Algebra

 

Topic Overview:
+
-
/
*
^
sqrt
sum
evalf
   
factor
expand
simplify

Basic Math

 
+ - * /
  
  Description: These are the math operations for adding, subtracting, multiplying, and dividing.
  Example: Maple uses standard operations of weight. This will multiply the two sums and divide.
 

> (2+6)*(3-1)/2;

8

 
^
 
  Description: This is just your basic math operation for 'to the power'.
  Example: This will take 2 to the power of 20.
 

> 2^20;

1048576

  sqrt  
  Description: This is just your basic math operation for square root.
  Example: Maple uses standard operations of power. This will multiply the two sums and divide.
 

> sqrt(81);

9

  sum  
  Description: Allows you to obtain the sum
  Example:
 

> sum(2*n, n = 1..4);

20



  evalf  
  Description: This is used to 'evaluate floating' up to 10 digits by default.
  Example: Here setting up the equation for Area. We then set r. Finally, we can evaluate the area with a radius of 5.
 

> Area:=Pi * r^2;

[Maple Math]

> r:=5;

r := 5

> evalf(Area);

78.53981635


Symbolic Calculations

  factor  
  Description: Allows you to factor (e.g. polynomials)
  Example: Here we setting a polynomial to the name p. Then we factor it.
 

> p := x^2 + 2*x - 3;

[Maple Math]

> factor(%);

(x + 3) (x -1)


  expand  
  Description: Allows you to expand (e.g. polynomials)
  Example: Here we seting the polynomial to f and expanding it.
 

> f := (x+4)*(x-2);

[Maple Math]

> expand(f);

[Maple Math]

  simplify  
  Description: This will allow you to simplify equations
  Example:
 

> p := x^2 + 2*x - 3;

[Maple Math]

> p/(x-1);

[Maple Math]

> simplify(%);

[Maple Math]