AM125c: Engineering Mathematical Principles
Academic year 2001-02
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 1-2 |
|
TA's: |
Isaac Chenchiah |
Office: 212E Thomas |
Extension: x4648 |
Email: isaacc at caltech dot edu |
Office Hours: Tu 1-3 |
|
| Rustem Shaikhutdinov |
Office: 110 Thomas |
Extension: x4235 |
Email: rustem at its dot caltech dot edu |
Office Hours: M W 2-3 |
|
| Kelvin Yuen |
Office: 110A Thomas |
Extension: x4236 |
Email: kvyuen at caltech dot edu |
Office Hours: M 12-1, W 3-4 |
|
Lecture time and location
MWF 9-10, 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/1-2/misc/hw4-1.pdf
...
teaching/classes/A/1-2/misc/hw4-10.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 | Cole-Hopf 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, well-posedness,
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 take-home 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 take-home 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 12-1 | Kelvin | 110A Thomas |
Monday 2-3 | Rustem | 110 Thomas |
Tuesday 1-3 | Isaac | 212E Thomas |
Wednesday 2-3 | Rustem | 110 Thomas |
Wednesday 3-4 | Kelvin | 110A Thomas |
Friday 1-2 | Johannes | 225 Thomas |
Feel free to stop by Johannes' office anytime if you have
questions!