Math 5339   (Dr. J. S. Zheng)


Office: Math-Physics 3306
Phone: 478 1338
Email: szheng at GeorgiaSouthern

 


    My favorite equation

\( \partial_t u=\mathcal{L} {u}+\mathcal{N} u \)


The universe is written in the language of mathematics (Galileo)

Math-Physics lab simulations link

Schedule of the class
Class schedule by chapters/sections (tentative)
PDE from Physics (Chapter 1) 1.1 - 1.3, 1.4*-1.5*
Wave and diffusion equations (Chapter 2) 2.1 - 2.3, 2.4*
Reflections and sources (Chapter 3*) 3.1-3.5*
Exam 1   Chap.1, 2 and 3*
Separation of variables (Chapter 4) 4.1-4.2,4.3*-4.4*
Fourier series (Chapter 5) 5.1-5.2, 5.3*
Laplace equation (Chapter 6) 6.1-6.2, 6.3**
**Green's functions (Chapter 7**) 7.1*, 7.2-7.3*
Exam 2   Chap.4, 5 and part of Chap.6* & 7*
**Computations for PDE 8.1**-8.2**
Final Exam



Homework/Project assignments (on Folio)


Zoom hours   Tuesday/Thursday 2:00-3:30 or other special times by appointment only


Important calendar dates


Review   Exam     Date  
Review Exam I    Exam I
Review Exam II Exam II
Review Exam III    Exam III  
Review Final      Final Exam  



Reading-Tutorial   Reading/Tutorial     Chapter/Section  
Reading I    Tutorial I
Reading II Tutorial II
Reading III    Tutorial III  
Reading IV      Tutorial IV  



Green's theorem (2d): $$\int_{\partial R}{\bf F}\cdot {\bf n} ds=\int_R\, \mathrm{div}\, {\bf F}\, dA$$

The divergence theorem in 3d (Gauss' theorem): \begin{align} &\int_{\partial\Omega}{\bf F}\cdot {\bf n} d\omega=\int_\Omega \mathrm{div} {\bf F} dV \end{align}





Computing Lab