Concepts which were taught included various operations on representations, the averaging trick, Schur's lemma, studying representations via their characters (irreducible representations, orthogonality of their characters, the regular representation, irreducible representations and conjugacy classes, uniqueness of isotypic components and the canonical decomposition), integrality properties of characters, induced representations, Frobenius reciprocity, Mackey's irreducibility criterion, Young tableaux and Sprecht representations. Brief ideas about compact (Lie) groups and the Haar measure on these was also discussed.
The scoring was based on 2 quizzes worth 22 points each, 6 homeworks totalling 14 points and a comprehensive final.
The class was credited by 9 students including 1 Ph.D. student, but there were about an equal number of students of varying backgrounds who chose to sit in for classes.