Individuals have also shouldered a lot of responsibility for their own upgrades. Lynda.com, which charges $25 a month for access to training videos on topics like the latest version of Photoshop, says its base of individual customers has been growing 42 percent a year since 2008. Online universities like Udacity and Coursera are on pace to double in size in a year, according to Josh Bersin of Bersin & Associates, a consulting firm that specializes in learning and talent management. The number of doctors participating in continuing education programs has more than doubled in the last decade, with the vast majority of the growth stemming from the increased popularity of Internet-based activities, according to the Accreditation Council for Continuing Medical Education in Chicago.

The struggle is not just to keep up, but to anticipate a future of rapid change. When the Asheville-Buncombe Technical Community College in North Carolina wanted to start a program for developing smartphone and tablet apps, the faculty had to consider the name carefully. “We had this title Mobile Applications, and then we realized that it may not be apps in two years, it may be something else,” said Pamela Silvers, the chairwoman of the business computer technologies department. “So we changed it to Mobile Development.”

As the metadata and digital archivist at Emory University, Elizabeth Russey Roke, 35, has had to keep up with evolving standards that help different databases share information, learn how to archive “born digital” materials, and use computers to bring literary and social connections among different collections to life. The bulk of her learning has been on the job, supplemented by the occasional course or videos on Lynda.com.

“For me, it’s easier to learn something in the classroom than it is on my own,” she said. “But I can’t exactly afford another three years of library school.”

Rapid change is a challenge for traditional universities; textbooks and even journals often lag too far behind the curve to be of help, said Kunal Mehta, a Ph.D. student in bioengineering at Stanford University. His field is so new, and changing so rapidly, he said, that there is little consensus on established practices or necessary skills. “It’s more difficult to know what we should learn,” he said. “We have advisers that we work with, but a lot of times they don’t know any better than us what’s going to happen in the future.”