Bonus courses - Successfully complete the indicated task to unlock the corresponding course:

Doral: Win the first Tournament Challenge there or buy the course pass.
East Lake: Win the first Tournament Challenge there or buy the course pass.
Harbour Town: Win the first Tournament Challenge there or buy the course pass.
Hazeltine: Win the first Tournament Challenge there or buy the course pass.
Oakmont: Win the first Tournament Challenge there or buy the course pass.
Pebble Beach: Win the first Tournament Challenge there or buy the course pass.
Pinehurst No. 2: Win the first Tournament Challenge there or buy the course pass.
Torrey Pines: Win the first Tournament Challenge there or buy the course pass.
TPC Boston: Win the first Tournament Challenge there or buy the course pass.
Wentworth: Win the first Tournament Challenge there or buy the course pass.

Bonus Challenges - Successfully complete all Tournament Challenges to unlock the first Bonus Challenge. Successfully complete a Bonus Challenge to unlock the next one.

1. Score a birdie in heavy wind and rain.
2. Shoot the ball over the television tower and sink it.
3. Shoot the ball off a lily pad and sink it.
4. Skip the ball three times off the water and land on the green within 10 feet of the pin.

Trophies - Successfully complete one of the following tasks to get a trophy:

Teamwork (Silver): Watch the credits.
The Ultimate Challenge (Silver): Shoot Par or under on Tour Pro in an 18-hole round, using the Precision Putter, Green Grid set to Off, Very Fast Greens and Fairways, and Long Roughs.
Play with the Big Boys (Silver): Drive the ball 400 or more yards in the fairway in any Traditional or Online game modes.
Raindancer (Silver): Play in the rain and score an Eagle or better in any Stroke based Traditional or Online game modes.
Eye of the Hurricane (Silver): Shoot under Par through a Gale Force wind in a Traditional or Online game mode 18-hole round.
It's All in the Hips (Silver): Use Precision Putter to sink a 30ft putt without Putt Preview, in a Traditional or Online game mode.
Blammo! (Silver): Earn the Bingo, Bango and Bongo point on a single shot in the Bingo Bango Bongo Traditional game mode.
Aces High (Silver): Ace a Par 4 or a Par 5 hole in any Traditional or Online game mode.
Piece of Cake (Silver): Post a Top 50 score in a Live Tournament.
Tough at the Top (Silver): Compete in Play-The-Pros mode and submit your score online.
Big Tuna (Silver): Play an 18-hole Traditional or Online game mode round in FIR and GIR using only tuned clubs.
Ten Thousand Ways (Gold): Earn 10,000 EA SPORTS GamerNet Player Points.
The Comeback Kid (Gold): Come back from a +5 or worse to finish Even or better, in any Traditional or Online game mode round.
Riding Spinnaz (Gold): Sink an approach shot using backspin covering a distance of 5ft or greater in any game mode.
Bare Minimum (Gold): Play a round under Par in a Traditional or Online game mode with a Driver, SW, 5 Iron and Putter.
Weather Report (Gold): Complete an online 18-hole round in the rain using the Live Weather feed.
Big Money (Gold): Win 5 Million Dollars in Live Tournaments.
Sharkies (Gold): Play 18 holes online against an EA Tiburon team member or against any player who has this Trophy.
Grand Slam (Platinum): Congratulations for unlocking all trophies in Tiger Woods PGA TOUR 10!

Additionally, there are two secret trophies:

From Bad to Worse (Silver): Hit the ball from any bunker into a different hazard, such as a Water Hazard or Out of Bounds.
Mulligans Island (Silver): Use 20 or more Mulligans during an 18-hole round, in any Traditional or Online game modes.