The students batted first and took their total in the second day before declaring on 316-8 with Bradshaw 52 not out.
Warwicks showed the sorting of batting that supporters have long known and gave away cheap wickets. Westwood 2,Maddy 9 and Powell 10 had The Bears 58-3.
Troughton,Trott, Botha, Frost and Gronevald all lost their wickets with only Navsdeep Poonia really troubling the scorers with an innings of 65.
The Bears could have lost it but Neil Carter and Chris Woakes held on and steered Warwicks to 285-9 at the close and tie the match.
Coventry's Ian Bell has been named as one of Wisden's Five Cricketers Of The Year in the cricketing bible for 2008.
Bell,who had a reasonable time with the bat during the recent England tour of New Zealand, joins a long list of Warwickshire players nominated for this award. Previous nominees include MJK Smith, Dennis Amiss,Bob Willis, Alvin Kallicharran, Geoff Humpage, Allan Donald,Tim Munton,Dermot Reeve and current Warwickshire boss Ashley Giles.