Bordeaux has an excellent public transport system of busses and trams. Single rides cost € 1.50 (including the Liane 1 from the Airport to anywhere in city). A ticket is valid in connections made within an hour from starting. Cheap and comfortable is the 7-day pass with unlimited rides for € 13.00. You can buy this tickets from machines at tram stops and in front of airport hall B where Liane runs to the city every 10 minutes.
An alternative for public transport is the public bike share system V3 (V Cub). You will see many people passing on the distinctive orange and blue likes.You register your account by using your credit card at any of the 140 stations in the city, the network takes a deposit of €200 straight up which is charged if the bike is stolen or lost. Then your credit card is debited a €2 per hour until you return the bike to a station. However, rides of up to 30 minutes are free, and 30 minutes is enough to get you from anywhere to anywhere, including Talence university campus! So your week’s travel in the city could be for free.
Downtown Bordeaux is small enough to be explored on foot.