Mathematical Models for Engineering Problems
and Differential Equations
(fall 2012)
School of Computer Science / University of Seoul
home
syllabus
schedule
homeworks
materials
links
Links
Numerical methods
Bisection method applet
@U of Utah
Numerical methods applets
by Ronald Mak
Mathematical model
by Wikipedia
Numerical methods (Numerical analysis)
by Wikipedia
Numerical error
by Wikipedia
Ch.3
Animations for Root Finding
California State University Fullerton
Mathematical Modeling
The Mathematical Modeing Cycle
by Daniel Maki & Maynard Thompson @Indiana University (
¹ø¿ªº»
)
Differential equations
Differential equations
(by
Wikibooks
)
Video lectures
(course title:
Differential Equations
) by
Arthur Mattuck
(Dept. of Mathematics,
MIT
)
Notes on Diffy Qs: Differential Equations for Engineers
by
Jiří Lebl
(Dept. of Mathematics,
UIUC
)
Paul's Online Math Notes
by
Paul Dawkins
(Dept. of Mathematics,
Lamar University
)
Calculus
Elementary Calculus
by VIAS (Virtual Institute of Applied Science) group
Wolfram Mathematica Online Integrator
Lists of integrals
(Wikipedia)
Calculus
by
Gilbert Strang
(Dept. of Mathematics, MIT): Free PDF version.
Tools
GNU Octave: FREE Matlab clone
Homepage
GNU Octave Manual Version 3
GUI Octave
: GUI for the GNU Octave (recommended, GNU Octave needs to be installed separately.)
Xoctave
: GLU Octave Interface for Win32 (requires GNU Octave installed)
GNU Octave ÃÊ°£´Ü ¼³¸í¼
by Minho Kim
Introduction to Octave
by P.J.G. Long (2005)
Introduction to GNU Octave
by Hubert Selhofer (2008)
Differences between Octave and MATLAB
Sage
: FREE open-source mathematics software system
Maxima
: a FREE Computer Algebra System (CAS)
Physics engines
Bullet
(
Wikipedia
)
Havok
(
Wikipedia
)
PhysX
(
Wikipedia
)
Euphoria
Blender
Etc.
Stability of the Euler's implicit method
Forward and Backward Euler Methods
@MIT
Implicit Methods: how to not blow up
by David Baraff @CMU