Combinatorics
Elementary Symmetric Polynomials
Complete Homogeneous Symmetric Polynomials
Power Sum Symmetric Polynomials
Schur Functions
Group Actions on Sets
Orbits and Stabilizers
Burnside's Lemma
Polya Enumeration
Applications to Counting Problems
Characters and Representations
Applications to Combinatorial Problems
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12. Probabilistic Combinatorics
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14. Extremal Combinatorics