Syllabus

The readings are from Rosalind Archer's lecture notes, which are available on the Resources page.

The notes for each lecture will be available in PDF format. To read PDF files you need Adobe Acrobat Reader, which can be downloaded for free here.

Date Topics Assignments Reading
Apr 1 Introduction and General PDEs
Notes: PDF
  Ch. 1
Apr 3 PDEs and Fourier Series
Notes: PDF
Homework 1 Assigned  
Apr 8 The Fourier Transform
Notes: PDF
  § 4.1-4.3
Apr 10 Applications of the Fourier Transform
Notes: PDF
Homework 1 Due § 4.4-4.7
Apr 15 Discrete Fourier Analysis
Notes: PDF
Homework 2 Assigned § 4.8-4.9
Apr 17 The Laplace Transform
Notes: PDF
  Ch. 2
Apr 22 Applications of the Laplace Transform
Notes: PDF
  § 3.1-3.2
Apr 24 Applications of the Laplace Transform, cont'd
Notes: PDF
Homework 2 Due § 3.3-3.11
Apr 29 Wavelet Analysis
Notes: PDF
   
May 1 Midterm Exam, in class
Solution: PDF
   
May 6 Wavelet Analysis, cont'd
Notes: PDF
   
May 8 The Finite Element Method
Notes: PDF
Homework 3 Assigned  
May 13 The Finite Element Method, cont'd
Notes: PDF
Sample FEM code: M-file
   
May 15 No class Homework 3 Due
Homework 4 Assigned
 
May 20 The Finite Element Method, cont'd
Notes: PDF
  Ch. 6
May 22 The Boundary Element Method
Notes: PDF
Homework 4 Due Ch. 6
May 27 The Boundary Element Method, cont'd
Notes: PDF
  Ch. 7
May 29 Green's Functions
Notes: PDF
  Ch. 7
Jun 3 Review    
Jun 9 Final Exam, 12:15pm-3:15pm
Practice Exam: PDF