GENERAL INFORMATION

• Syllabus.
• ICON. Homework assignments can be found there.

Textbook:

• Variational Calculus and Optimal Control: Optimization with Elementary Convexity by John L. Troutman, Undergraduate Texts in Mathematics, Springer New York, 477 pages, Hardcover ISBN-10: 0387945113, ISBN-13: 978-0-387-94511-8, Published: 1 December 1995, Softcover ISBN-10: 1461268877, ISBN-13: 978-1-4612-6887-1, Published: 30 September 2012, eBook ISBN-13: 978-1-4612-0737-5, Published: 06 December 2012, list price: $49.99 (eBook only). Table of contents. . The hardcover book on amazon.com. The softcover book on amazon.com.

Additional useful readings:

• Introduction to the Calculus of Variations by Hans Sagan, 1969 edition, 449 pages, Paperback, Dover Publications, ISBN-10: 0486673669, ISBN-13: 978-0486673660, list price: $19.95. Library references: Physics Library QA315 .S23 1992 and Mathematical Sciences Library QA315 .S23. Table of contents. The book on amazon.com.
• Calculus of Variations by I. M. Gelfand and S. V. Fomin, October 2000, 240 pages, Paperback, Dover Publications, ISBN-10: 0486414485, ISBN-13: 978-0486414485, list price: $11.95. Library reference: Mathematical Sciences Library QA315 .G417. The book on amazon.com.
• The Calculus of Variations by B. van Brunt, Springer-Verlag, New York, Universitext, 2004, 291 pages, ISBN: 978-0-387-40247-5 (Print), 978-0-387-21697-3 (Online).
• Differential Dynamical Systems, Revised Edition by James D. Meiss. 2017, 410 pages, Publisher: Society for Industrial and Applied Mathematics (SIAM), Series: Mathematical Modeling and Computation, ISBN-10: 1611974631, ISBN-13: 978-1611974638, list price: $87.00 (Softcover). The book on amazon.com.
• Ordinary Differential Equations and Dynamical Systems by Gerald Teschl, American Mathematical Society, Providence, Series: Graduate Studies in Mathematics, vol. 140, 2012, 356 pages, Softcover, ISBN-10: 0-8218-8328-3, ISBN-13: 978-0-8218-8328-0, list price: $64.00. Electronic version and erratum.
• Nonlinear Differential Equations and Dynamical Systems (second Edition) by Ferdinand Verhulst, Springer, Series: Universitext, 303 pages, Softcover, Corr. 2nd printing, 1996, ISBN-10: 3540609342, ISBN-13: 978-3540609346, list price: $49.95. Library reference: Physics Library QA372 .V48513 1996. The book on amazon.com.
• Ordinary Differential Equations by Vladimir I. Arnol'd (Author), R. Cooke (Translator), Springer, 272 pages, Softcover, 3rd edition, 1992, ISBN-13: 978-3540345633, list price: $64.95. The book on amazon.com.
• Principles of Differential Equations by Nelson G. Markley, Wiley-Interscience, Hoboken, N.J., Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts, 2004, 352 pages, Hardcover, ISBN: 0-471-64956-2. Table of contents. Library reference: Mathematical Sciences Library QA371 .M264 2004.
The Theory of Differential Equations: Classical and Qualitative by Walter G. Kelley and Allan C. Peterson, Springer, Series: Universitext, Vol. 278, 424 pages, Softcover, 2nd edition, 2010, ISBN-10: 1441957820, ISBN-13: 978-1441957825, list price: $69.95. The book on amazon.com.
• Introduction to Applied Nonlinear Dynamical Systems and Chaos by Stephen Wiggins, Springer, Series: Texts in Applied Mathematics, Vol. 2, 2nd edition, 2003, 808 pages, Hardcover, ISBN: 978-0387001777, list price: $109.00. Library reference: Mathematical Sciences Library QA614.8 .W54 2003. Electronic version.
• Differential Equations and Dynamical Systems (Hardcover) by Lawrence Perko, Springer, Series: Texts in Applied Mathematics, Vol. 7, 3rd edition, 2001, 568 pages, ISBN: 0-387-95116-4. Library reference: Mathematical Sciences Library QA372 .P47 1991.
• Stability, instability and chaos by Paul Glendinning, Cambridge University Press, Cambridge texts in applied mathematics 11, 1994, 388 pages, ISBN: 0-521-42566-2, reprinted 1999.
• An Introduction to Dynamical Systems: Continuous and Discrete, Second Edition by R. Clark Robinson, American Mathematical Society; 2 edition, December 7, 2012, Pure and Applied Undergraduate Texts, 733 pages, ISBN: 978-0821891353, Library reference: Engineering Library QA614.8 .R65 2012. Errata on the book by the author.
• Dynamical Systems with Applications using Matlab by Stephen Lynch, Birkhauser, Boston, 2004, 450 pages, ISBN 0-8176-4321-4, Library reference: Engineering Library QA614.8 .L97 2004.
• Nonlinear dynamics and chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Studies in Nonlinearity), 2nd Edition by Steven H. Strogatz, Westview Press, 2014, ISBN-13: 978-0813349107, Library reference: Engineering Library Q172.5.C45 S767 2015.
• Chaos: an introduction to dynamical systems by Kathleen T. Alligood, Tim D. Sauer, James A. Yorke, Springer, New York, Textbooks in mathematical sciences, 1997, 603 pages, ISBN: 0387946772, Library reference: Mathematical Sciences Library QA614.8 .A44 1997.
• Solving ordinary differential equations I. Nonstiff problems by E. Hairer, S. P. Norsett, and Gerhard Wanner, Springer, Berlin, Springer Series in Computational Mathematics, vol. 8, Second Revised Edition, 1993, 528 pages, ISBN: 978-3-540-56670-0. Library reference: Mathematical Sciences Library QA372 .H16 1993 v.1.
• Solving ordinary differential equations II. Stiff and differential-algebraic problems by E. Hairer and G. Wanner, Springer, Berlin, Springer Series in Computational Mathematics, vol. 14, Second Revised Edition, 1996, 614 pages, ISBN: 978-3-540-60452-5. Library reference: Mathematical Sciences Library QA372 .H16 1993 v.2.
• Geometric numerical integration: structure-preserving algorithms for ordinary differential equations by E. Hairer, Ch. Lubich, and G. Wanner, Springer, Berlin, Springer Series in Computational Mathematics, vol. 31, Second Revised Edition, 2006, 644 pages, ISBN: 978-3-540-30663-4.

