Final answer:
The 'Second Supreme Anti-Basileus' and 'Undergraduate Members-at-Large' are likely titles for leadership roles in college student organizations such as sororities, fraternities, or professional societies. The exact responsibilities associated with these positions would be found in the organization's constitution or bylaws.
Step-by-step explanation:
The term 'Second Supreme Anti-Basileus' and 'Undergraduate Members-at-Large' are titles that are typically associated with leadership positions within collegiate organizations such as Greek-letter sororities and fraternities, or other professional student societies. These titles are not standard across all organizations and are likely specific to the constitution or bylaws of particular groups. The Second Supreme Anti-Basileus would be a high-ranking officer, possibly the second-in-command, after the Basileus (president or equivalent leader), and the Undergraduate Members-at-Large would likely represent the general undergraduate membership on the organization's governing council or board.
Individuals such as J. Gordon Betts, Peter Desaix, Eddie Johnson, Julianne Zedalis, John Eggebrecht, Samantha Fowler, Rebecca Roush, James Wise, and others listed may be professors or academics who have contributed to textbooks or reviews but their referencing does not have a direct relation to explaining college leadership titles.