TI-92+ Programs and Functions

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Algebra - folder al download

addeq - Adds two equations togather.
arg - Returns a list of the arguments of an aggregate or function.

Uses ut\fdend,is\agregate

degree - Returns the maximum degree of an expression or equation.
dstb - Distributes an aggregate over the terms of it's argument.

Uses al\terms,al\arg,is\alpha

factors - Makes a list of the factors of an expression.
join - Makes an expression from a term list made by al\terms.

Uses ut\inany

mpyeq - Multiplies two equations togather.
posdm - Converts expression to an expression restricted to the positive domain.

Uses ut\cclose,is\agregate,is\oper

realdm - Returns the real domain of an expression WRT a variable.

Uses al\svineq

sbjoin - Makes an expression from a sub list of a list of terms made by al\terms.
svineq - Solves an inequality for a particular variable.

Uses is\nexpr,p\sortl,de\psol

terms - Returns a list of terms of an expression or equation.

Uses ut\getstr,ut\fdend,ut\cclose

xhg - Exchanges sides of an equation.
xord - Exchanges the order of nested aggregates.

Uses is\agregate

Examples

Complex - folder c download Z Transform readme

cnv - converts d(y(x),x) and highter forms to y'(x) forms for an equation or expression
iz - Inverse Z transform

Uses i\ci, al\factors, al\join, folders is, ut

zt - Z transform

Uses folders is, ut, zt

Examples

Z Transform - folder zt download table

Example of Recursion Equation

Differential Equations - folder de download

cnv - Converts an expression or equation in d(y(x),x) format to ' format.
d - Takes the derivative of an expression or equation WRT a variable and returns ' format.

Uses is\oper,is\numeric,is\const

ds - Solves an equation for an expression.
mapsol-Maps a solution over an expression or equation.

Uses de\selsol

psol - Selects the primary solution of a solution set.

Uses is

selsol - Returns a specified solution of a solution set returned by "solve" or "csolve".
solToVec - Converts a solution set to a vector of solutions.
Examples

Integral Calculus - folder i download

parts - Does integration by parts.
sub - Makes a substitution in an integral using an equation.

Uses ut\varof

ci - Closed loop complex integral. Returns matrix of all pole values with pole value that is contained in the contour ( v < c).

Uses folders:al,is,p,tg,ut

allpoles - Sums the values of all poles of a Closed loop complex integral return value.
fracd - Does fractional derivatives

Uses i\fraci

fraci - Does fractional integrals
Examples

Logical Tests - folder is download

agregate - Returns true if arg character is <integral symbol> or <sum symbol> or

<product symbol> or d.

alpha - Returns true if arg character is a letter. (a-z)
const - Returns true if arg string starts with one of the following: abcdijklmn
greek - Returns true if arg character is greek
nexpr - Returns true if arg is a numeric expression
numeric - Returns true if arg character is numeric. (0-9.)
oper - Returns true if arg character is an operator.

Uses is\numeric,is\alpha

trig - Returns true if arg expression contains trig function calls
var - Returns true if arg string starts with a alpha.

Uses is\alpha

varof - Returns true if arg expression is a function of the arg variable

Number Theory - folder nt download

decomp - Makes prime decomposition of a number. (not mine)
divisors - Make a list of divisors of a number. (not mine)

Uses nt\decomp

emod - Evaluate an expression or equation mod a number.

Uses al\rpn,ut\sexpr,al\alg

grptab - Make a group table for an operator mod a number.
order - Find smallest n such that a^n=1 mod m.

Uses nt\power

power - Raises a number to the mth power mod p. Handles larger numbers than "^".

Uses nt\decomp

sqrt - Find the square root of a number mod m.

Uses nt\power

<phi symbol> - Euler's phi function, i. e. the number of numbers < n and relative prime to it.

Polynomials - folder p download

cfactors - Make a list of complex factors of an expression.
coef - Make a list of coefficients of a polynomial.
cubic - Find the exact roots of a cubic equation.

Uses p\coef

delitem - Deletes and item from the arg list.
div - Divide polynomials. Returns quotient and remainder.

Uses folder:al

eqof - Find the polynomial equation from a list of roots.
evalrt - Evaluate root answer returned by cubic.
findpoly - Finds the polynomial whose root is the given expression.

Uses folders:al,ut

<rho symbol> - returns the division ratio of an expression. (inverse of product)
Examples

Special Functions - folder sf download

Summation - folder s download

gen - Generate a sum aggregate from an expression, variable, and a numeric center. (Taylor's)

Uses ut\mkv,is\nexpr

ggeo - Guess the nth term from the first few terms of a geometric sequence.
guess - Guess the nth term from the first few terms of an algebraic sequence.
inofc - Returns the interval of convergence of a sum aggregate.

Uses ut\varof,al\terms,s\xpn,ut\wrt

join - The inverse of s\xpn. Will produce a single sum aggregate from the sum of 2 others.

Uses al\join,s\join,al\terms

recur - Guess the form of the first few terms of a recursive sequence.
split - Splits a single sum aggregate into the sum of two aggregates of even and odd terms.
sub - Substitute in a sum aggregate using an equation. Used to shift the index.

Uses ut\varof,ut\wrt

xpn - Expand out one term of a sum aggregate.

Uses al\join,s\xpn,al\terms

<delta symbol> - Take the difference of an expression WRT a variable.
Example of algebra and summation functions

Trig - folder tg download

pconv - This function changes all co-function calls in the arg expression to calculator built in trig function calls.

Uses al

cocnv - This function changes all primary trig functions calls in the arg expression to co-function calls.

Uses al

normal - This function normalizes trig expressions by attempting to remove denominators.

Uses tg,ut

simplify - This function simplifies an expression or equation containing trig functions in terms of co-functions.

Uses al

Utilities - folder ut download

arbn - Returns an arbitrary integer of the form @n<x> where <x> is an integer.
arbr - Returns an arbitrary number of the form @<x> where <x> is an integer.
cclose - Returns closing character given opening character i.e. one of these: ([{
custm - Makes custom menus for this package of functions.
fdend - Find the end of the current expression.
getstr - Returns left part of a string up to a given character.
mkf - Convert numeric to an expression of a variable given the current value of the variable.

Uses ut\mkv

mkv - Convert an expression to an expression of a variable given the current value of the variable.

Uses ut\mkf

rchar - Same as inString except searches from right to left.
sexpr - Same as expr, but takes an argument that evaluates to a string.
sub - Makes substitutions in an expression or equation. Works when "|" will not.