This page of The Last of Us game guide contains a walkthrough of the Go Big Horns! stage as part of The University Chapter. The exploration of vast university grounds is, unfortunately, associated with encounters with the infected. Our walkthrough suggests, among others, how to get the flame thrower that can be immensely useful in eliminating groups of monsters.
After this chapter starts, keep going ahead along the only available path.
At some point, you will be passing by a building with large balconies which is standing to the right. Dismount (the triangle) and search through the building. Inside you will find a lot of useful items and a work bench that you can upgrade your weapons on.
Behind the first blockade, which you need to jump over, and the wide staircase, there is a big barricade.
To be able to ride on, you will have to get around it through the destroyed building to the left.
When you take part with Ellie, approach the gate to the right. Next to the gate, there is a new weapon for you to collect - flame thrower. Pick it up and go upstairs where the yellow cable comes from.
There is quite an army of mutants waiting there for you. To kill them, draw their attention to yourself and run downstairs. Then, in several short series from the flame thrower, set them all on fire.
After you have cleared the area, you will be able to go upstairs again and start the generator.
Behind the gate this opens, ride ahead until you reach a big square with a fountain in the middle.
There, you should ride to the left edge and turn right.
The path will take you to a locked gate, which you can get around by squeezing through the barricaded door to the right.
Climb up to the higher floor of the building and search it thoroughly. Then, jump into the hole in the floor to get to a place full of spores and clickers.
To avoid getting into fight, sneak to the room to the left and turn right at the end. Kill the clicker with your knife. As you go ahead, you should be able to locate a bloater (thanks to listening out). You do not need to kill it. It is enough if you squeeze past the creature from the left and open the door at the end of the corridor, by pressing the square.
If you decide to fight, though, throw a Molotov's cocktail at the enemy and finish it out with your shotgun or the flame thrower.
Once you escape from the mutants, climb up the stairs and leave the building. You now need to move the red generator towards the locked gate and start it running.
This way you will make it possible for you and Ellie to ride through.
By riding ahead, you will eventually reach a laboratory building. There is a locked gate at its left end.
To open it, turn around and give a push to the container on your right.
With the gate opened, you need to push the container towards the truck to the right and climb onto the truck to get into the building through the hole in the wall.