|
Robotics
http://www.thetech.org/exhibits_events/traveling/robotzoo/
http://robot.kaist.ac.kr/~leedy/ducky2/search/link/linksrobot.html
http://telerobot.mech.uwa.edu.au/secn/help.html
http://www-robotics.cs.umass.edu/robotics.html
http://tc.engr.wisc.edu/zwickel/Outreach/robotics.html
Robotics Video
http://www-robotics.cs.umass.edu/video-gallery.html
http://spacelink.nasa.gov/Instructional.Materials/Curriculum.Support/.index.html
Microcontrollers, Sensors, Indicators, etc.
http://web.mit.edu/rec/www/workshop/workshop-top.html
Robot Competitions
http://nis-www.lanl.gov/robot/
http://eto.msfc.nasa.gov/teachers.html
www.solarbotics.com
Games
http://observe.arc.nasa.gov/nasa/fun/mars/mars.html
Kits
http://www.lynxmotion.com/
Introduction to Robotics Mathematics
Math Fundamentals for Robotics 16-811
Fall 1999
Instructor: Michael Erdmann (me@cs.cmu.edu)
TA: Yanghai Tsin (ytsin+@andrew.cmu.edu)
Location: Porter Hall A18B
Time: TR 3:00-4:20
This course covers selected topics in applied mathematics. The
topics are:
1. Polynomial Interpolation and Approximation.
2. Solution of Nonlinear Equations.
3. Roots of Polynomials, Resultants.
4. Solution of Linear Equations.
5. Approximation by Orthogonal Functions (includes Fourier
series).
6. Integration of Ordinary Differential Equations.
7. Optimization.
8. Calculus of Variations (with applications to Mechanics).
9. Probability and Stochastic Processes (Markov chains).
Course Activity
This is a graduate course. You are thus expected to pursue ideas
and topics discussed in this course on your own beyond the level
of the lectures. The course grade will be determined by
performance on assignments, participation in class, and a term
project. Class assignments will entail solving some problems on
paper or implementing some of the algorithms discussed in the
course.
The term project should take about a month of work (40 hours). It
should pursue a mathematical topic in detail that is not otherwise
covered in detail in the course. Ideally, the project should be
connected to your research. If you are a first year graduate
student, you should view the project as a springboard to research
involvement. Project write-ups are due the last day of class.
Typical project writeups are 5-10 pages long. You will also be
expected to present your project to the class sometime in the last
two or three weeks of the term.
Bibliography
The main text for this course is:
W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling.
Numerical Recipes in C. Cambridge University Press. 2nd Edition,
1992.
Secondary references include:
1. S. D. Conte and C. de Boor. Elementary Numerical Analysis.
Third edition. McGraw-Hill. 1980.
2. G. Strang. Introduction to Applied Mathematics.
Wellesley-Cambridge Press. 1986.
3. R. Courant and D. Hilbert. Methods of Mathematical Physics.
Volume I. John Wiley and Sons. 1989. (Reprint of 1953 Interscience
edition.)
4. R. Weinstock. Calculus of Variations. Dover Publications. 1974.
(Reprint of 1952 McGraw-Hill edition.)
5. D. G. Luenberger. Introduction to Linear and Nonlinear
Programming. Addison-Wesley. 1973.
6. W. Yourgrau and S. Madelstam. Variational Principles in
Dynamics and Quantum Theory. Dover Publications. 1979. (Reprint of
a
1968 edition.)
7. G. H. Golub and C. F. Van Loan. Matrix Computations. Johns
Hopkins University Press. 1983.
8. G. E. Forsythe, M. A. Malcolm, and C. B. Moler. Computer
Methods for Mathematical Computations. Prentice-Hall. 1977.
Videos
Title: Liftoff to Learning
Episode 15: Let's Talk Robotics
Length/Year 14 minutes/1998
Format 1/2" VHS
Item Number 011.0-04V
Price $10.00
Level Grade 5-12
Application Physical Science, Technology
Offers an introduction to the use of robots in space exploration.
Astronauts demonstrate robotic arms and free-flying cameras on the
Space Shuttle. Viewers also get to see some of NASA's robotics
laboratories. The Mars Sojourner robot is featured, along with
middle and high school students using robots.
Related Links: Some of these links will take you out of the
CORE Catalog. To return, use the Back button on your browser or
bookmark this page for later reference.
Curriculum
http://www.ceeo.tufts.edu/graphics/windtunnel/index.html
http://www.ceeo.tufts.edu/Me94/index.html
http://www.ceeo.tufts.edu/graphics/collcurric.html
http://ldaps.ivv.nasa.gov/curriculum/
http://ldaps.ivv.nasa.gov/Curriculum/tunnel.html
http://www.lego.com/dacta/robolab/default.htm
http://www.tcet.unt.edu/tek-plan.htm
http://nyelabs.kcts.org/flash_go.html
http://www.tcet.unt.edu/webcurr.htm
http://www.snakerobots.com/
http://home.mira.net/~tonymerc/
Servos
http://mechatronics.mech.northwestern.edu/mechatronics/design_ref/actuators/servo_motor_intro.html
Steppers
http://www.cs.uiowa.edu/%7Ejones/step/
http://home.mira.net/~tonymerc/
Components
http://mama.agr.okayama-u.ac.jp/lase/tomato.html
http://www.strobotics.com/
http://telerobot.mech.uwa.edu.au/newrobot/htdocs/tutoria1.htm#layout
Drivetrains
http://dec1.wi-inf.uni-essen.de/~astephan/
Microcontrollers
http://www.8052.com/tutorial.htm
Transistors
http://landau1.phys.virginia.edu/classes/241L/transist/tran
|
