User manual for Iode - Department of Mathematics

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6 CONTENTS Matlab and Octave without the graphical user interface, and much of the code is easily extensible. Users are encouraged, and in some of our classes expected, to look at the code and modify it, take it apart, put it back together, and so on. For example, Appendix D discusses how to create your own solver module for numerically solving ODEs. On the other hand, Iode’s graphical user interface gives you access to most of the mathematical power of the underlying modules, without requiring you to program at all. This manual concentrates mostly on explaining the graphical user interface.
General features Launching the Iode graphical user interface (see instructions in Appendix B) gets you to the main menu: Direction fields Phase planes Second order linear ODEs Fourier series Partial differential equations Exit You can launch these modules independently, and can even launch multiple copies of each module. Before looking at these modules in detail, we explain some features that are common to all (or most) of them. Every window contains one or two graphs, as well as a number of controls for affecting those graphs. And across the top of each window is a menu bar whose entries include File, Equation (or Function), and Options. The File menu deals with the outside world, such as files and printers. The Equation menu deals with the mathematical content of your window, i.e., it controls what you’re looking at. The Options menu contains the display options, i.e., it controls how you’re looking at the contents of your window. Next we describe those menu items that are shared by all modules. Then we’ll come to more detailed chapters on each module in turn. File menu The File menu is the same for all components of Iode. • Open a file containing previously-saved settings for the window. 7
Page 1 and 2: User manual for Iode (graphical use
Page 3 and 4: Contents 1 Direction fields 11 2 Ph
Page 5: Overview Iode (rhymes with diode) i
Page 9 and 10: CONTENTS 9 to type “*” to indic
Page 11 and 12: Chapter 1 Direction fields This mod
Page 13 and 14: ut it is certainly a flaw that make
Page 15 and 16: Chapter 2 Phase planes This module
Page 17 and 18: Finally, as opposed to the behavior
Page 19 and 20: Chapter 3 Second order linear ODEs
Page 21 and 22: Chapter 4 Fourier series The Fourie
Page 23 and 24: Function menu • Enter function: Y
Page 25 and 26: Chapter 5 Partial differential equa
Page 27 and 28: (if working with the wave equation)
Page 29 and 30: Appendix A Installing Iode Iode run
Page 31 and 32: Appendix B Running Iode Running Iod
Page 33 and 34: Appendix C Reference materials Math
Page 35 and 36: ump(x,a,b,m): is a continuously dif
Page 37 and 38: Appendix D Structure of Iode For us

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