Welcome to the Math Tutor. It offers a survey of undergraduate mathematics related to analysis and its main focus is on practical skills. It should therefore be an ideal companion when you study for a test or try to master some computational technique.

Navigation is rather simple. The browser is split into three windows. The top one - the menu bar - allows you to choose an area (Sequences, Functions, ...) that you want to study and a point of view for the chosen area (Theory, Methods Survey, Solved problems, Exercises). The chosen area is highlighted. This menu bar stays available, so no matter where you are in the Math Tutor, you can always get to the beginning of an arbitrary topic by clicking somewhere in the menu bar. For more information about areas and above all about points of view please click here, it is actually a sort of a guide and a manual to using the Math Tutor.

The text itself appears in the other windows. The top one (in which you read this) contains menus offering further selection and the main texts. Links on which you click in these main texts (remarks, explanatory notes, supplementary info and details) appear in the lower, secondary window (if you clicked above, the guide appeared in there). Most browsers allow you to move the border between the browser windows, so you can fit the size of the windows to best help you in your study.

Sometimes you will be offered the possibility to open a separate full-size window for longer reference texts in cases where you might likely appreciate being able to work with two different texts side-by-side (e.g. comparing some solved problem with methods survey). Of course, you can also open manually any link in a separate full-size window of its own (browsers have its ways to do it, for instance in Netscape you click with the middle mouse button); in general, using your browser's capabilities (e.g. the Back button) can help. And if you ever get lost, you can always click on any choice in the menu bar and get to the beginning of it. We ofer more details on navigation below. One more remark, of course it is possible to start more copies of the Math Tutor.

You can always get to this introductory page by clicking on .

Please send your complains, compliments, coments, and/or suggestions to habala@math.feld.cvut.cz.

Information offered by the Math Tutor is divided into logical units. The better you understanding of this structure, the easier it will be to get around. The basic division is by area and point of view in the menu bar. This selection is always available. Now imagine that we chose Sequences, the point of view Theory.

In the main window the first-level menu appears, in this case offering Basic properties, Limit, and Applications. This is then the level to which you can always get to from the menu bar. Material belonging to each topic is then divided into chapters, which you will see as a second-level menu after clicking on appropriate link. For instance, if you click in the above first-level menu on Limit of a sequence, you will see a menu with seven chapters. Navigation works as follows: You can get to the chapters directly from the appropriate second-level menu, conversely every chapter offers a link up to the second-level menu and also to the next chapter. It is therefore easy to navigate between chapters related to one topic (e.g. Limit). Of course, it is always possible to use the browser's Back button and history.

Example: After clicking

and then

one can for instance further navigate like this:

Similar structure appears also in the menus of other points of view, grouping of topics in first-level menus always corresponds as close as possible to the structure in Theory. For instance, if you choose Sequences - Methods Survey or Sequences - Solved Problems in the menu bar, you will in each case see the first-level menu Basic properties and Limit.