/27||2.3: 1,3,8,11; 2.4: 1,4,5,7,17,18|
|5||04/05||2.5: 1,6,14,15; 3.1: 4,5,8,9,10,18,26|
|6||04/19||3.3: 1,8,9; 5.1: 2,3,4,5,7,15,16; 5.2.6: 1,2,6,7,8|
There will be a midterm exam and a cumulative final exam. The final grade will be computed according to:
The midterm exam will be given in the evening on the date below.
|Midterm exam||Monday March 6, 2017 at 17:30–19:00, room Van Hise 114||[solutions]||(average 82%, standard dev 12%)|
|Final exam||Saturday May 6, 2017 at 10:05–12:05, room Van Vleck B239|
We'll use Piazza Q&A for discussions about the class and related topics. Feel free to post questions and answers there about homeworks and exams, logistics, or relevant interesting things you found on the web. Note that we will only use Piazza for the Q&A feature, not for posting the actual homeworks.
Note: there is not necessarily a one-to-one correspondence between lectures numbers and dates.
|1||01/18||0.1.1–3||Introduction: What is a PDE?|
|3||01/23, 01/25||0.1.5; 0.2||Classification; Separation of variables|
|4||01/25, 01/27||0.2||Separation of variables with BC|
|6||01/30||0.3||Orthogonal functions (cont'd)|
|7||02/01, 02/06||1.1||Orthogonal functions (end); Fourier series|
|8||02/06, 02/08||1.2||Convergence of Fourier series|
|9||02/10||1.3||The Gibb's phenomenon|
|10||02/13||1.4–1.5||Parseval's theorem; Complex form of Fourier series|
|11||02/15, 02/17||1.6||Sturm-Liouville eigenvalue problems|
|12||02/20, 02/24||1.6.4–1.6.5||General Sturm-Liouville problems [Matlab code for fig 1.6.2]|
|13||02/22, 02/24||4.2.2||Legendre's equation|
|14||02/27, 03/01||2.1.2–2.1.5||The heat equation in three dimensions [extra notes for general boundary condition]|
|15||03/03, 03/08||2.2.1–2.2.3||Initial Value Problem in a slab|
|–||03/06||–||Discussion of homework|
|17,18||03/10||2.3||Nonhomogeneous boundary conditions [example]|
|19||03/13||2.4.1–2.4.5||The vibrating string|
|20||03/15||2.4||The vibrating string (cont'd)|
|23||03/28||3.1.1–3.1.3||BVPs in cylindrical coordinates|
|24||04/03||3.1.6,3.1.7||BVPs in cylindrical coordinates (cont'd)|
|25||04/05||3.2,3.3.1||Wave equation and Bessel functions|
|27||04/10||5.1,5.2||Fourier transforms (cont'd)|
|28||04/12||5.2.4–5.2.6||Method of images|
|30||04/14–20||Acheson 229–232||Viscous flow and corner eddies (Start at bottom of page, at "Example".)|
|34||04/26||7.2||Numerical solution examples (Matlab programs)|
|–||04/28, 05/01||–||Discussion of homework|
|–||04/28–05/03||–||Discussion of homework|