OK, the odds are very good this question will be put on hold because it's an open-ended climate question. In my very, very simplistic way of answering your question, I'm exposing just how complext this really is.
Currents & a Jet Stream
I've taken the liberty to cut-and-paste your map so we can see what I'm loviningly calling the Great Basin Ocean. The magenta lines are very, very, very rough currents. PLEASE NOT THAT THEY ARE WRONG All ocean currents start at the equator and loop north or south to colder climates. I've ignored the "middle of the loops" at the equator, which would split what I've drawn in half horizontally. I sincerely apologize, but I haven't the time to redraw the image after realizing my mistake — so you'll need to imagine it.
Those magenta lines basically represent what on your world would be the equivalent to the North Atlantic Current and the South Pacific Gyer. Check out the detail on Wiki's South Pacific Gyer page... look at how complex those currents are. You should be getting and idea of how massive and complex this problem is.
The white line is a possible Jet Stream that moves moisture and air around the globe due to the north polar region, currents, mountains, wind patterns, and a million other variables.
IF YOU ASSUME MY GUESSES ARE ANYWHERE NEAR CORRECT
Then the peninsula on the left is tropical, the area north of it above the jet stream is temperate trending to cold as you go north. The central mass west of your mountain is temperate, but cooler as ploar air is pulled onto it by the jet stream. I'm thinking the great rocky mountain forests around Banff, Canada or the Alps and Bavarian forests.
The area east and south of your mountain I expect to be warm and arid, even desert. Especially the peninsula above the small current loop on the right and the blob of continent to the east of it.
That's a WILD AND CRAZY GUESS given that we know abosolutely NOTHING about your world's currents, climates, and disposition.
It would be mega cool for some college grad student to create a climate simulator that took a map like this... but the computational power needed to determine the climate makes my head ache
EDIT @Khris points us to the PlaSim project which is among the coolest things I have seen in my entire life. Fortunately, I learned Fortran in college (haven't used it since, but this is beyond tempting). I've gotta have the pieces to put together a reasonable Linux machine and they claim they can simulate 100years-per-CPU day. Heck, I'd be happy to simulate ONE. I haven't taken the time to figure out how to import a custom planet... but it appears it can be done.
And you could probably earn a degree in climatology just reading the manuals and beating your way through all the math. Dang! Let me say that again... Dang!