Complex sentence: He had a belief that Warwick must maintain a balance between "pure" and "applied" disciplines: you could justify a strong commitment to the Humanities if you had a Business School, a very pure Maths Department if you had Engineering.
Split into simpler sentences: He had a belief that Warwick must maintain a balance between "pure" and "applied" disciplines. You could justify a strong commitment to the Humanities if you had a Business School, a very pure Maths Department if you had Engineering.