MATLAB

• MATLAB Academy, learn Matlab interactively at your own pace.
• Matlab Help is available directly from the Help menu of the Matlab window.
• MATLAB Tutorials and Learning Resources from MathWorks, Classroom Resources, MATLAB & Simulink Tutorials, Students and Educators Resources, all presented by Mathworks, Inc., producers of Matlab.
• Matlab Primer (pdf)
• Introduction to Engineering Programming: in C, MATLAB and JAVA by Mark A. Austin.
• A very good book on Matlab: MATLAB programming with applications for engineers by Stephen J. Chapman, Cengage Learning, Stamford, CT, 1st edition, 2012, ISBN-10: 0495668079, ISBN-13: 978-0495668077, 592 pages. Engineering Library QA76.73.M37 C52 2013. The book on amazon.com.
• An excellent book on Matlab: MATLAB: An Introduction with Applications by Amos Gilat, Hoboken, N.J.: Wiley ; Chichester : John Wiley, 2008, ISBN-10: 0470108770, ISBN-13: 978-0470108772 (ENGINEERING QA297 .G48 2008)
• MATLAB Guide, 2nd edition by Desmond J. Higham and Nicholas J. Higham, SIAM, Philadelphia, 2005 (ENGINEERING QA297 .H5217 2005)
• Matlab for first order ODEs
• Matlab for higher order ODEs and systems of ODEs
• Free electronic textbook Numerical Computing with MATLAB by Cleve Moler himself!, the founder of Matlab, SIAM, Philadelphia, 2nd edition, 2008, (Engineering Library QA297 .M625 2004).

LINUX COMPUTER ACCOUNTS

• CLAS Linux Support.
• CLAS Linux Accounts are available on the Linux network in MLH (computer lab rooms B5 and 301).
• You can find local online Linux Help for questions/problems you may have about Linux.
• Selected Unix commands.
• If you have problems with your Linux account go to 303A MLH.
• These accounts expire. If there is anything in this directory that you would like to save, you must archive it.

Remote access:

• To access your Linux computer account remotely you can use FastX, a graphical Linux virtual desktop environment remotely accessible in your web browser:
  • Login with your Hawkid username/password
  • Click "XFCE or MATE" depending on which desktop you want to use
• Remote Windows Access.