Instructor:
Sergey Dyachenko (email sergd@uw.edu )
Ryan Creedon (email creedon@uw.edu) TA
Time & Place:
Due to the UW regulations the classes do not meet in person until the end of the Spring quarter. The lectures are instead video recorded and are uploaded to my website until then, the link to the video recordings is below:
Video Lectures:
3/29/2020 Lecture 0: Course organization and introduction .mp4
3/30/2020 Lecture 1: Linearity, Homogeneity and Order of PDE .mp4 and .pdf
3/31/2020 Lecture 2: Traveling Waves .mp4 and .pdf
4/02/2020 Lecture 3: Method Of Characteristics, Wave equation .mp4 and .pdf
4/06/2020 Lecture 4: Initial and Boundary Conditions .mp4 and .pdf
4/07/2020 Lecture 5: Well-posedness and Classification of Second Order Linear PDEs .mp4 and .pdf
4/10/2020 Lecture 6: Wave Equation on the Line, D'Alembert formula .mp4 (reuploaded last minutes) and .pdf
4/13/2020 Lecture 7: Energy of Vibrating String, Wave Equation on Halfline (Dirichlet BC) .mp4 and .pdf
4/15/2020 Lecture 8: Wave Eqn on Halfline (Neumann BC), Wave Eqn with Forcing .mp4 and .pdf
4/17/2020 Lecture 9: Forced Wave Eqn on Half-line (Inhomogeneous Dirichlet BC) .mp4 and .pdf
4/20/2020 Lecture 10: Heat Equation on the Line .mp4 and .pdf
4/22/2020 Lecture 11: Heat Equation Examples and Inhomogeneous Forcing .mp4 and .pdf
4/24/2020 Lecture12: Heat Equation on Half-line, Conservation of Mass .mp4 and .pdf
4/27/2020 Lecture 13: Separation of Variables, Heat equation on Interval .mp4 and .pdf
4/29/2020 Lecture 14: Wave Equation on Interval, Neumann Boundary conditions .mp4 and .pdf
5/01/2020 Lecture 15: Neumann BC Example, Periodic Boundary Conditions .mp4 and .pdf
5/04/2020 Lecture 16: Solutions to Practice Problems 1 to 3 .mp4 and .pdf
5/06/2020 Lecture 17: Solutions to Practice Problems 5,6 and 8,9 .mp4 and .pdf
5/11/2020 Lecture 18: Solutions to the Exam .mp4 and .pdf
5/13/2020 Lecture 19: Robin BC .mp4 and .pdf
5/15/2020 Lecture 20: Sine series, Cosine series and Full Fourier series .mp4 and .pdf
5/18/2020 Lecture 21: Complex Series, Orthogonality, Convergence .mp4 and .pdf
5/20/2020 Lecture 22: Convergence and Completeness in L2 .mp4 and .pdf
5/22/2020 Lecture 23: Laplace Equation in Rectangle .mp4 and .pdf
5/27/2020 Lecture 24: Laplace Equation in Cube and Disk .mp4 and .pdf
5/29/2020 Lecture 25: Poisson Formula, Hydrogen Atom (simple case) .mp4 and .pdf
6/01/2020 Lecture 26: Hydrogen Atom .mp4
6/03/2020 Lecture 27: Final Exam Announcement and some Review problems .mp4
Homework Assignments:
The homework assignments with due dates will be posted on Homework website. The homework can be uploaded under the Assignments tab on Canvas. Please use PDF format.
Office Hours:
There are no in-person office hours, instead we will have online office hours via Zoom meetings on MWF 10:30-11:20 PDT.
Zoom Meeting ID: appears on F 10:25am
Ryan's Updated Office Hours:
M,W 10:30am - 11:30am
Zoom Link: https://washington.zoom.us/j/748710284
Meeting ID: 556-135-848
Message Board:
We will use Piazza for message board. Signup-up Link
Course Description:
Covers traveling waves of linear equations, dispersion relation, stability, superposition and Fourier analysis, d'Alembert solution, standing waves, vibrations and separation of variables, traveling waves of nonlinear equations, conservation laws, characteristics, breaking, shocks, and rarefaction.
Prerequisite:
either AMATH 351, MATH 136, or MATH 307
Required Materials:
There are no required textbooks. The course is based on the lecture notes of Professor Bernard Deconinck and
are available here Link.
Optional Textbook:
Walter A. Strauss, "Partial Differential Equation, An Introduction"
Roger Knobel, "An introduction to the mathematical theory of waves", AMS 1999, Student Mathematical Library Vol. 3
Grading Policy:
The overall grade for the class is accumulated from the scores of homework (40%) and exams (60%). There is one midterm exam, and the final exam. The grade for the class is assigned at the end of the quarter after the final exam is graded, however you are welcome to email me with questions about your current grade at any time during the semester to see how well you are doing. All missing work (HWs/Exams) is awarded zero points, so be sure to turn-in on time. The written work is expected to be neat: illegible work will not be graded. Answers to problems without supporting work or solution will receive no credit.
Homework Policy:
One lowest homework score is dropped. You are encouraged to cooperate while doing homework, but you are expected to complete the homework on your own and to write the solutions in your own words, and not contain pieces taken verbatim from elsewhere. The homework that looks too much alike will not be counted.
Examination Policy :
We will have take-home midterm exam, and the final exam is on Monday, June 8 at 8:30 am.
Exam Dates:
1. Midterm Exam will be posted on Thursday, May 7 at 8pm and is due Friday, May 8 at 8pm. You can upload it on Canvas.
2. The Final Exam will be posted on Monday, June 8 at 8:30am and is due Tuesday, June 9 at 8:30am.You can upload the exam on Canvas, the same way as for the Midterm exam.
Religious Accommodation Policy:
Washington state law requires that UW develop a policy for accommodation of student absences or significant hardship due to reasons of faith or conscience, or for organized religious activities. The University of Washington policy, including information about how to request an accommodation, is available at Faculty Syllabus Guidelines and Resources. Accommodations must be requested within the first two weeks of this course using the Religious Accommodations Request form available at
https://registrar.washington.edu/students/religious-accommodations-request/.