If you use the above link to the ASEE program profile, you see there is about 6,500 full time undergraduates, and about 1,800 full time grad students. Then UF has several hundred part-time students.
The ASEE profile also breaks it down by class. Keep in mind that freshman/sophomores don’t have to commit to engineering until they are juniors. Also, a lot of students have AP/IB/AICE/DE credits, so start school as Sophomores.
2018
Freshman: 613
Sophomore: 1213
Junior: 1463
4th/5th Year Seniors: 3203
Because a lot of engineers have AP/IB/AICE/DE credits (many which may not apply toward their degree), and since it takes about 4.5 years to graduate, the “senior” class is by far the largest.