AM125c: Engineering Mathematical Principles


Academic year 2001-02

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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

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

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!