SymbMath 3.0: A Symbolic Calculator with Learning by Dr. Weiguang HUANG Dept. Analytical Chemsitry, University of New South Wales, Kensington, Sydney, NSW 2033, Australia Phone: 61-2-697-4643, Fax: 61-2-662-2835 E-mail: w.huang@unsw.edu.au, s9300078@cumulus.csd.unsw.oz.au SymbMath (an abbreviation for Symbolic Mathematics) is a symbolic calculator that can solve symbolic math problems. SymbMath is a computer algebra system that can perform exact numeric, symbolic and graphic computation. It manipulates complicated formulas and returns answers in terms of symbols, formulas, exact numbers, table and graph. SymbMath is an expert system that is able to learn from user's input. If the user only input one formula without writing any code, it will automatically learn many problems related to this formula (e.g. it learns the integrals of an unknown function from a derivative of that unknown function). SymbMath is a programming language in which you can write programs, functions and procedures. SymbMath is a symbolic, numerical and graphics computing environment where you can set up, run and document your calculation, and draw your graph. SymbMath is database where you can search your database. SymbMath is a multi-windowed text editor in which you can edit many documents in many windows. It runs on IBM PCs (8086) with 400 KB free memory under MS-DOS. It can provide analytical and numerical answers for: o Differentiation: regular or higher order, partial or total, mixed and implicit differentiation, one-sided derivatives. o Integration: indefinite or definite integration, multiple integration, infinity as a bound, parametric or iterated integration, line or surface integrals, discontinuous or implicit integration. o Solution of equations: roots of a polynomial, systems of algebraic or differential equations. o Manipulation of expressions: simplification, factoring or expansion, substitution, evaluation. o User-defined functions: conditional, case, piecewise, recursion. o Calculation: exact and floating-point numerical computation of integer, rational, real and complex numbers in the range from minus to plus infinity, even with different units. o Limits: real, complex or one-sided limits, indeterminate forms. o Complex: calculation, functions, derivatives, integration. o Sum and product: partial, finite or infinite. o Others: series, lists, arrays, vectors, matrices, tables, etc. Also included are: o Pull-down and pop-up menus, resizable and colourable windows. o Programming in integrated edit-interpret-debug environment. o On-line help, and on-line manual. o Procedural, conditional, iterational, recursive, functional, rule-based, logic, pattern-matching and graphic programming. o Autoloaded library in the SymbMath language. o Plotting functions and graphing. o Searching database. It has three versions: Shareware, Student, and Advanced. The shareware version is available from SIMTEL archives on anonymous FTP sites (e.g. oak.oakland.edu in /pub/msdos/calculator as sm30a.zip).