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Symbolic Math

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Maple lets you manipulate formulas symbolically. For example, here we rearrange the Van der Waals formula

 

vdwP+n2aV2Vnb = n RT:

solvevdw,P

nRTV2+abn2VanV2bn+V

(1)

Maple contains much more symbolic math functionality. Explore a few more examples below by selecting an item from the list below

 

 

Factor a Polynomial

 

factor6x2+18x24

6x+4x1

(2)

Details

 

Expand Functions and Distribute Products Over Sums

 

expandx+1x+2

x2+3x+2

(3)

Details

 

Sort the elements of a list, Vector, or one-dimensional Array

 

sort2,1,3

1,2,3

(4)

sorta,ba,aaa,aa,length

a,ba,aa,aaa

(5)

Details

 

Collect coefficients of like powers

 

g:=x2ⅇx2xⅇx+2ⅇxx2ⅇx2xⅇx2ⅇx:

collectg,ⅇx

x22x+2ⅇx+x22x2ⅇx

(6)

Details

 

Numerator or denominator of an expression

 

g1+xx12y:

numerg

x+1

(7)

denomg

xy

(8)

Details

 

Series expansion

 

seriessinx,x=4,5

sin4+cos4x412sin4x4216cos4x43+124sin4x44+Ox45

(9)

Details

Convert an expression to a different form

 

convert1+2 I,polar

polar5,arctan2

(10)

g:=sinhx+sinx

gsinhx+sinx

(11)

convertg,exp

12ⅇx12ⅇx12IⅇIxⅇIx

(12)

Details

 

Find indeterminates of an expression

 

indetsxy+zx

x,y,z

(13)

indetssinx y

x,y,sinx

(14)

indetssinxy,name

x,y

(15)

Details

 

Create a sequence of values or expressions

 

seqi2,i=1..10

1,4,9,16,25,36,49,64,81,100

(16)

seqi3, i in 2,1,3,6,7,7,4,2

1,8,27,64,216,343

(17)

seqi, i in black, red, purple,mauve

black,mauve,purple,red

(18)

Details

 

Solve a differential equation symbolically

 

eqⅆⅆtyt+sin2t=0,y0=0:

dsolveeq

yt=14sin2t12t

(19)

Details

Substitute an expression for another expression


subsa=x+1,foo=a+sinxa2

foo=x+1+sinxx+12

(20)

Details

 

Differentiate or integrate an expression


Differentiate or integrate an expression

diffx2,x

2x

(21)

int2 x,x

x2

(22)

Details: diff, int

 

Limit of an expression


This the the gain of an op amp

gain:=AC1R2s+1AC1C2R1R2s2+C1C2R1R2s2+AC1R1s+AC2R1s+C1R1s+C1R2s+C2R1s+1:


Compute the limit as A goes to infinity.

limitgain,A=infinity

C1R2s+1R1sC1C2R2s+C1+C2

(23)

Details