1 Basic elements in the use of Maple -- 2 Numbers and algebraic operators -- 3 Names and evaluation 1: mathematical variables -- 4 Elementary calculus -- 5 Names and evaluation 2: applying procedures -- 6 Creating and using mathematical functions -- 7 Graphics -- 8 Taylor or Laurent expansion and limits -- 9 Numerical calculations with Maple -- 10 Manipulating several objects at once -- 11 Substitution and subexpressions -- 12 Manipulating and converting numbers -- 13 Polynomials and rational expressions -- 14 Polynomial equations and factoring polynomials -- 15 Manipulating algebraic expressions -- 16 Solving equations and inequalities in general -- 17 Solving differential equations -- 18 Vectors and matrices -- Appendix A Types, properties, and domains -- A.1 Basic types -- More types -- Selection on type -- Properties, the assume facility -- Derived properties -- Asking for the assumed properties -- Adding properties -- Combining properties -- Properties and assigning -- Properties and formal parameters -- Domains, the Domains package -- Appendix B Names and evaluation 3: some special features -- Changing names, alias -- Finding names used -- Indexed names -- Quotes with table, arrays, vectors, and matrices -- Recovering lost procedures -- Exceptions to the rule of automatic full evaluation -- Appendix C The user interface for text-only versions -- Starting, interrupting, and quitting Maple -- Editing commands -- Pictures -- Maple system messages -- Saving a session and its results -- Appendix D Procedures remembering previous results -- Remember tables of procedures -- Clearing (parts of) the remember table -- An example of side effects of the remember table: infolevel -- Appendix E Control structures -- Procedures -- Searching for causes of odd behavior with trace or printlevel -- Using if ... fi for choices -- Recursion -- Using do od for repeating actions -- An example: checking the results of solve by substituting -- Error messages and warnings -- Catchword index.