The following video walkthrough which you can use as a guide if you get stuck is sequential Gameplay of all fourteen levels in Prince of Persia: The Shadow and the Flame.
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 4 - Boss
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14