Instructor: Fei Lu [
feilu## ( ## = @math.jhu.edu) ]
Class meets: TTh, 121:15, Krieger Laverty Lounge
Office Hours: Tue 9:3010:15, 1:152:15; Thr 9:3010:15, 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 15 and 7, and selected material from
Chapters 10, 12, and others.)
Grading Policy: homework (30%), midterm exams (30%) and a final (40%). No makeups on homework or exams. See General Information and Syllabus for details and information on getting help.
week  Topics  Sections  Homework  Due  Other 

1/28, 1/30  Heat equation: derivation Boundary conditions 
§1.15  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 
§2.14  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 
§3.34  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 
§3.56 §8.23 
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  §4.15  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 takehome exams.  
3/24, 3/26  SturmLiouville problem LecNotes Record Selfadjoint operator LecNotes Record 
§5.15  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  SturmLiouville theorem LecNotes Record Rayleigh quotient, Robin BC LecNotes Record 
§5.56  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 
§5.810  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 
§7.24 §7.57 
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 
§10.25 
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 
§10.56  
5/614  Final Exam  Due to COVID19, our Final Exam will be a takehome 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. 