"I feel like it's Mother's Day all over again," she told the paper.
Graduate Elijah Dormeus, a business administration major, told the newspaper: "If I could do a backflip I would. I am deeply ecstatic."
Dormeus, 22, who is from Harlem, said he has $90,000 in student loans. His mother, Andrea Dormeus, who drives a school bus, came to his graduation with his five siblings.
In addition to being commencement speaker, Smith received an honorary doctorate from the school Sunday. He didn't announce the motivation behind his gift, but there might be some clues in his remarks to the graduates.
At the beginning of his speech, he said that earning a college degree is one of the "greatest and most impressive" accomplishments in a person's life.
"But success has many parents," he continued. "And as hard as each of you has worked to achieve what you all have achieved today, you've had a lot of help along the way. We are the products of a community, a village, a team."
Smith talked briefly about his family, saying that one of his daughters is graduating from New York University this week, another is finishing high school and will attend Barnard in the fall, and his niece is graduating from his alma mater Cornell next week.
He said that before he got in to private equity and made his fortune, he was a chemical engineer who "spent pretty much every waking hour in windowless labs doing the work that helped me become an expert in my field." That, he said, was the foundation for his success.
"Only after I put in the time to develop this expertise and the discipline of the scientific process that I was able to apply my knowledge beyond the lab," he said. "Greatness is born out of the grind. Embrace the grind."
He encouraged the graduates to enjoy their diplomas, but also impressed upon them the responsibility to do great things with it.
"The degree you earn today is one of the most elite credentials that America has to offer," he said. "But I don't want you to think of it as a document that hangs on a wall and reflects what you've accomplished up till now. No. That degree is a contract - a social contract - that calls on you to devote your talents and energies to honoring those legends on whose shoulders you and I stand."
Smith, who is chairman and CEO of Vista Equity Partners, a software and technology investment firm, is a famously private person and declined to be interviewed for this article.
But with this gift, he's raised his profile, and has a lot of people talking.
"It literally takes your breath away," his spokesperson said.
Actress Angela Bassett also received an honorary degree along with Smith. His announcement comes after he had already pledged $1.5 million to the school in part for student scholarships and new park on campus.