514.sagews

"This is a short tutorial that will take you through the basic functions of sage math software.  Let us begin by adding and subtracting. Type in an expression and then click on evaluate."

2+7

9

2-7

-5

"As you can see from above, you can use the + and - key as you normally would to add and subtract.  You also use the * and / key to multiply and divide."

'As you can see from above, you can use the + and - key as you normally would to add and subtract. You also use the * and / key to multiply and divide.'

8*7

56

7/3

7/3

7.0/3.0

2.33333333333333

"Notice that if you use whole number and divide, you get a fraction.  So to divide, the number needs to have a decimal."

'As you can see, if you use whole number and divide, you get a fraction. So to divide, the number needs to have a decimal.'

x=var('x')
solve(x^2+3*x+2,x)
"Notice that you need to specify your variable, then tell sage to solve(put the expression in parenthesis followed by a comma and then the variable)

[x == -2, x == -1]

x, y, z=var('x y z')
solve([3*x + 2*y - 3*z == 1],x)
I want to point out a few things here.  Notice that you must put the multiplication sign (*) between 3 and x.  Without that sign, you will get an error.  Also notice that this solves to x but there are still three variables.  Next let us try to solve for more than one variable.

[x == (3*z - 2*y + 1)/3]

x, y = var('x, y')
solve([y==3x-4], x, y)

[[x == 2, y == 1]]

circle((0,0), 1, rgbcolor=(1,1,0))  This graphs a circle with radius one.

circle((1,2), 2, rgbcolor=(1,1,0))  this gives you a circle with radius two,centered at point (1,2)

line 4 line((y=x+b), rgbcolor=(_sage_const_1 ,_sage_const_1 ,_sage_const_0 )) ^ SyntaxError: invalid syntax