Give those Harvard kids an A-plus in another subject: Bracketbusting 101.

Wesley Saunders scored 18 points and Laurent Rivard made five 3-pointers to help the 14th-seeded Crimson pull off the biggest upset on the first full day of NCAA tournament games, knocking out third-seeded New Mexico, 68-62.

The Ivy League advanced for the first time since a very good Cornell team made the regional semifinals in 2010. The Mountain West Conference, judged one of the top two leagues in college basketball all season, fell to 1-3 so far this week.

Harvard will play Arizona on Saturday.

The Crimson (20-9) put the clamps down on New Mexico’s Tony Snell, holding him to nine points on 4-for-12 shooting after he dominated in the MWC tournament. They banged inside with Lobos big men Cameron Bairstow and Alex Kirk, whose 22 points provided New Mexico’s only consistent offense.

Mostly, they showed none of the jitters that marked their trip to the tournament last year — a 79-70 loss to Vanderbilt in Harvard’s first NCAA appearance since 1946.

Arizona 81, Belmont 64

Mark Lyons scored 23 points and sixth-seeded Arizona rolled past Belmont.

The Wildcats (26-7) used their huge size advantage to shut down the Bruins (26-7), who are 0-6 in tourney games.

Gonzaga 64, Southern 58

A March Madness warmup turned into a great escape for Gonzaga.

The Zags got pushed to the limit by Southern, pulling out a victory in the closing minutes to avoid becoming the first No. 1 seed to lose to a 16 in the NCAA tournament.

Kelly Olynyk led the Zags (32-2) with 21 points. They play No. 9 Wichita State on Saturday.

Marquette 59, Davidson 58

Vander Blue’s layup with a second left capped Marquette’s late rally against 14th-seeded Davidson.

Blue and Jamil Wilson made consecutive 3-pointers to bring Marquette to 58-57 with 11 seconds left. The third-seeded Golden Eagles then caught a huge break when De’Mon Brooks’ long inbounds pass went out of bounds at midcourt with 5.5 seconds left, providing another opportunity.

Butler 68, Bucknell 56

Andrew Smith had 14 points and a career-high 16 rebounds, Roosevelt Jones also scored 14 and sixth-seeded Butler made its free throws down the stretch to hold off Bucknell.

California 64, UNLV 61

Allen Crabbe had 19 points and nine rebounds, reserve Robert Thurman scored all 12 of his points on dunks and 12th-seeded California held off UNLV.

Syracuse 81, Montana 34

Brandon Triche scored 20 points, C.J. Fair added 13 and the fourth-seeded Orange shut down No. 13 seed Montana with their zone defense in the biggest NCAA tournament blowout by a team seeded third or lower.

Louisville 79, North Carolina A&T 48

Russ Smith scored 23 points and had eight of Louisville’s NCAA tournament-record 20 steals in an easy win over North Carolina A&T.

Peyton Siva added eight assists and four steals for top-seeded Louisville, which limited the 16th-seeded Aggies (20-17) to 42 percent shooting and harassed them into 27 turnovers.

Colorado State 84, Missouri 72

Dorian Green scored 17 of his 26 points in the first half and eighth-seeded Colorado State ran away from Missouri.

Michigan State 65, Valparaiso 54

Derrick Nix had 23 points and a career-high 15 rebounds to help power third-seeded Michigan State past the 14th-seeded Crusaders in the Midwest Regional.

Memphis 54, St. Mary’s 52

Matthew Dellavedova’s 3-pointer from the right wing missed everything as time expired, allowing sixth-seeded Memphis to hold on for a win over 11th-seeded Saint Mary’s.

St. Louis 64, New Mexico State 44

Dwayne Evans scored 24 points, Cody Ellis added 12 and fourth-seeded Saint Louis overwhelmed New Mexico State in the Midwest Regional.

Oregon 68, Oklahoma State 55

Damyean Dotson scored 17 points and Arsalan Kazemi added 11 points and 17 rebounds to help 12th-seeded Oregon beat fifth-seeded Oklahoma, extending a run that began in the Pac-12 tournament.

Michigan 71, South Dakota State 56

Glenn Robinson III scored 21 points and Mitch McGary added 13 points and nine rebounds, helping fourth-seeded Michigan overcome a rough night for star Trey Burke.

VCU 88, Akron 42

Troy Daniels had 23 points, Juvonte Reddic scored 21 and VCU routed Akron in the most lopsided victory by a fifth-seeded team over a No. 12 in NCAA tournament history.

The previous mark was Wyoming’s 35-point win over Howard in 1981.