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
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
3/3, 3/5 Wave equation §4.1-5 3/10
3/10, 3/12 Sturm-Liouville problem/Review §5.1-3 Midterm: 3/12 (tentative)
3/17, 3/19 Spring Break
3/24, 3/26 Sturm-Liouville problem
Self-adjoint operator
§5.3-5 3/31
3/31, 4/2 Sturm-Liouville theorem
Rayleigh quotient, Robin BC
§5.5-6 4/7
4/7, 4/9 Approximation properties
Large eigenvaluses
§5.8-10 4/14
4/14, 4/16 Higher dimensional PDEs
Bessel functions
§7.2-4
§7.5-7
4/21
4/21, 4/23 Fourier Transform
Method of characteristic
§10.2-6
§12.2-5
4/28
4/28,30 Method of characteristic; §12.3-6
5/6-14 Final Exam - Wednesday, May 6, 9:00-12:00, in our classroom
Coverage: ALL. 60% credits for material after midterm.