AM125c: Engineering Mathematical Principles
Academic year 200102
Jump within this page to:
Instructor and TA's 
Lecture time and location 
Lecture news 
Homework assignments 
References 
Exams & Grades 
Office hours, listed
by date
Instructor and TA's
Instructor: 
Johannes Zimmer 
Office: 225 Thomas 
Extension: x3855 
Email: zimmer at caltech dot edu 
Office Hour: F 12 

TA's: 
Isaac Chenchiah 
Office: 212E Thomas 
Extension: x4648 
Email: isaacc at caltech dot edu 
Office Hours: Tu 13 

 Rustem Shaikhutdinov 
Office: 110 Thomas 
Extension: x4235 
Email: rustem at its dot caltech dot edu 
Office Hours: M W 23 

 Kelvin Yuen 
Office: 110A Thomas 
Extension: x4236 
Email: kvyuen at caltech dot edu 
Office Hours: M 121, W 34 

Lecture time and location
MWF 910, 206 Thomas.
Lecture news
 May 5, 2002: We are grading the midterm exam today, so
there will be no office hours today. If, however, there is a
mathematical emergency, then you can find us in the seminar
room in Thomas 214.
 May 3, 2002: Amir scanned the solution of HW#4 and
suggested to make it accesible via the internet. So, this
file contains all 10 pages as compressed pdf (507kB); the
pages can also be downloaded individually (ca. 60kB each):
teaching/classes/A/12/misc/hw41.pdf
...
teaching/classes/A/12/misc/hw410.pdf
 March 26, 2002: L. C. Evans
offers on his webpage errata sheets for his book on Partial
Differential Equations: second
printing (1999), first
printing (1998).
 March 25, 2002: The web page for AM125b are still
online.
Homework assignments
 Final Exam 
ps 
pdf 
Solution in Sherman Fairchild Library 
#7  ColeHopf transformation, entropy/entropy flux,
characteristics for second order PDEs 
ps 
pdf 
Solution in Sherman Fairchild Library 
#6  Hyperbolic equations, shocks, entropy solutions,
CFL condition 
ps 
pdf 
Solution in Sherman Fairchild Library 
#5  First order equations, characteristics 
ps 
pdf 
Solution in Sherman Fairchild Library 
 Midterm Exam 
ps 
pdf 
Solution in Sherman Fairchild Library 
#4  Heat equation: maximum principle, wellposedness,
backwards heat eq., energy methods 
ps 
pdf 
Solution in Sherman Fairchild Library 
#3  Conformal mapping, Green's function, Fourier
series, well posedness 
ps 
pdf 
Solution in Sherman Fairchild Library 
#2  Floquet theory, Poisson's formula for Laplace's
equation, maximum principle 
ps 
pdf 
Solution in Sherman Fairchild Library 
#1  Nonlinear stability, Lyapunov functions, Floquet
theory 
ps 
pdf 
Solution in Sherman Fairchild Library 
References
The references are available in
ps and in pdf. The
books listed in the references are on reserve at Sherman
Fairchild Library.
Exams & Grades
 Midterm Exam: 120 minute takehome exam, open books and
notes. The exam will be handed out Wednesday, May 1 in class
and is due Monday, May 6 in class. During the midterm
examination period, there will be no homework assignment.
 Final Exam: 120 minute takehome exam, open books and
notes. The exam will be handed out Wednesday, May 29 in class
and is due Wednesday, June 5, 9am at Johannes' office.
Your overall course grade will be determined according to the
following weights: Homework 40%, midterm exam 30%, final exam
30%.
Office hours, listed by date
Monday 121  Kelvin  110A Thomas 
Monday 23  Rustem  110 Thomas 
Tuesday 13  Isaac  212E Thomas 
Wednesday 23  Rustem  110 Thomas 
Wednesday 34  Kelvin  110A Thomas 
Friday 12  Johannes  225 Thomas 
Feel free to stop by Johannes' office anytime if you have
questions!