Mathematical Models for Engineering Problems
and Differential Equations
(fall 2017)
Dept. 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
Cloud tools
Octave Online
Octave on rollApp
with GUI
Octave Cloud
Execute MATLAB/Octave Online
by Coding Ground
online GNU Octave
by Worksheet Garden
tutorials
Octave Programming Tutorial
@Wikibooks
Tutorial Videos
@MIT Courseware (2014)
three videos
English caption provided
Videos can be downloaded
Manuals
Online manula
GNU Octave: Free Your Numbers
(PDF) for Octave version 4.0.3 (July 2016)
GUI
Octave Force
: GNU Octave for OSX & Windows
[deprecated]
GUI Octave
: GUI for the GNU Octave (recommended, GNU Octave needs to be installed separately.)
[commercial S/W]
Xoctave
: GNU Octave with GUI Interface
mobile version
Octave for Android
Verbosus Octave Editor
for Android, iOS, Windows mobile (commercial)
SIMO
for iOS (commercial)
GNU Octave Ãʰ£´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
CEMTool: MATLAB-like online tool by
Cemware
homepage
MathFreeOn
: Cloud version
NumPy: Scientific computing package for Python
homepage
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