Two Boston-area incidents allegedly involving harassment and offensive language by supporters of President-elect Donald J. Trump after his Tuesday win are under investigation.

In the first incident, two men who were identified as Babson College students by school authorities drove through Wellesley College in a pickup Wednesday while waving a Trump flag, and uttered words and enagaged in actions that were “racially offensive and gender demeaning,” Babson officials said Thursday.

Officials at the two colleges, both in Wellesley, did not specify what the men said or did when they entered the all-women campus.

The United States Postal Service is also investigating after a man said he saw a postal worker in Cambridge this week shout at another man to leave the country, calling it “Trump land.”

Yarden Katz, a fellow in the systems biology department at Harvard Medical School, said in a telephone interview that he was at a Shell gas station at Webster and Cambridge streets about 1 p.m. Wednesday when the postal worker told an unidentified man, who looked to be of Hispanic descent, to, “Go back to your country.”

Katz said the worker, a white man with a beard, then said: “This is Trump land. You ain’t getting your check no more.”

USPS officials are investigating the incident, according to an agency spokesman.

At Babson, Lawrence P. Ward, vice president of student affairs, said in a letter to students that the two men drove by Wellesley’s Harambee House, which serves as the focal point for African-American students.

“It is important to understand that our students’ behavior was experienced by many students of color and perceived by many others . . . as racially offensive and gender demeaning,’’ Ward wrote.

In a separate statement, Babson president Kerry Healey, a former lieutenant governor, said the college received 40 “bias incident reports” related to the matter by Thursday, as well as phone calls and e-mails from concerned members of both college communities.

Healey said reports indicate the two men “antagonized” students, and investigators will determine if any laws or standards were violated.

Babson officials did not identify the two students. Their names appeared in Internet postings, but the Globe is not naming them because they have not been criminally charged or identified or penalized by Babson administrators.

One of the Babson students declined to comment in a brief telephone interview Thursday; the other could not be reached.

A video that surfaced online purportedly showed the two men laughing about the case.

“We are officially banned from Wellesley College,” one of the men said in the brief clip. “If we’re caught there, we’ll get arrested and subject to trespassing. Make America great again!”

Social media reports indicated the men had spit in the direction of Wellesley students and shouted bigoted remarks. Witnesses who contacted the Globe via e-mail Thursday could not immediately be reached for further comment.

The national leadership of the Babson students’ fraternity, Sigma Phi Epsilon, said in a statement Thursday that both men had been kicked out of the organization. Fraternity officials described their actions as “abhorrent to our members, alumni, and staff, and in no way represent Sig Ep’s values and aspirations for diversity and inclusion.’’

Wellesley campus police Chief Lisa Barbin said in an e-mail Thursday to the college community that her department is working with town police and Babson officials in the investigation.

Wellesley president Paula Johnson told students in a note that “the mood on campus right now is one of anxiety and concern.”

“This community’s well-being — and all that word encompasses — is foremost on my mind right now,” she wrote.

Attorney General Maura Healey’s office, which investigates civil rights violations, said it is aware of the incident and gathering more information, but prosecutors have not received a formal complaint or launched an investigation.

The campus incident came one day after Wellesley College hosted an election party, where students watched anxiously as Trump, a Republican, defeated Democrat Hillary Clinton, a Wellesley graduate.

Katz, the man who reported the Cambridge incident, shared on Twitter a photo of the complaint he filed with the Postal Service.

“It’s incredibly alarming,” he said in the phone interview. “Just one day after the election, and you see this kind of stuff.

. . . I would not have expected to see it in Cambridge — and so visibly.”

Steve Doherty, a Postal Service spokesman, said that the agency received a copy of Katz’s tweet on Thursday, and that the incident is being investigated.