Math 4280 - Spring 2020

    Introduction to Partial Differential Equations          


                                                                                                                                                                                   

 Information                                                           

 

               

  Course Professor: Timothy J. Healey

 

  Email: tjh10@cornell.edu

 

  Office Hours: 3-4pm T-Th in Malott 523

 

  Course TA: Aleksandra Niepla

 

  Email: an489@cornell.edu

 

  Office Hours: 1-3 pm Wed. in Malott 218

                        

 

  Lecture time and location:  Tuesdays & Thursdays 1:25 - 2:40 PM in MLT406

 

 

  Course Textbook: Partial Differential Equations: An Introduction, 2nd Ed., Walter A.

 

                                 Strauss, John Wiley & Sons, 2008

 

 

 

  Grading breakdown: 25% Homework, 20% x 2 in-class exams, 35% Final exam

 

 

  Homework Policy: There will be weekly homework sets, full sets of solutions will be

 

 

                                  posted regularly. Homework is to be submitted in class. Late HW is 

 

 

                                  not accepted without permission and a valid excuse. If for any reason

 

                                  

                                  you believe there is an error in the grading of your HW please contact

 

          

                                  the TA directly.

 

 

  Course webpage: https://canvas.cornell.edu/  please sign in with your NetID in order to 

 

                                 view the regularly updated syllabus, HW assignments, HW

                            

                                 solutions, and your HW grades.

                   

Course Schedule

  Readings        Assignment                 Solutions       

 WEEK 1    (1/21)

  Sections:1.1-1.3

   pp. 9-10: #1,3,4,7,9,10,12

   Due: 1/30

  HW1 Solutions

 WEEK 2    (1/28)

 Sections 1.5-1.6

  p. 10: show that problem 10 has a unique solution; p. 31: #1-5 

Due 2/6

HW 2 Solutions

 WEEK 3    (2/4)

 Sections 2.1- 2.3

  Click here for assignment

    Due 2/13

 HW 3 Solutions

 WEEK 4   (2/11)

 Sections 3.2 & 3.4

Click here for assignment

    Due 2/20

HW 4 Solutions

 WEEK 5   (2/18)

  Sections 2.4 & 3.1  

Strauss, p.  52-54:  2, 4,  8, 18 {set w(y,t) = u(y+Vt,t) iff u(x,t) = w(x-Vt, t); solve for w}.

Due Friday 2/28 by 12:00 pm.  Submission instructions: you can submit in class on Thursday OR you can hand it in by noon in Prof. Healey's office. No electronic copies will be accepted. 

HW 5 Solutions

WEEK 6 (2/25)

no class on Tues.(2/25)

Exam I, in class Thurs (2/27)

exam covers everything we've done so far except for the heat/diffusion equation. The exam is closed book, closed notes, no electronics. You may bring along an 8 x 11, 1-sided 'cheat sheet'- in your own handwriting, no photo copying. Cheat sheets will be collected.

no HW due next week

exam solutions

 WEEK 7   (3/3)

Sections 4.1, 4.2

p. 60 : Problems 2, 3

p. 83: Problem 1

p. 87: derive all details for (13)-(15) leading to (17)

p. 89: Problem 6

* Due Tuesday 3/10* 

 

 WEEK 8   (3/10)

Sections 5.1, 5.2

Click here for assignment

Due Tuesday 3/17

 

 WEEK 9   (3/17)

  Remainder of the course context will be found on Canvas only.   

 WEEK 10  (3/24)

     

 WEEK 11   (3/31)

 no class Tues. and Thurs. (spring break)    

 WEEK 12   (4/7)

     

 WEEK 12 (4/9)

 Exam II, in class    

 WEEK 13  (4/14)

     

 WEEK 14 (4/21)

     

 WEEK 15 (4/29)

     

 WEEK 16  (5/5)

     

 Sunday, May 10, 9-11:30 AM

 FINAL EXAM    

 

Additional Resources

Any additional course materials or optional reading suggestions will be posted here.