Assignment 1
Define following expressions as symbolic expressions in Sage.
   1.  x^2+y^2
   2.  y^2-4ax

Assignment 2
Find the values of the following constants upto 6 digits precision
   1.  pi^2
   2.  euler_gamma^2
Find the value of the following.
    1. sin(pi/4)
    2. ln(23)

Assignment 3 
Define the piecewise function
f(x)=3x+2 when x is in the closed interval 0 to 4.
f(x)=4x^2 between 4 to 6.
Sum of 1/(n^2-1) where n ranges from 1 to infinity. 

Assignment 4
Differentiate the following.
    sin(x^3)+log(3x) , degree=2
    x^5*log(x^7) , degree=4
Integrate the given expression
sin(x^2)+exp(x^3)
Find x
cos(x^2)-log(x)=0 Does the equation have a root between 1,2. 

Assignment 5
Find the determinant and inverse of
A = [[x,0,1][y,1,0][z,0,y]] 

Assignment 6
How do you define a name 'y' as a symbol?
Get the value of pi upto precision 5 digits using sage?
Find third order differential function of
    f(x) = sin(x^2)+exp(x^3)