There are total of 10 Missions. Here is a List with Name, Objective and Bonus Objective. Below is a Video and the Timeline.
A Elbereth GilthonielObjective: Kill all Archers
Bonus Objective: Kill 10 Uruks with Headshots
The Eye of VengeanceObjective: Kill 5 Uruks with Arrows at Close Range
Bonus Objective: Complete within 1 Minute
The Storm of WarObjective: Kill 10 Uruk Scouts with Arrows while Riding
Bonus Objective: Complete within 5 Minute
Shadow Under SiegeObjective: Kill 10 Uruks without entering Durthang
Bonus Objective: Set 5 Uruks on Fire
Swift MercyObjective: Kill 15 Uruks with Quick Shots in 30 Seconds
Bonus Objective: Kill 4 Uruks without leaving Focus Mode
The Secret FlameObjective: Kill 50 Ghûls with Explosions
Bonus Objective: Only Detonate 5 Barrels
Shadow and FlameObjective: Kill 30 Uruks with Barrel Explosions
Bonus Objective: Dont get hit
The Spirit of FireObjective: Kill 5 Uruks with Fire Arrows
Bonus Objective: Ignite 3 Barrel Stacks with Fire Arrows
There is no EscapeObjective: Let no Uruk Cowards reach Fort Morn
Bonus Objective: Pin in Place 3 Uruks
Jaws of SteelObjective: Kill 10 Uruk Guards without entering the Stronghold
Bonus Objective: Use Caragors to kill 5 Uruks
00:06 - A Elbereth Gilthoniel
01:32 - The Eye of Vengeance
02:27 - The Storm of War
05:13 - Shadow Under Siege
06:34 - Swift Mercy
07:16 - The Secret Flame
09:29 - Shadow and Flame
10:25 - The Spirit of Fire
12:26 - There is no Escape
13:26 - Jaws of Steel
15:00 - Azkâr Bow View