Trigonometrical functions:

sin(x)	sine
cos(x)	cosine
tan(x)	tangent
asin(x)	arcsine
acos(x)	arccosine
atan(x)	arctg
atan2(x)	a two argument arctg
sinh(x)	hyperbolic sine
cosh(x)	hyperbolic cosine
tanh(x)	hyperbolic tangent
asinh(x)	hyperbolic arcsine
acosh(x)	hyperbolic arccosine

Functions for work with polynoms:

expand(expr)	expand expression, i.e. multiply it out and return the result as a new expression.
collect(expr, s)	sort expanded expression in terms of powers of some object(s)
normal(expr)	normalization of rational functions. This function converts an expression to its normal form "numerator/denominator", where numerator and denominator are (relatively prime) polynomials.
degree(expr, s)	degree of highest power of s in expr
ldegree(expr, s)	degree of lowest power of s in expr
coeff(expr, s, n)	coefficient of degree n of s in expr
lcoeff(expr, s)	coefficient degree of highest power of s in expr
tcoeff(expr, s)	coefficient degree of lowest power of s in expr
numer(expr)	numerator of an expression. If the expression is not of the normal form "numerator/denominator", it is first converted to this form and then the numerator is returned.
denom(expr)	denominator of an expression. If the expression is not of the normal form "numerator/denominator", it is first converted to this form and then the denominator is returned.

Other functions:

abs(x)	absolute value
csgn(x)	complex sign function
eta(x,y)	log(x*y) - log(x) - log(y)
Li2(x)	dilogarithm
Li3(x)	three-logarithm
factorial(x)	factorial
binomial(x)	binominal factor
lgamma(x)	the natural gamma - function logarithm
tgamma(x)	gamma - function
beta(x)	beta-function
exp(x)	exponent
log(x)	the natural logarithm
lsolve	the solution of a linear algebraic equations system
heaviside	unit step function
diff(f(t), t)	the 1st derivative from f (t) up to t
diff(f(t), t, n)	n derivative from f (t) up to t

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