HP Mathematics II Manuel utilisateur
USER
MANUAL
Mathematics
II
CALCULUS
MATHEMATICS
II
VER1.0
A
mathematical
program
for
calculators
Odd
Bringslid
tsv
Postbox
10143601Kongsberg
NORWAY
.
Copyright©
1991
Odd
Bringslid
ISV
All
rights
reserved
The
authorshould
notbe
liable
forany
errors
or
conse-
quential
or
incidentialdamagesconnectingwith
the
furnis-
hing
performance
oruseofthe
applicationcard.
JS5
First
editionAugust1992
Contents
Generaly
6
Hardware
requirements
6
Starting
up7
User
interface
7
The
input
editor
9
Echoingfrom
the
stack
10
Calculation
finished
10
Moving
in
the
menu
10
STAT
and
MATR
menu
11
LeavingCALCULUS
11
Intermediateresults
12
Flagstatus
andCST
menu
12
Linear
algebra
13
Linear
equations(Gaussalgo-
rithm)
13
Matrix
calculations
16
Addition
16
Multiplication
16
Inverting
16
Determinant
16
Rank
17
Trace
17
Orthogonal
matrix
17
Transposedmatrix
17
Symmetric
17
Linear
transformations
18
2D
transformations
(two
dimen-
sions)
18
Rotation
18
Translation
19
Scaling
20
Concatinating
21
3D
transformations
(3
dimen-
sions)
23
Translation
23
Scaling
23
Rotation
23
Concatinating
24
Eigenvalueproblems
25
Eigenvalues
25
Eigenvectors
26
Diagonalization
27
Diffequations
28
Vectorspaces
30
Basis?
30
Norm
31
Norming
31
Scalar
product
31
Orthogonalization
31
Orthogonal?
32
Orthonorming
32
Vector
innew
basis
32
Transformationmatrix
innew
basis
34
rr
-~
L
Laplacetransforms
36
Laplace
transform
37
Invers
Laplacetransform
38
Inverse
L
Partialfractions
39
Diffequations
41
Probability
42
Withoutreplacement
43
Combinationsunordered
43
Combinationsordered
44
Hypergeometric
distribution
44
Hypergeometric
distr.function
44
Withreplacement
46
Combinationsunordered
46
Combinationsordered
47
Binomial
distribution
48
Binomial
dsitr.
function
49
Negative
binomial
distribution
49
Negativebinomial
distribution
func-
tion
50
Pascal
distribution
51
Pascaldistribution
function
52
Normal
distribution
53
Poisson
distribution
54
Poisson
distributionfunction
55
Info
55
Binomialcoefficients
55
Statistics
57
Distributions
58
Normal
distribution
58
Inverse
normaldistribution
58
Kjisquare
distribution
59
Inverse
Kjisquare
60
Studen-t
distribution
60
Inversestudent-t
61
Confidence
intervals
62
Mean,
known
o-
62
Mean,
uknown
a
Variance
uknown
^
63
Samplemean,
stdev,
median
65
Fitting
66
Normal
ditsribution,
"best
fit"
66
Hypothesis
normaldistribution
67
Hypothesis
binomialdistribution
68
Hypothesis
Poisson
distribution
69
L_
—
Class
table
69
^^T
Mean,
stdev
70
—
Discrete
table
70
it
Description
of
samples
71
Diskrete
table
£DAT
71
Classes
KSDAT
71
Cummulativ
table
72
72
^
2DAT
mean
and
st.deviation
72
[gr-
Histogram
KXDAT
73
Frequency
polygon
KXDAT
74
§2*j
Linear
regression
and
correlation
74
j
Fourierseries
75
Fourier
series,
symbolic
form
76
Fourier
series
numericform
78
Half
rangeexpansions
79
Linearprogramming
81
1
Generaly
This
is
part
IIof
CALCULUSmathematics.Togetherwith
part
HI
thiswillrepresent
a
completemath
pacfor
higher
technicaleducation.
As
in
part
I a
pedagogicalinterface
is
stressed.CALCULUS
mathematics
isa
pedagogicaltool
in
addition
toa
package
for
gettingthingscalculated.
Hardware
requirements
CALCULUSMath
II
runsunder
the
calculator
HP
48SX.
The
programcard
maybe
inserted
into
either
of
thetwo
ports
and
Math
I
could
beinthe
otherport.
1.
Generaly
Starting
up
The
LIBRARYmenuwill
show
up
MAILPushing
the
MAJI
key
willlead
you
into
the
main,
menu
and
then
you
simply
push
the
STARTkey.
User
interface
The
CALCULUS
meny
system
is
easy
to
use.Using
thear-
row
keys
allows
youto
move
the
dark
barand
select
by
pus-
hing
ENTER.
Inthe
following
example
you
willenter
the
submenu
for
LINEARALGEBRA
and
selectMatrices/Multiply.
RAD
{HOME
}
PRG
LAPLACETRANSFORMS
FOURIER
SERIES
LINEARPROGRAMMING
\r^
-
1.
Generaly
Table des matières
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