Announcements
Solutions to Monday's activity are now posted.
Please check your grades to make sure they look correct!
There is a ton of helpful material below!
Syllabus (8/26)
Term Paper (DUE 12/1)
J. Bell’s Course Notes
Desmos Grapher
Week 1 (8/27) - Syllabus and PDE Intro
HW 1 (due 9/3 in class)
Read by 9/1: DuZ: 1.1; Bell 1 and 3
Read by 9/3: DuZ: 1.2-1.4; Bell 2
Read by 9/8: DuZ: 1.5-1.6
HW 1 Solutions
Week 2 (9/1) - Intro. and Classification
Read by 9/8: Bell 4
HW 2 (due: 9/10)
Lecture 1 and 2 slides
Some helpful notes:
Week 3 (9/8) - Brief Classification Examples; Transport and Method of Characteristics
Read by 9/15: DuZ 7.1-7.2
HW 3 (Due: 9/22)
Some helpful notes on characteristics:
Week 4 (9/15) - General First Order, Nonlinearity, Shocks
Read by 9/22: DuZ 7.3
Read by 9/24: Bell 5 and 6
Some helpful content:
HW 3 #6 Solution Movie and Explanation
Some Interesting Notes
Week 5 (9/22) - Begin Wave Equation: Derivation, Operator Factoring; d'Alembert
Read by 10/2: Bell 7
Reference: Strauss: 2.1 and 2.2
HW 4 (Due: ~ 10/3)
Week 6 (9/29) - Interpretation and Qualitative Properties for WEQ
Read by 10/7: Bell 8
Verifying d'Alembert
Examples for the wave equation, and peripheral notes.
HW 4 Help and Optional Videos
Duhamel's principle
Help on VERIFIYING
Dispersion for WEQ and HEQ
Week 7 (10/6) - Finite Energy Wave Uniqueness; Introduce and ``Solve" HEQ
HW 5 (due ~10/17)
Read by 10/13: Bell 9
Reference: Strauss: 3.2, 3.4
Week 8 (10/13) - Solving the HEQ and Basic Properties
Read by 10/23: Bell 10
Reference: Strauss: 2.5, 9.1, 9.2
Gaussians, Convolutions, and HEQ
HW 5 Help: How not to do 5(b)
HW Help Lecture
Duhamel's principle for Heat
Heat Activity I Complete Solutions
Week 9 (10/20) - Finish HEQ Qualitative Properties; Begin Fourier Transform
Read by 10/27: Bell 11
Read by 10/29: DuZ 4.1, 4.3
Activity for This Week
Heat Activity II Solutions
Comparing Wave and Heat NOTES