Math 110.417 - Partial Differential Equations

Lecture Schedule and Homework Assignments | General Information and Syllabus

Instructor:     Fei Lu [ feilu##   ( ## = @math.jhu.edu) ]
Class meets:   TTh, 12-1:15, Krieger Laverty Lounge
Office Hours: Tue 9:30-10:15, 1:15-2:15; Thr 9:30--10:15,   Krieger 301 
URL:          http://www.math.jhu.edu/~feilu/20Spring/PDE417/PDE417.html
Grader :      Junyan Zhang         

Textbook:   Applied Partial Differential Equations, Richard Haberman, Fourth Edition.
                  (Plan to covering Chapters 1-5 and 7, and selected material from Chapters 10, 12, and others.)

Grading Policy: homework  (30%),  midterm exams (30%) and a final (40%).  No make-ups on homework or exams.  See General Information and Syllabus for details and information on getting help.

Please turn in homework assignments in the following format: Announcements: 

The Directed Reading Program is an effort, run by graduate students in our department, designed to allow undergraduate students to experience mathematics beyond the standard curriculum and to expose them to what doing and learning mathematics might feel like. To that end the program pairs undergraduate students with graduate student mentors for one-on-one weekly meetings. The program culminates in short presentations given by the undergraduates at an end-of-semester party open to all. Moreover, students can earn 1 mathematics credit by successfully completing the program.

Summer 2020 Research Experience For Undergraduates, University of Minnesota Application deadline: Friday, February 7, 2020

Tentative schedule (The lectures will likely move faster than the schedule)
week Topics Sections Homework Due Other
1/28, 1/30 Heat equation: derivation
Boundary conditions
§1.1-5 hw1: 1.2.9ab, 1.4.1g, 1.4.11, 1.5.3
For 1.5.3(b): show that the two vectors are orthogonal and normal.
2/4 solution
2/4, 2/6 Separation of variables
Heat equation
§2.1-4 hw2: 2.2.4; 2.3.2(c), 2.3.3(b),2.3.5,2.3.6; 2.4.1(b) 2/11 solution
2/11, 2/13 Laplace equation
Fourier series
§2.5,3.1 hw3: 2.5.1(d), 2.5.5(b),2.5.10,3.2.2(d)(g) 2/18 solution
2/18, 2/20 Fourier series
Term by term differentiation
§3.3-4 hw4: 3.3.1b, 3.3.2c, 3.3.5c,3.3.18,3.4.1, 3.4.6, 3.4.7 2/25 solution
2/25, 2/27 Fourier series: complex form
Inhomogeneous Problems
§3.5-6
§8.2-3
hw5: 3.5.1ab, 3.5.2a,3.5.5,3.4.11,8.2.2d, 8.3.6 3/3 solution
3/3, 3/5 Wave equation §4.1-5 hw6: 4.2.1a, 4.3.1,4.4.3b,4.4.4, 4.4.7 3/10 solution
3/10, 3/12 Midterm Review Midterm: 3/12 --canceled Midterm sample with solution
3/17, 3/19 Spring Break; Due to COVID19, our exams will be take-home exams.
3/24, 3/26 Sturm-Liouville problem LecNotes Record
Self-adjoint operator LecNotes Record
§5.1-5 hw7: 5.3.3, 5.3.4 ac, 5.3.5, 5.3.8, 5.3.9, 5.4.5 3/31 solution
3/31, 4/2 Sturm-Liouville theorem LecNotes Record
Rayleigh quotient, Robin BC LecNotes Record
§5.5-6 hw8: 5.5.1cef, 5.5.8, 5.6.1a,5.6.2 4/7 solution
4/7, 4/9 Approximation properties LecNotes Record
Large eigenvaluses LecNotes Record
§5.8-10 hw9: 5.8.1b, 5.8.8abd, 5.8.9, 5.9.1ac, 5.10.2a, 5.10.3 4/14 solution
4/14, 4/16 Higher dimensional PDEs LecNotes Record
Bessel functions    LecNotes
§7.2-4
§7.5-7
hw10: 7.3.3, 7.4.1, 7.5.9, 7.6.4,7.7.10,7.7.12b Midterm solution 4/21 solution
4/21, 4/23 Fourier Transform LecNotes
                              LecNotes Record
§10.2-5
hw11: 10.3.13,10.4.4,10.4.8, 10.5.1,10.5.12, 10.6.10,10.6.11c 4/28 Extended
to 4/30.
4/28,30 Fourier Transform LecNotes
Review;                LecNotes Record
§10.5-6
5/6-14 Final Exam - Due to COVID19, our Final Exam will be a take-home exam. You will receive the exam on Monday May 4th, and the due date is Monday, May 11th, 12pmEST.
Coverage: ALL. 60% credits for material after midterm.