circuit design

I am trying to learn how to design circuits and was going to start with something that is "useful" and design a voltage amplifier. Was wondering if anyone could tell me the flaws (if any) that are in the below problem.

The data sheet for the transistor is here : http://www.ortodoxism.ro/datasheets/microsemi/2n3634.pdf

and here is my little circuit :

Vcc = 10v
Ic  = 10mA
Hfe = 100
Q1  = 2N3635

Ib  = (Ic/Hfe) = (.01/100) = 0.0001 or .1mA
R1  = (.5Vcc)/Ic = (5v/.01) = 500
R2  = 1/(Ic+Ib) = 1/(.01+.0001) = ~99
R4  = (Vr2+Vb-e)/(9*Ib) = 6v/.9mA = 6666
Vr3 = 10-6 = 4v;
R3  = 4v/(Ir4+Ib) = 4v/1mA = 4000

R1 = 500
R2 = 100
R3 = 4k
R4 = 6.5k



	   o Vcc
	   |
          --------.
  |	   |
  3	   3
  3 R3     3 R1
         3        3 
  |        |
	  |        .----|(--o
  |        |
         |      |/
o---|(----.------|  Q1
  |      |\>
  |	   |
  3	   3
         3 R4	   3 R2
         3	   3
  |	   |
  G	   G